A solid cylinder of mass m and radius R is kept at rest on a plank of mass 2m lying on a smooth horizontal surface. Massless and inextensible string connecting cylinder to the plank is passing over a

Question

A solid cylinder of mass m and radius R is kept at rest on a plank of mass 2m lying on a smooth horizontal surface. Massless and inextensible string connecting cylinder to the plank is passing over a massless pulley. The friction between the cylinder and the plank is sufficient to prevent slipping. Pulley A is pulled with a constant horizontal force F. Acceleration of cylinder with respect to earth is

TestHub · Accepted Answer

2 F ​ − f = m a c m ​ … (i) fR = 2 1 ​ mR 2 α .....(ii) 2 F ​ + f = 2 ma . … ( iii ) For pure rolling a cm ​ − R α = a On solving f = 14 F ​ , a c m ​ = 7 m 3 F ​ , a = 7 m 2 F ​

Physics - Rotation Question with Solution | TestHub

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