Physics System of Particles Rotational Motion All Topic Question for Revision Test MCQ (Single Correct)

A rod of mass 5 kg is connected to the string at point . The span of rod is along horizontal. The other end of the rod is hinged at point . If the string is massless, then the reaction of hinge at the instant when string is cut, is (Take, )

A
10.1 N
B
12.5 N
C
5 N
D
15 N

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Text Solution

Verified by Experts
The correct answer is:
B

When string is cut, the weight of the rod constitutes a torque about the hinge point .

So, … (i)

Also, from Newton's law, … ..(ii)
where, angular acceleration of the rod and

moment of inertia of rod.
From Eqs. (i) and (ii), we get

Now, acceleration of center of mass of rod,

Here, distance between hinge point and centre of the rod.

where, reaction at .

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