A massless string is wrapped around a uniform solid cylinder of mass 30kg and radius 0.20m. One end of the string is attahed 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 30kg and radius 0.20m. One end of the string is attahed 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 :(a) 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=2rad//sec`