A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of 2 N on the ring and rolls it without slipping with an acceleration of 0.3 m//s^(2). The coeffecient of friction between the ground and the ring is large enough that rolling always occur and the coefficient of friction between the stick and the ring

A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as

1.	A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of 2 N on the ring and rolls it without slipping with an acceleration of 0.3 m//s^(2). The coeffecient of friction between the ground and the ring is large enough that rolling always occur and the coefficient of friction between the stick and the ring
Answer» 0.4 0.8 0.2 0.5 Solution : As `2-f_(1)=Ma` `f_(1)=2-Ma = 2-2 XX 0.3 = 1.4 N` Taking TORQUE about C `f_(1)R-f_(2)R=I_(C)alpha` `(f_(1)-f_(2))R= MR^(2) a/R``(therefore alpha=a/R)` `f_(1)-f_(2)=Ma` `f_(2)= f_(1) = Ma=1.4 -2 xx 0.3 = 0.8 N` `f_(2) = 2MU` `mu=0.8/2 = 0.4`