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Applied Mechanics - 3300008 Unit 1: Introduction 1

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Applied Mechanics - 3300008 Unit 1: Introduction 1 MECHANICAL ENGG. DEPT SEMESTER #2 APPLIED MECHANICS - 3300008 UNIT 1: INTRODUCTION 1. Differentiate: 1) Vector quantity and Scalar quantity 2) Kinetics and Kinematics 2. State SI system unit of following quantities: 1) Density 2) Angle 3) Work 4) Power 5) Force 6) Pressure 7) Velocity 8) Torque 3. Name the type of quantities: 1) Density 2) Time 3) Work 4) Energy 5) Force 6) Mass 7) Velocity 8) Speed UNIT 2: COPLANAR CONCURRENT FORCES 1. Explain principle of super position of forces. 2. Explain principle of transmissibility of forces. 3. State and prove lami’s theorem. State its limitation. 4. Explain polygon law of forces. 5. Classify forces. 6. State and Explain law of parallelogram of forces. 7. State and Explain law of triangle of forces. 8. The system shown in figure-1 is in equilibrium. Find unknown forces P and Q. 9. Find magnitude and direction of resultant force for fig.2 Fig.1 Fig. 2 Fig.3 Fig.4 10. A load of 75 KN is hung by means of a rope attached to a hook in horizontal ceiling. What horizontal force should be applied so that rope makes 60o with the ceiling? Page 1 of 27 MECHANICAL ENGG. DEPT SEMESTER #2 11. The boy in a garden holding two chains in his hand which are Hooked with Horizontal steel bar making an angel 65° & other chain with an angle of 55° With the steel bar, if the weight of boy is 55 kg, than find tension developed in both chain. 12. A circular sphere weighing 500 N and having a radius of 200mm hangs by a string AC 400 mm long as shown in Figure 3. Find reaction offered by the wall and tension in the string. 13. A Body weighing 2000 N is suspended from a vertical wall by a string AB 2m long as shown in fig.4. It is pulled by a horizontal force of 320N. Find tension (T) in the string AB and lateral displacement (x) of the body. UNIT 3: COPLANAR NON-CONCURRENT FORCES 1. Define: 1) Force 2) Couple 3) Moment 2. State conditions of equilibrium of coplanar non-concurrent, non-parallel forces. 3. Explain different types of load and supports of beam. 4. State varignon’s principle of moment. 5. Find the support reactions for a beam shown in figure 1. 6. Find resultant for the system of forces shown in figure 2. Also find couple moment at the centre. 7. Find support reactions for a beam shown in figure 3. 8. Find support reactions for beam shown in fig. 5 9. Find resultant and its direction for forces given in fig.4 10. Find magnitude, direction and position of resultant force for a given system (shown in fig.6) of force acting on body. Fig.1 Fig. 2 Page 2 of 27 MECHANICAL ENGG. DEPT SEMESTER #2 Fig.3 Fig. 4 Fig. 5 Fig. 6 UNIT 4: CENTRE OF GRAVITY 1. Define: 1) Centroid 2) Centre Of Gravity 3) Moment 2. Find centroid for the lamina shown in fig 4. 3. Find center of gravity for the lamina shown in fig 1. 4. Find centroid for the lamina shown in fig 2. 5. Find centroid for the lamina shown in fig 3. 6. Find centroid for the lamina shown in fig 5. 6. Find centroid for the lamina shown in fig 6. Page 3 of 27 MECHANICAL ENGG. DEPT SEMESTER #2 Fig.1 Fig.2 Fig.3 Fig.4 Fig.5 Fig.6 UNIT 5: FRICTION 1. Define friction and state the law of friction. 2. Define: 1) angle of friction 2) Angle of repose 3) Co-efficient of friction 3. Explain types of friction. List advantages and disadvantages of friction. Page 4 of 27 MECHANICAL ENGG. DEPT SEMESTER #2 4. A body of weight 8 KN is lying on a rough inclined plane at an angle of 30o with horizontal. If the angle of friction is 25 o, find the minimum effort parallel to the plane required just to support the body. 5. A ladder weighing 400N is 10m long. Its end ‘A’ is resting on smooth vertical wall and lower end ‘B’ is resting on rough horizontal floor having coefficient of friction is 0.4. The ladder makes an angle 45 o with horizontal. The ladder is about to slip when a man weighing 600N standing at mid length of the ladder. Find reactions at supports A and B and limiting friction at the floor. 