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A solid cylinder is released from rest. If string does not slip relative to cylinder then find relative acceleration of A w.r.t B just after it is released. [ans :2 root2g/3]

Answer»

re is ANSWER !!!I HOPE you help !!!DEAR Student ,Here in this case ,let the radius of the cylinder is r and tension be T .the MOMENT of inertia of RIGID cylinder is   I = ½ mr²   Torque = T r   Again , torque = Iα   So, T r = Iar⇒T = 12mr2ar2  ⇒T = 12maNow from the conservation of energy we can write that ,∆E=0⇒mgh−12mv2−12Iω2=0⇒mgh−12mv2−12(12mr2)(vr)2=0⇒gh−12v2−14v2=0⇒gh=34v2⇒v=4gh3‾‾‾‾√Regards



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