Applied Mechanics and Graphic Statics

1. 'P'is the force acting on a body whose mass is 'm' and acceleration is 'f'. The equation P - mf= 0, is known as

1. Equation of dynamics
2. Equation of dynamic equilibrium
3. Equation of statics
4. None of these

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2. 'U₁' and 'U₂' are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are 'v₁' and 'v₂' wton's law of collision of elasticbodies, the coefficient of restitution (e) is given by

1. e = v₁ - v₂/u₂ - u₁
2. e = u₂ - u₁/v₁ - v₂
3. e = ₂ - v1/u₁ - u₂
4. e = v₁ - v₂/u₂ + u₁Answer: Option C

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3. 'w' rad/sec is the sngular velocity of a crank whose radius is 'r'. If it makes θwith inner dead centre and obliquity of the connecting rod '1' is 'φ' the velocity v of the piston, is given by the equation

1. ω2 (l cos φ + r sin φ tan θ)
2. ω2 (l sin φ + r cos Φ tan θ)
3. ωl sin φ + r cos φ tan θ)
4. ω2 (l sin φ - r cos θ tan )

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4. μ is coefficient of friction. A wheeled vehicle tarveling on a circular level will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

1. μ
2. 2μ
3. 3μ
4. ½μ

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5. A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping?
(i) 1.0 in from the wall
(ii) 1.732 m from the wall
(iii) 1.0 m above the floor
(iv) 1.732 m above the floor
The correct answer is

1. (i) and (iii)
2. (i) and (iv)
3. (ii) and (iii)
4. (ii) and (iv)

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6. A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

1. 10 m/sec
2. 15 m/sec
3. 20 m/sec
4. 25 m/sec

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7. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

1. 400 watts
2. 500 watts
3. 4000 watts
4. None of these

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8. A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is

1. 43556
2. 43526
3. 43558
4. 43528

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9. A ball is dropped from a height of 2.25 m on a smooth floor and rises to a height of 1.00 m after the bounce. The coefficient of restitution between the ball and the floor is

1. 0.33
2. 0.44
3. 0.57
4. 0.67

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10. A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

1. 43525
2. 43526
3. 43709
4. 43716

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