Use of Force
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Glossary Physics (I-Introduction)
1 Glossary Physics (I-introduction) - Efficiency: The percent of the work put into a machine that is converted into useful work output; = work done / energy used [-]. = eta In machines: The work output of any machine cannot exceed the work input (<=100%); in an ideal machine, where no energy is transformed into heat: work(input) = work(output), =100%. Energy: The property of a system that enables it to do work. Conservation o. E.: Energy cannot be created or destroyed; it may be transformed from one form into another, but the total amount of energy never changes. Equilibrium: The state of an object when not acted upon by a net force or net torque; an object in equilibrium may be at rest or moving at uniform velocity - not accelerating. Mechanical E.: The state of an object or system of objects for which any impressed forces cancels to zero and no acceleration occurs. Dynamic E.: Object is moving without experiencing acceleration. Static E.: Object is at rest.F Force: The influence that can cause an object to be accelerated or retarded; is always in the direction of the net force, hence a vector quantity; the four elementary forces are: Electromagnetic F.: Is an attraction or repulsion G, gravit. const.6.672E-11[Nm2/kg2] between electric charges: d, distance [m] 2 2 2 2 F = 1/(40) (q1q2/d ) [(CC/m )(Nm /C )] = [N] m,M, mass [kg] Gravitational F.: Is a mutual attraction between all masses: q, charge [As] [C] 2 2 2 2 F = GmM/d [Nm /kg kg 1/m ] = [N] 0, dielectric constant Strong F.: (nuclear force) Acts within the nuclei of atoms: 8.854E-12 [C2/Nm2] [F/m] 2 2 2 2 2 F = 1/(40) (e /d ) [(CC/m )(Nm /C )] = [N] , 3.14 [-] Weak F.: Manifests itself in special reactions among elementary e, 1.60210 E-19 [As] [C] particles, such as the reaction that occur in radioactive decay. -
Use of Force
Policy Tualatin Police Department ••• Policy Manual Use of Force 300.1 PURPOSE AND SCOPE This policy recognizes that the use of force by law enforcement requires constant evaluation. Even at its lowest level, the use of force is a serious responsibility. The purpose of this policy is to provide officers of this department with guidelines on the reasonable use of force. While there is no way to specify the exact amount or type of reasonable force to be applied in any situation, each officer is expected to use these guidelines to make such decisions in a professional, impartial and reasonable manner. 300.1.1 PHILOSOPHY The use of force by law enforcement personnel is a matter of critical concern both to the public and to the law enforcement community. Officers are involved on a daily basis in numerous and varied human encounters and when warranted, may use force in carrying out their duties. Officers must have an understanding of, and true appreciation for, the limitations of their authority. This is especially true with respect to officers overcoming resistance while engaged in the performance of their duties. The Department recognizes and respects the value of all human life and dignity without prejudice to anyone. It is also understood that vesting officers with the authority to use reasonable force and protect the public welfare requires a careful balancing of all human interests. 300.1.2 DUTY TO INTERCEDE Any officer present and observing another officer using force that is clearly beyond that which is objectively reasonable under the circumstances shall, when in a position to do so, intercede to prevent the use of such excessive force. -
Classical Mechanics
Classical Mechanics Hyoungsoon Choi Spring, 2014 Contents 1 Introduction4 1.1 Kinematics and Kinetics . .5 1.2 Kinematics: Watching Wallace and Gromit ............6 1.3 Inertia and Inertial Frame . .8 2 Newton's Laws of Motion 10 2.1 The First Law: The Law of Inertia . 10 2.2 The Second Law: The Equation of Motion . 11 2.3 The Third Law: The Law of Action and Reaction . 12 3 Laws of Conservation 14 3.1 Conservation of Momentum . 14 3.2 Conservation of Angular Momentum . 15 3.3 Conservation of Energy . 17 3.3.1 Kinetic energy . 17 3.3.2 Potential energy . 18 3.3.3 Mechanical energy conservation . 19 4 Solving Equation of Motions 20 4.1 Force-Free Motion . 21 4.2 Constant Force Motion . 22 4.2.1 Constant force motion in one dimension . 22 4.2.2 Constant force motion in two dimensions . 23 4.3 Varying Force Motion . 25 4.3.1 Drag force . 25 4.3.2 Harmonic oscillator . 29 5 Lagrangian Mechanics 30 5.1 Configuration Space . 30 5.2 Lagrangian Equations of Motion . 32 5.3 Generalized Coordinates . 34 5.4 Lagrangian Mechanics . 36 5.5 D'Alembert's Principle . 37 5.6 Conjugate Variables . 39 1 CONTENTS 2 6 Hamiltonian Mechanics 40 6.1 Legendre Transformation: From Lagrangian to Hamiltonian . 40 6.2 Hamilton's Equations . 41 6.3 Configuration Space and Phase Space . 43 6.4 Hamiltonian and Energy . 45 7 Central Force Motion 47 7.1 Conservation Laws in Central Force Field . 47 7.2 The Path Equation . -
THE EARTH's GRAVITY OUTLINE the Earth's Gravitational Field
