Applied Mechanics problems
- 1. If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is
Options- A. 0.25
- B. 0.50
- C. 0.67
- D. 0.33
- E. 0.75 Discuss
Correct Answer: 0.50
- 2. When a body slides down an inclined surface, the acceleration (f) of the body, is given by
Options- A. f = g
- B. f = g sin ?
- C. f = g cos ?
- D. f = g tan ?. Discuss
Correct Answer: f = g sin ?
- 3. The practical units of work, is
Options- A. erg
- B. joule
- C. Newton
- D. dyne. Discuss
Correct Answer: joule
- 4. The Centre of gravity of a 10 x 15 x 5 cm T section from its bottom, is
Options- A. 7.5 cm
- B. 5.0 cm
- C. 8.75 cm
- D. 7.85 cm
- E. none of above. Discuss
Correct Answer: 8.75 cm
- 5. A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
Options- A. the extreme point of the oscillation
- B. through the mean position
- C. through a point at half amplitude
- D. none of these. Discuss
Correct Answer: through the mean position
- 6. Moment of interia of a squares of side fa about an axis through its centre of gravity, is
Options- A. b3/4
- B. b4/12
- C. b4/3
- D. b4/8
- E. b4/36. Discuss
Correct Answer: b4/12
- 7. The centre of gravity of a homogenous body is the point at which the whole
Options- A. volume of the body is assumed to be concentrated
- B. area of the surface of the body is assumed to be concentrated
- C. weight of the body is assumed to be concentrated
- D. all the above. Discuss
Correct Answer: weight of the body is assumed to be concentrated
- 8. From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The c.g. of the remainder is at a height of
Options- A. 4.5 cm
- B. 5.0 cm
- C. 5.25 cm
- D. 5.5 cm. Discuss
Correct Answer: 5.0 cm
- 9. The velocity of a moving body, is
Options- A. a vector quantity
- B. a scalar quantity
- C. a constant quantity
- D. none of these. Discuss
Correct Answer: a vector quantity
- 10. Pick up the correct statement from the following :
Options- A. If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities.
- B. If a sphere impinges directly on an equal sphere which is at rest, then a fraction
(1 - e2) the original kinetic energy is lost by the impact. - C. If a smooth sphere impinges on another sphere, which is at rest, the latter will move along the line of centres.
- D. If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles.
- E. All the above. Discuss
Correct Answer: All the above.
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