A cylinder of mass 5kg and radius 30cm, free to rotate about its axis, receives an angular impulse of 3kg ms^(-1) initially followed by a similar impulse after every 4s. What is the angular speed of the cylinder 30s after the initial impulse if the cylinder is at rest initially ?

A cylinder of mass 5kg and radius 30cm, free to rotate about its axis,

1.	A cylinder of mass 5kg and radius 30cm, free to rotate about its axis, receives an angular impulse of 3kg ms^(-1) initially followed by a similar impulse after every 4s. What is the angular speed of the cylinder 30s after the initial impulse if the cylinder is at rest initially ?
Answer» Solution :In `30S` the cylinder RECEIVES 8 angular impulses including the intial impulse `sumtauxxt=I(omega_(2)-omega_(1))` `8xx3=(MR^(2))/(2)omega_(2)`(since `omega_(1)=0`) `8xx3=(5xx(0.3)^(2))/(2)OMEGA^(2)` On solving `omega_(2)=106.7rads^(-1)`