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Physics -- Circular, Rotational and Simple Harmonic Motions
11.
A man stands at one end of a boat which is stationary in water. Neglect water resistance. The man now moves to the other end of the boat and again becomes stationary. The centre of mass of the ‘man plus boat’ system will remain stationary with respect to water
- A.in all cases
- B.only if the man moves without acceleration on the boat
- C.only if the man moves without acceleration on the boat
- D.only if the man and the boat have equal masses
- Answer
- Report
Answer : [A]
12.
A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will
move along a parabolic path
- A.in all cases
- B.only if the stick is uniform
- C.only if the stick has linear motion but no rotational motion
- D.only if the stick has a shape such that its centre of mass is located at some point on it and not outside it
- Answer
- Report
Answer : [A]
13.
A man hangs from a rope attached to a hot-air balloon. The mass
of the man is greater than the mass of the balloon and its
contents. The system is stationary in air. If the man now climbs
up to the balloon using the rope, the centre of mass of the ‘man
plus balloon’ system will
- A.remain stationary
- B.move up
- C.move down
- D.first move up and then return to its initial position
- Answer
- Report
Answer : [A]
14.
There are some passengers inside a stationary railway compartment. The centre of mass of the compartment itself
(without the passengers) is C1, while the centre of mass of the ‘compartment plus passengers’ system is C2. If the passengers
move about inside the compartment,
- A.both C1 and C2 will move with respect to the ground
- B.neither C1 nor C2 will move with respect to the ground
- C.C1 will move but C2 will be stationary with respect to the ground
- D.C2 will move but C1 will be stationary with respect to the ground
- Answer
- Report
Answer : [C]
15.
For a system to be in equilibrium, the torques acting on it must
balance. This is true only if the torques are taken about
- A.the centre of the system
- B.the centre of mass of the system
- C.any point on the system
- D.any point on the system or outside it
- Answer
- Report
Answer : [D]
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