InterviewSolution
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InterviewSolution
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A uniform solid. cylinder `A` of mass can freely rotate about a horizontal axis fixed to a mount of mass `m_(2)`. A constant horizontal force `F` is applied to the end `K` of a light thread tightly wound on the cylinder. The friction between the mount and the supporting horizontal plane is assumed to be absent. Find the acceleration of the point `K`. |
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Answer» The acceleration whole system `a_(1)=F/(m_(1)+m_(2))` The acceleration of the point `K` w.r.t the axis of the cylinder `a_(2)=alphaR` where `alpha` is given by `FR=Ialpha` or `alpha=(FR)/(m_(1)R^(2)//2)=(2F)/(m_(1)R)` `implies a_(2)=(2F)/m_(1)` The acceleration of the point `K` w.r.t ground `=a_(1)+a_(2)=F/(m_(1)+m_(2))+(2F)/m_(1)=F((3m_(1)+2m_(2)))/(m_(1)(m_(1)+m_(2)))` |
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