GEOPHYSICS (08/430/0012) THE EARTH'S GRAVITY OUTLINE The Earth's gravitational field 2 Newton's law of gravitation: Fgrav = GMm=r ; Gravitational field = gravitational acceleration g; gravitational potential, equipotential surfaces. g for a non–rotating spherically symmetric Earth; Effects of rotation and ellipticity – variation with latitude, the reference ellipsoid and International Gravity Formula; Effects of elevation and topography, intervening rock, density inhomogeneities, tides. The geoid: equipotential mean–sea–level surface on which g = IGF value. Gravity surveys Measurement: gravity units, gravimeters, survey procedures; the geoid; satellite altimetry. Gravity corrections – latitude, elevation, Bouguer, terrain, drift; Interpretation of gravity anomalies: regional–residual separation; regional variations and deep (crust, mantle) structure; local variations and shallow density anomalies; Examples of Bouguer gravity anomalies. Isostasy Mechanism: level of compensation; Pratt and Airy models; mountain roots; Isostasy and free–air gravity, examples of isostatic balance and isostatic anomalies. Background reading: Fowler §5.1–5.6; Lowrie §2.2–2.6; Kearey & Vine §2.11. GEOPHYSICS (08/430/0012) THE EARTH'S GRAVITY FIELD Newton's law of gravitation is: ¯ GMm F = r2 11 2 2 1 3 2 where the Gravitational Constant G = 6:673 10− Nm kg− (kg− m s− ). ¢ The field strength of the Earth's gravitational field is defined as the gravitational force acting on unit mass. From Newton's third¯ law of mechanics, F = ma, it follows that gravitational force per unit mass = gravitational acceleration g. g is approximately 9:8m/s2 at the surface of the Earth. A related concept is gravitational potential: the gravitational potential V at a point P is the work done against gravity in ¯ P bringing unit mass from infinity to P. -
PLUMHOFF V. RICKARD
(Slip Opinion) OCTOBER TERM, 2013 1 Syllabus NOTE: Where it is feasible, a syllabus (headnote) will be released, as is being done in connection with this case, at the time the opinion is issued. The syllabus constitutes no part of the opinion of the Court but has been prepared by the Reporter of Decisions for the convenience of the reader. See United States v. Detroit Timber & Lumber Co., 200 U. S. 321, 337. SUPREME COURT OF THE UNITED STATES Syllabus PLUMHOFF ET AL. v. RICKARD, A MINOR CHILD, INDIVIDUALLY, AND AS SURVIVING DAUGHTER OF RICKARD, DECEASED, BY AND THROUGH HER MOTHER RICKARD, AS PARENT AND NEXT FRIEND CERTIORARI TO THE UNITED STATES COURT OF APPEALS FOR THE SIXTH CIRCUIT No. 12–1117. Argued March 4, 2014—Decided May 27, 2014 Donald Rickard led police officers on a high-speed car chase that came to a temporary halt when Rickard spun out into a parking lot. Rick- ard resumed maneuvering his car, and as he continued to use the ac- celerator even though his bumper was flush against a patrol car, an officer fired three shots into Rickard’s car. Rickard managed to drive away, almost hitting an officer in the process. Officers fired 12 more shots as Rickard sped away, striking him and his passenger, both of whom died from some combination of gunshot wounds and injuries suffered when the car eventually crashed. Respondent, Rickard’s minor daughter, filed a 42 U. S. C. §1983 action, alleging that the officers used excessive force in violation of the Fourth and Fourteenth Amendments. -
A Study of Militarization and Use of Force
LIVING IN OCCUPIED TERRITORY: A STUDY OF MILITARIZATION AND USE OF FORCE Cori Pryor A Thesis Submitted to the Graduate College of Bowling Green State University in partial fulfillment of the requirements for the degree of MASTER OF ARTS May 2020 Committee: Thomas Mowen, Advisor Steve Demuth Danielle Kuhl ii ABSTRACT Thomas Mowen, Advisor Police militarization is happening on a widespread scale across the United States. However, very little is known about its relationship with use of force. At the same time, there has been a growing focus on community policing. Given the concurrent establishment of both of these trends, it is problematic that we do not know how these two tactics interplay with one another, especially in regard to use of force. Additionally, though force is thought to be a mechanism of social control that is unequally distributed in nonwhite communities, studies examining the link between militarization and use of force have yet to include race/ethnicity into their analysis. This paper attempts to address this important gap in the literature by examining the relationship between militarization and use of force through the lens of minority threat theory. I use data from Law Enforcement Management and Statistics 2013, American Community Survey 2009, and Uniform Crime Reports 2013, as well as item response theory and multivariate regression techniques to study this relationship. Results show that militarization is positive and significantly related to the number of use of force incidents recorded by an agency. Additionally, community policing shares a positive and significant relationship with use of force. However, neither racial demographics nor community policing moderate the relationship between militarization and use of force. -
Force and Motion
