Rotational Motion Test

Result

Rotational Motion Test - 3

Score
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Rank
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TIME Taken - -

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Question 1
1 / -0

A body A of mass M while falling vertically downwards under gravity breaks into two parts. A body B of mass
1/3 M and a body C of mass 2/3 M. The center of mass of bodies B and C taken together shifts compared to that of body A towards

A
depends on height of breaking

B
does not shift

C
body C

D
body B

Solution

Since there is no horizontal external force is acting on the body
So, acceleration of the center of mass is a_cm = 0
since v_cm = 0
∴ Δx_cm = 0
Question 2
1 / -0

The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillation bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

A
First increase and then decrease to the original value.

B
First decreased then increase to the original value.

C
Remain unchanged.

D
Increase towards a saturation value.

Solution

First CM goes down and then comes to its initial position.
Hence, option A is correct.
Question 3
1 / -0

A monkey of mass 20 kg rides on a 40 kg trolley moving with constant speed of 8 m/s along a horizontal track. If the monkey jumps vertically to grab the overhanging branch of a tree, the speed of the trolley in the horizontal direction after the monkey has jumped off is -

A
8 m/s

B
1 m/s

C
4 m/s

D
12 m/s

Solution

Conserving momentum in the horizontal direction.

(40 + 20) kg*8 m/s = 40 * V m/s

where V m/s is the speed of the trolley after the monkey has grabbed the branch.

Hence, V = 12 m/s