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 constant tension of 3.0 N. 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 constant tension of 3.0 N. 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 :We know that `tau=Ialpha` F.r `=Ialpha""F.r=(mr^(2))/(2).ALPHA` `alpha=(2F)/(mr)=(2xx3)/(30xx0.2)=1rad//s^(2)` b) `omega_(2)-omega_(1)=alphat :.omega_(2)=alphat` angular SPEED after 2 sec, `omega_(2)=1xx2=2` rad/sec.