**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

- Equation of dynamics
- Equation of dynamic equilibrium
- Equation of statics
- None of these

Correct answer: (A)

Equation of dynamics

**2. **'U_{1}' and 'U_{2}' are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are 'v_{1}' and 'v_{2}' wton's law of collision of elasticbodies, the coefficient of restitution (e) is given by

- e = v
_{1}- v_{2}/u_{2}- u_{1} - e = u
_{2}- u_{1}/v_{1}- v_{2} - e =
_{2}- v1/u_{1}- u_{2} - e = v
_{1}- v_{2}/u_{2}+ u_{1}Answer: Option C

Correct answer: (C)

e = _{2} - v1/u_{1} - u_{2}

**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

- ω2 (l cos φ + r sin φ tan θ)
- ω2 (l sin φ + r cos Φ tan θ)
- ωl sin φ + r cos φ tan θ)
- ω2 (l sin φ - r cos θ tan )

Correct answer: (C)

ωl sin φ + r cos φ tan θ)

**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

- μ
- 2μ
- 3μ
- ½μ

Correct answer: (B)

2μ

**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

- (i) and (iii)
- (i) and (iv)
- (ii) and (iii)
- (ii) and (iv)

Correct answer: (D)

(ii) and (iv)

**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

- 10 m/sec
- 15 m/sec
- 20 m/sec
- 25 m/sec

Correct answer: (C)

20 m/sec

**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

- 400 watts
- 500 watts
- 4000 watts
- None of these

Correct answer: (A)

400 watts

**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

- 43556
- 43526
- 43558
- 43528

Correct answer: (C)

43558

**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

- 0.33
- 0.44
- 0.57
- 0.67

Correct answer: (D)

0.67

**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

- 43525
- 43526
- 43709
- 43716

Correct answer: (D)

43716