A solid sphere of mass $$10$$ kg is placed on a rough surface having coefficient of friction μ $$=$$ $$0.1$$. A constant force F $$=$$ $$7$$ N is applied along a line passing through the center of the sphere as shown in the figure. The value of frictional force on the sphere is

Question

A solid sphere of mass $$10$$ kg is placed on a rough surface having coefficient of friction μ $$=$$ $$0.1$$. A constant force F $$=$$ $$7$$ N is applied along a line passing through the center of the sphere as shown in the figure. The value of frictional force on the sphere is

Infinity Learn · Accepted Answer

Let f the be frictional force towards left for pure rolling.$$a=R$$×α where $$a=F$$−$$fm=7$$−$$f10----(1)$$α$$=$$τ$$I=fRI=fR25mR2=5f2mR$$ Hence, $$7$$−$$f10=5fR20R$$   $$from(1)$$ ⇒$$f=2NLimiting$$ friction $$=$$ $$fL=$$μ$$mg=0.11010=10NSince$$, f

A solid sphere of mass 10 kg is placed on a rough surface having coefficient of friction $μ$ = 0.1. A constant force F = 7 N is applied along a line passing through the center of the sphere as shown in the figure. The value of frictional force on the sphere is

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A solid sphere of mass 10 kg is placed on a rough surface having coefficient of friction μ = 0.1. A constant force F = 7 N is applied along a line passing through the center of the sphere as shown in the figure. The value of frictional force on the sphere is

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A solid sphere of mass 10 kg is placed on a rough surface having coefficient of friction $μ$ = 0.1. A constant force F = 7 N is applied along a line passing through the center of the sphere as shown in the figure. The value of frictional force on the sphere is