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A cylinder of mass 5 kg and radius 30 cm...

A cylinder of mass 5 kg and radius 30 cm, and free to rotate about its axis, receives an angular impulse of 3 kg `m^(2)s^(-1)` initially. Followed by a similar impulse after every 4 s. What is the angular speed of the cylinder 30 s after the initial impulse ? The sylinder is at rest initially.

Text Solution

Verified by Experts

In 30s the cylinder receives 8 angular impulses including the initial impulse
`sum tau xx t=I(omega_(2)-omega_(1))`
`8xx3=(MR^(2))/(2)omega_(2)(sin ce omega_(1)=0)`
`= (5xx(0.3)^(2))/(2)omega_(2)`
On solving `omega_(2)=106.7 rad s^(-1)`.
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