Applied Mechanics problems
- 1. The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be
Options- A. 30°
- B. 45°
- C. 60°
- D. 75°. Discuss
Correct Answer: 75°.
- 2. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The mechanical advantage of the lifting machine is
Options- A. 15
- B. 18
- C. 20
- D. 26. Discuss
Correct Answer: 20
- 3. In simple harmonic motion, acceleration of a particle is proportional to
Options- A. rate of change of velocity
- B. displacement
- C. velocity
- D. direction
- E. none of these. Discuss
Correct Answer: displacement
- 4. A projectile is fired at an angle ? to the vertical. Its horizontal range will be maximum when ? is
Options- A. 0°
- B. 30°
- C. 45°
- D. 60°
- E. 90°. Discuss
Correct Answer: 45°
- 5. A glass ball is shot to hit a wall from a point on a smooth floor. If the ball returns back to the point of projection in twice the time taken in reaching the wall, the coefficient of restitution between the glass ball and the wall is
Options- A. 0.25
- B. 0.33
- C. 0.40
- D. 0.50
- E. 0.55 Discuss
Correct Answer: 0.50
- 6. If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n where n is
Options- A. 2
- B. 3
- C. 4
- D. 5. Discuss
Correct Answer: 5.
- 7. The phenomenon of collision of two elastic bodies takes place because bodies
Options- A. immediately after collision come momentarily to rest
- B. tend to compress each other till they are compressed maximum possible
- C. attempt to regain its original shape due to their elasticities
- D. all the above. Discuss
Correct Answer: all the above.
- 8. Varigon's theorem of moments states
Options- A. arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point
- B. algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point
- C. arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
- D. algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resulant about that point. Discuss
Correct Answer: algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resulant about that point.
- 9. A weight W is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is ?°, the force introduced in the member, is
Options- A. W sec ?
- B. W cos ?
- C. W sin ?
- D. W cosec ?
- E. W tan ?. Discuss
Correct Answer: W sec ?
- 10. According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centres lie on
Options- A. a point
- B. a straight line
- C. two straight lines
- D. a triangle. Discuss
Correct Answer: a straight line
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