A rope of negligible mass is wound round a hollow cylinder of mass 5 kg and radius 0.40m. What is the linear acceleration of the cylinder if the rope is pulled with a force of 30N ?

A rope of negligible mass is wound round a hollow cylinder of mass 5 k

1.	A rope of negligible mass is wound round a hollow cylinder of mass 5 kg and radius 0.40m. What is the linear acceleration of the cylinder if the rope is pulled with a force of 30N ?
Answer» SOLUTION : `tau=Iprop=FR` where `\|=MR^2=3xx0.4^2=0.48kgm^2` `tau=30xx0.4=12.0Nm` `prop=tau/I=`(12)/(0.48)=25rads^(-2)` `a=rprop` i.e `a=0.4xx25=10.0ms^(-1)`