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,
)
Text Solution
Verified by ExpertsB
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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