6. Find horizontal force required to push a body weighing 20kN up a ramp inclined 30 o with horizontal. Take friction coefficient. = 0.25 7. A block weighing 360N rests on a rough horizontal floor. A force of 120 N inclined at 60o with the floor is just sufficient to move it. Find co efficient of friction between floor and block. UNIT 6: WORK, POWER AND ENERGY 1. Define: 1) Work, 2) Power 3) Energy 4) Potential Energy 5) Kinetic Energy 2. Explain law of conservation of energy. 3. Find out the power required to lift a load of 15000 kg at a height of 20 mm within 10 minute time. 4. A train weighing 600 KN runs at a speed of 36 KMPH. Calculate Kinetic Energy of the train. 5.Water is to be lifted from a ground tank 7.5mt deep in tank 2.5m x 2.5m x1.5m located at 11.5mt high from ground in 45 minutes Calculate the required power of the Pump in watt. 6. A water tank having capacity of 25,000 litres is to be filled up in 30 minutes. The water is to be lifted through a height of 20 metres. Find power of a pump in kW required to fill the tank if pump's efficiency is 75% . 7. A train weighing 2000 kN is pulled on a level track at constant speed of 45 km/hr by an engine. If frictional resistance is 10 N/kN, calculate horse power of the engine. UNIT 7: SIMPLE MACHINES 1. Define: 1) Mechanical Advantage 2) Velocity ratio 3) Input 4) Output 5) Efficiency 6) Ideal machine 2. Explain reversible and non reversible machine. 3. Explain law of machine. 4. A simple machine lifts a load of 50 KN by an effort of 10 KN. If the maximum mechanical advantage is 10. Calculate an effort required to lift a load of 120 KN. 5. Calculate maximum mechanical advantage and maximum efficiency of a machine having law of machine P = 1/20 * W + 135 and V.R. = 25. 6. The following results were obtain on single purchase crab winch having diameter of effort wheel 40cm that of load wheel 12.5cm, no. of teeth on spur wheel is 92 and that on pinion wheel is 20,From the Page 5 of 27 MECHANICAL ENGG. DEPT SEMESTER #2 graph determine the law of machine, maximum efficiency and also find effort required to lift load of 550N. Load in N 250 375 450 650 800 Effort in N 75 125 225 350 425 7. A screw jack had a thread of 12mm pitch. What effort at end of a handle 500mm long will be required to lift a load of 3KN, if the efficiency at this load is 48%. 8. In a lifting machine a load of 20kN is lifted by an effort of 0.8Kn and a load of 40kN is lifted by an effort of 1.20kN. Find law of machine and efficiency at load 40kN & VR=40. 9. In a machine an effort of 1 kN raised a load of 8 kN. The Distance moved by the effort was 20 meters while that moved by the load was 1 metre. Find Mechanical advantage, Velocity ratio and efficiency of the machine. SUBJECT: - 3321901(MD) Unit 3:- Projection of solids 1. A square prism, edge/side of base 30mm and height 45mm, is resting on H.P. on the edges of the base. The edge on which it rests on H.P. makes 45° with V.P. the base of the prism makes 30° with H.P. or the axis of the prism makes 60° with H.P. or rectangular face containing the edge on which it rests on H.P. makes 60° with H.P. Draw the projections of the prism, when (a) base is away form the observer or nearer to V.P. (b) base is nearer to observer or away from V.P. 2. A cone, diameter of base 50mm and height 60mm,is resting on H.P. on a point of its periphery of base with the axis making an angle of 30° with the H.P. and the plan of the axis making 45° with the V.P. Draw the projections of the cone. 3. A cylinder, diameter of base 60mm and height 90mm, is resting on the H.P. on the point of its periphery of the base. The axis of cylinder is inclined to H.P. by 30° and the top view of the axis is inclined at 45° to the V.P. Draw the projections. Keep top end of the cylinder nearer to V.P. Page 6 of 27 MECHANICAL ENGG. DEPT SEMESTER #2 4. A hexagonal pyramid of base of the side 30mm long and altitude 60 mm is resting on one of its base edge on the H.P. This edge makes 30° to the V.P. and the face containing this edge makes 45° to the H.P. Draw the projections. Unit 3:- Section of solids 1. A cone, base 50 mm diameter and 60mm height is resting on H.P.
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