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the rod is hinged at one end and hung at other end by the string to ceiling then find force due to hinge when we cut the string. the correct answer is Mg/4. Provide solution plz

the rod is hinged at one end and hung at other end by the string to ceiling then find force due to hinge when we cut the string. 
the correct answer is Mg/4. Provide solution plz

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Grade:11

1 Answers

Pj747
15 Points
6 years ago
The rod rotates about the pivot. So write torque due to gravity, giving you value of angular acceleration (3g/2l). Now, the forces acting on rod are reaction due to hinge and gravitational force. The net acceleration of centre of mass will be l/2 * angular acceleration. Set this equal to net force (Mg - N) and you get Mg/4 as value of N.

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