Force and motion Science teaching unit Disclaimer The Department for Children, Schools and Families wishes to make it clear that the Department and its agents accept no responsibility for the actual content of any materials suggested as information sources in this publication, whether these are in the form of printed publications or on a website. In these materials icons, logos, software products and websites are used for contextual and practical reasons. Their use should not be interpreted as an endorsement of particular companies or their products. The websites referred to in these materials existed at the time of going to print. Please check all website references carefully to see if they have changed and substitute other references where appropriate. Force and motion First published in 2008 Ref: 00094-2008DVD-EN The National Strategies | Secondary 1 Force and motion Contents Force and motion 3 Lift-off activity: Remember forces? 7 Lesson 1: Identifying and representing forces 12 Lesson 2: Representing motion – distance/time/speed 18 Lesson 3: Representing motion – speed and acceleration 27 Lesson 4: Linking force and motion 49 Lesson 5: Investigating motion 66 © Crown copyright 2008 00094-2008DVD-EN The National Strategies | Secondary 3 Force and motion Force and motion Background This teaching sequence bridges from Key Stage 3 to Key Stage 4. It links to the Secondary National Strategy Framework for science yearly learning objectives and provides coverage of parts of the QCA Programme of Study for science. The overall aim of the sequence is for pupils to review and refine their ideas about forces from Key Stage 3, to develop a meaningful understanding of ways of representing motion (graphically and through calculation) and to make the links between different kinds of motion and forces acting. -
Newtonian Mechanics Is Most Straightforward in Its Formulation and Is Based on Newton’S Second Law
CLASSICAL MECHANICS D. A. Garanin September 30, 2015 1 Introduction Mechanics is part of physics studying motion of material bodies or conditions of their equilibrium. The latter is the subject of statics that is important in engineering. General properties of motion of bodies regardless of the source of motion (in particular, the role of constraints) belong to kinematics. Finally, motion caused by forces or interactions is the subject of dynamics, the biggest and most important part of mechanics. Concerning systems studied, mechanics can be divided into mechanics of material points, mechanics of rigid bodies, mechanics of elastic bodies, and mechanics of fluids: hydro- and aerodynamics. At the core of each of these areas of mechanics is the equation of motion, Newton's second law. Mechanics of material points is described by ordinary differential equations (ODE). One can distinguish between mechanics of one or few bodies and mechanics of many-body systems. Mechanics of rigid bodies is also described by ordinary differential equations, including positions and velocities of their centers and the angles defining their orientation. Mechanics of elastic bodies and fluids (that is, mechanics of continuum) is more compli- cated and described by partial differential equation. In many cases mechanics of continuum is coupled to thermodynamics, especially in aerodynamics. The subject of this course are systems described by ODE, including particles and rigid bodies. There are two limitations on classical mechanics. First, speeds of the objects should be much smaller than the speed of light, v c, otherwise it becomes relativistic mechanics. Second, the bodies should have a sufficiently large mass and/or kinetic energy. -
Officer's Use of Force: the Investigative Process
Officer’s Use of Force: The Investigative Process John Aldridge Assistant General Counsel North Carolina Sheriffs’ Association Post Office Box 20049 Raleigh, North Carolina 27619 (919) SHERIFF (743-7433) www.ncsheriffs.org September 2018 Contents Introduction ................................................................................................................................. 1 Authority for an SBI Investigation .................................................................................................. 1 Scope and Limitations of Investigations .......................................................................................... 2 How to Initiate an SBI Investigation ............................................................................................... 4 What to Expect During an SBI Use of Force Investigation ................................................................. 5 What are the Potential Civil Liability Issues After a Use of Force Incident? ......................................... 8 Use of the Doctrine of Qualified Immunity .....................................................................................11 Should You Work an Officer Pending an Investigation? ...................................................................12 Conclusion .................................................................................................................................13 NC Sheriffs’ Association Officer’s Use of Force: The Investigative Process September 2018 Introduction Law enforcement officers -
