A) \[\frac{vR}{R\sin \alpha -r}\]
B) \[\frac{vR}{R\sin \alpha +r}\]
C) \[\frac{2vR}{R\sin \alpha +r}\]
D) \[\frac{v}{R\sin \alpha +r}\]
Correct Answer: A
Solution :
[a] When the thread is pulled, the bobbin rolls to the right. Resultant velocity of point B along the thread is\[v={{v}_{0}}\sin \alpha -\omega r\], where\[{{v}_{0}}\sin \alpha \] is the component of translational velocity along the thread and \[\omega r\]linear velocity due to rotation. As the bobbin rolls without slipping, \[{{v}_{0}}=\omega R\]. Solving the obtained equations, we get\[{{v}_{0}}=\frac{vR}{R\,\sin \,\alpha -r}\]You need to login to perform this action.
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