Applied Mechanics problems
- 1. Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation
Options- A. is directly proportional to their velocity of approach
- B. is inversely proportional to their velocity of approach
- C. bears a constant ratio to their velocity of approach
- D. is equal to the sum of their velocities of approach. Discuss
Correct Answer: bears a constant ratio to their velocity of approach
- 2. The units of moment of inertia of an area, are
Options- A. kg/m
- B. kg/m2
- C. m4
- D. m3
- E. kg-m2. Discuss
Correct Answer: m4
- 3. Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be
Options- A. zero
- B. 5 m/sec
- C. 10 m/sec
- D. none of these. Discuss
Correct Answer: 10 m/sec
- 4. Equation of motion of a point in a straight line, is
Options- A. v = u + ft
- B. S = ut +
ft2 - C. 2fS = v2 - u2
- D. all the above. Discuss
Correct Answer: all the above.
- 5. The resolved part of the resultant of two forces inclined at an angle ? in a given direction is
Options- A. algebraic sum of the resolved parts of the forces in the direction
- B. arithmetical sum of the resolved parts of the forces in the direction
- C. difference of the forces multiplied by cosine ?°
- D. sum of the forces multiplied by the sine ?
- E. sum of the forces multiplied by the tangent ?°. Discuss
Correct Answer: algebraic sum of the resolved parts of the forces in the direction
- 6. The shape of a suspended cable under its own weight, is
Options- A. parabolic
- B. circular
- C. catenary
- D. elliptical. Discuss
Correct Answer: catenary
- 7. When a body of mass M1 is hanging freely and an other of mass M2 lying on a smooth inclined plane(?) are connected by a light indextensible string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by
Options- A.
- B.
- C.
- D.
Discuss
Correct Answer:
- 8. One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is
Options- A. 17.5 kg
- B. 19.5 kg
- C. 22.5 kg
- D. 25 kg. Discuss
Correct Answer: 22.5 kg
- 9. For a body moving with simple harmonic motion, the number of cycles per second, is known as its
Options- A. oscillation
- B. amplitude
- C. periodic time
- D. beat
- E. frequency. Discuss
Correct Answer: frequency.
- 10. If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is
Options- A. 57°
- B. 58°
- C. 59°
- D. 60°. Discuss
Correct Answer: 58°
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