Two masses m and \[\frac{m}{2}\] are connected at the two ends of a massless rigid rod of length l. The rod is suspended by a thin wire of torsional constant k at the centre of mass of the rod-mass system (see figure). Because of torsional constant k, the restoring torque is \[\tau \,\,=\,\,k\theta \] for angular displacement \[\theta \]. If the rod is rotated by \[{{\theta }_{0}}\] and released, the tension in it when it passes through its mean position will be: [JEE Main 09-Jan-2019 Morning] |
A) \[\frac{2\,k\,{{\theta }_{0}}^{2}}{l}\]
B) \[\frac{k\,{{\theta }_{0}}^{2}}{l}\]
C) \[\frac{3k\,{{\theta }_{0}}^{2}}{l}\]
D) \[\frac{k\,{{\theta }_{0}}^{2}}{2\,l}\]
Correct Answer: B
Solution :
Option is correct. |
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