Last Updated On [03-11-2023]
A uniform rod 
of mass 2 kg is hinged at one end 
.The rod is kept in the horizontal position by a massless string tied to point
. Find the reaction of the hinge (in N) on end 
of the rod at the instant when string is cut 
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Question ID - 101435 :- A uniform rod of mass 2 kg is hinged at one end .The rod is kept in the horizontal position by a massless string tied to point . Find the reaction of the hinge (in N) on end of the rod at the instant when string is cut
A uniform rod of mass 2 kg is hinged at one end .The rod is kept in the horizontal position by a massless string tied to point . Find the reaction of the hinge (in N) on end of the rod at the instant when string is cut
(5)
When the string is cut, the weight of the rod constitutes torque about the hinge, so
(i)
According to Newton's second law,
(ii)
Where 
is the angular acceleration of the rod about the end 
. From Eqs. (i) and (ii), we get
Or 
Here 
, therefore
Acceleration of the CM of the rod is
Again by Newton’s second law,
Or 
Next Question :
A point mass is tied to one end of a cord whose other end passes through a vertical hollow tube, caught in one hand. The point mass is being rotated in a horizontal circle of radius 2 m with a speed of 4 m/s. The cord is then pulled down so that the radius of the circle reduces to 1 m. Complete the ratio of kinetic energies under the final and initial states
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