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  • A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the r

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is:

 

Option: 1

\frac{2\text{g}}{3\text{L}}


Option: 2

\frac{3\text{g}}{2\text{L}}


Option: 3

g/L


Option: 4

2g/L


Answers (1)

best_answer

As learnt in

 

Torque on rod= Moment of weight of the rod about P.

T=mg\frac{L}{2}\:\:\:\:\:\:\:\:- (1)

Moment of inertia of rod about P is \frac{ML^{2}}{3}

T= I \alpha \:\:\:\:\:\:\:\:\:\:\:\:-(2)

Mg\:\frac{L}{2}= \frac{ML^{2}}{3}\alpha

\alpha= \frac{3g}{2L}

 

Posted by

Sayak

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