Consider a disc of mass m and radius R placed on a rough plank of mass M which in turn is placed on a smooth horizontal surface.Now plank is pulled by a force F and disc starts to roll on the plank.if there is no friction anywhere then, find friction force acting on the body(acting on disc)
nitish , 8 Years ago
Grade 12
1 Answers
Rituraj Tiwari
Last Activity: 4 Years ago
f=ma`……..`(i)` For plank `F-f=Ma_(1)`……….`(ii)` Applying torque equation on disc about centre of mass `tau=l alpha` `impliesfR=(mR^(2))/(2)alpha`........`(iii)` For pure rolling `a_(1)=a+Ralpha`.......`(iv)` Solving the four equations, we get `f=(Fm)/(m+3M)`, `alpha=(2F)/((m+3M)R)`
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