Physical Science Forces and Motion Vocabulary
Physical Science -Forces and Motion Vocabulary 1. scientific method - The way we learn and study the world around us through a process of steps. ( Six Giant Hippos Eat Red & Orange Candy) 2. position – the exact location of an object. 3. direction – the line or course along which something moves. 4. speed – measures how fast an object is moving in a given amount of time. 5. motion – the change in position of an object. 6. constant – remaining steady and unchanged (stays the same.) 7. force – push or pull 8. interaction – the action or influence of people, groups or things on one another. 9. exert – to put forth as strength (exert a force) 10. friction - a force that opposes (goes against) motion. Friction is created when two surfaces rub together. Effects of friction: slowing down or stopping an object, producing heat, or wearing away an object. 11. Newton’s 1 st Law of Motion : an object at rest will stay at rest and an object in motion will stay in motion until a force acts upon it. 12. inertia – the tendency for an object to keep doing what it is doing (resting or moving) 13. mass – the amount of matter (“stuff”) - in an object. 14. weight - the amount of force (pull) that gravity has on an object's mass. Your weight depends on the gravitational pull of your location. 15. gravity – a force that attracts (pulls) all objects to the center of the Earth 16. acceleration – the changes in an object’s motion. This can be speeding up, slowing down or changing direction. -
Supreme Court of the United States
No. _________ ================================================================ In The Supreme Court of the United States --------------------------------- --------------------------------- OFFICER VANCE PLUMHOFF, et al., Petitioners, vs. WHITNE RICKARD, a minor child, individually, and as surviving daughter of Donald Rickard, deceased, by and through her mother Samantha Rickard, as parent and next friend, Respondent. --------------------------------- --------------------------------- On Petition For Writ Of Certiorari To The United States Court Of Appeals For The Sixth Circuit --------------------------------- --------------------------------- PETITION FOR WRIT OF CERTIORARI --------------------------------- --------------------------------- MICHAEL A. MOSLEY PHILIP W. SAVRIN P.O. Box 38 Counsel of Record North Little Rock, AR 72115 JACOB E. DALY (501) 978-6131 FREEMAN MATHIS & GARY, LLP 100 Galleria Parkway Suite 1600 Atlanta, GA 30339 (770) 818-1405 [email protected] ================================================================ COCKLE LAW BRIEF PRINTING CO. (800) 225-6964 OR CALL COLLECT (402) 342-2831 i QUESTIONS PRESENTED In a civil case against police officers for excessive force, a court must grant qualified immunity unless the use of force was prohibited by clearly established law. Here, the Sixth Circuit denied qualified immun- ity for force used in 2004 to end a vehicular pursuit that is similar to the force ruled permissible in Scott v. Harris, 550 U.S. 372 (2007). The Sixth Circuit denied qualified immunity by distinguishing Scott “in the details” from the force used three years earlier in this case. (Pet. App. at 8-9.) The Sixth Circuit applied a similar analysis in Walker v. Davis, 649 F.3d 502 (6th Cir. 2011), where it also distinguished Scott to deny qualified immunity for pre-2007 conduct. As Judge McKeague noted in his extended dissent, the Sixth Circuit stands alone in this analysis. -
Northern Virginia Criminal Justice Training Academy
Northern Virginia Criminal Justice Training Academy 1. Ban on chokeholds- All NVCJA member agencies currently forbid any and all types of chokeholds. To our knowledge, this has been the case for over 20 years. It makes perfect sense to suggest that use of a chokehold by police, when a lesser force option is available, could prevent death or serious injury. In a deadly force situation, an officer is permitted to use any weapon or technique, including a gun, a brick, a chokehold, or any other option to stop the threat to life presented by the perpetrator. Whether an officer is trained to use a chokehold technique is irrelevant when involved in a deadly force situation. Bottom line, when deadly force is justified by an officer, it does not matter what force is used or what type of weapon is used. It is the totality of the circumstances that decides reasonableness. Again, having said that, we do not teach any chokehold technique at the Academy. 2. Require de-escalation training- The NVCJA presently provides over 40 hours of classroom training in the areas of Interpersonal Communications, Bias awareness, interaction with specialty groups (Emotionally Disturbed, Autism, Deaf, Handicapped, etc.), community interaction, mitigation, negotiation, and ethics. It is stressed that the most powerful tool officers have is their ability to communicate. The various force options are to be utilized in conjunction with, not in place of, communication skills when the situation dictates the need for force to gain control. Control is obtained in order to allow for facilitation of a long-term remedy.