Rotational Motion MCQ. We covered all the Rotational Motion MCQ in this post for free so that you can practice well for the exam.
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MCQ on Rotational Motion for Students
If a particle is confined to rotate in a circular path with decreasing linear speed, then which of the following is correct?
(a) L (angular momentum) is conserved about the centre
(b) only the direction of angular momentum L is conserved
(c) It spirals towards the centre
(d) its acceleration is towards the centre.
Option b – only direction of angular momentum L is conserved
Two particles A and B, initially at rest, move towards each other under a mutual force of attraction. At the instant when the speed of A is v and the speed of B is 2 v, the speed of the centre of mass is
(a) zero
(b) v
(c) 1.5 v
(d) 3 v
Option a – zero
A ball balanced on a vertical rod is an example of
(a) stable equilibrium
(b) unstable equilibrium
(c) neutral equilibrium
(d) perfect equilibrium
Option b – unstable equilibrium
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 then
(a) both C1 and C2 will move with respect to the ground
(b) neither C₁ nor C2 will be stationary 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
Option c – C₁ will move but C2 will be stationary with respect to the ground
Let I1 and I2 be the moments of inertia of two bodies of identical geometrical shapes, the first made of aluminium and the second of iron. Then
(a) I₁ > I₂
(b) I₁ = I₂
(c) I₁ < I₂
(d) relation between I1 and I2 depends on the actual shapes of the bodies
Option c – I₁
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 the 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
Option a – remain stationary
A mass m is moving with a constant velocity along a line parallel to the x-axis, away from the origin. Its angular momentum with respect to the origin
(a) is zero
(b) remains constant
(c) goes on increasing
(d) goes on decreasing.
Option b – remains constant
A raw egg and a hard-boiled made are made to spin on a table with the same angular momentum about the same axis. The ratio of the time taken by the two to stop is
(a) = 1
(b) <1
(c) >1
(d) None of these
Option b –
A composite disc is to be made using equal masses of aluminium and iron so that it has as high a moment of inertia as possible. This is possible when
(a) the surfaces of the disc are made of iron with aluminium inside
(b) the whole of the aluminium is kept in the core and the iron at the outer rim of the disc
(c) the whole of the iron is kept in the core and the aluminium at the outer rim of the disc
(d) the whole disc is made with thin alternate sheets of iron and aluminium
Option b – the whole of the aluminium is kept in the core and the iron at the outer rim of the disc
A solid cylinder and a hollow cylinder both of the same mass and the same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?
(a) Solid cylinder
(b) Both together
(c) One with a higher density
(d) Hollow cylinder
Option a – Solid cylinder
A man stands at one end of a boat which is stationary in the 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 when the man is stationary initially and finally
(c) only if the man moves without acceleration on the boat
(d) only if the man and the boat have equal masses
Option a – in all cases
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