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

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

1.	A cylinder of mass 5 kg and radius 30 cm, free to rotate about its axis, receives an angular impulse of 3kgms^(-1) initially followed by a similar impulse after every 4s. What is the angular speed of the cylinder 30 s after the initial impulse if the cylinder is at rest initially?
Answer» Solution :In 30S the CYLINDER receives 8 angular impulses INCLUDING the initial 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)`.