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Physics System of Particles Rotational Motion General MCQ (Single Correct)

Two men support a uniform horizontal beam at its two ends. If one of them suddenly lets go, the force exerted by the beam on the other man will

A
Remain unaffected.
B
Increase.
C
Decrease.
D
Become unequal to the force exerted by him on the beam.

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Text Solution

Verified by Experts
The correct answer is:
C

When the beam is supported at A and B, the force exerted by each man = mg/2.

When the support at B is withdrawn, taking torque about A,

τ τ = (mg) l /2 = I α α = (m l 2 /3) α α

or α α = 3g/2 l .

The instantaneous linear acceleration of the centre of mass is

a CM = ( α α )(AC) = (3g/2 l ) l /2 = 3g/4.

Let N = force exerted on the beam at A.

∴ ∴ mg – N = ma CM = m(3g/4) or N = 1/4 mg.

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