A massless string is wrapped around a uniform solid cylinder of mass 30 kg and radius 0.20 m one end of the string is attached to the cylinder and the free end is pulled tangentially by a force that maintains a constants tension of 3.0N find (a)the angular acceleration and (b)the angular speed of the cylinder 2.0 s after the force is applied to the cylinder at rest.

A massless string is wrapped around a uniform solid cylinder of mass 3

1.	A massless string is wrapped around a uniform solid cylinder of mass 30 kg and radius 0.20 m one end of the string is attached to the cylinder and the free end is pulled tangentially by a force that maintains a constants tension of 3.0N find (a)the angular acceleration and (b)the angular speed of the cylinder 2.0 s after the force is applied to the cylinder at rest.
Answer» Solution :MASS =30 KG ,radius r=0.20 m,tension T=3N a) angular acceleration `alpha`,we know that `tau`=lalpha` F.r=`Ialpha,`F.r=(mr^(2))/(2)alpha,alpha=(2F)/(mr)=(2XX3)/(30xx0.2)=1 rad//s^(2)` B) `omega_(2)-omega_(1)=alphat,omega_(1)=0` `omega_(2)=alphat` angular speedafter 2 secl `omega_(2)=1xx2=2` rad/sec/