A cylinder of mass 10 kg and radius 20 cm is free to rotate about its axis. It receives an angular impulse of 4 kg m2/s. what is the angular speed of the cylinder if the cylinder is initially at rest?
(a) 20 rad/s (b) 15 rad/s
(c) 10 rad/s (d) 5 rad/s

Question

Saurabh Koranglekar · Answer

Dear student The link below is for a similar question https://www.askiitians.com/forums/Mechanics/a-cylinder-of-mass-5kg-and-radius-30cm-is-free-to_167588.htm Regards

Vikas TU · Answer

It is given that,
mass of cylinder, m = 5kg
radius of cylinder , r = 30cm = 0.3 m
angular impulse , ∆L = 3kgm²/s

here, initial angular speed is
angular speed after 4s =

we know,
angular impulse = change in angular momentum
3 =
Here I is moment of inertia.
3 =1/2 mr²( -0)
6 = 5 × (0.3)² ×
= 40/3 rad/s

now, use
40/3 = 0 + × 4
= 10/3 rad/s

now angular speed after 30 sec = 0 + 10/3 × 30
= 300/3 = 100 rad/s

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A cylinder of mass 10 kg and radius 20 cm is free to rotate about its axis. It receives an angular impulse of 4 kg m2/s. what is the angular speed of the cylinder if the cylinder is initially at rest? (a) 20 rad/s (b) 15 rad/s (c) 10 rad/s (d) 5 rad/s

A cylinder of mass 10 kg and radius 20 cm is free to rotate about its axis. It receives an angular impulse of 4 kg m2/s. what is the angular speed of the cylinder if the cylinder is initially at rest?
(a) 20 rad/s (b) 15 rad/s
(c) 10 rad/s (d) 5 rad/s

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A cylinder of mass 10 kg and radius 20 cm is free to rotate about its axis. It receives an angular impulse of 4 kg m2/s. what is the angular speed of the cylinder if the cylinder is initially at rest? (a) 20 rad/s (b) 15 rad/s (c) 10 rad/s (d) 5 rad/s

A cylinder of mass 10 kg and radius 20 cm is free to rotate about its axis. It receives an angular impulse of 4 kg m2/s. what is the angular speed of the cylinder if the cylinder is initially at rest? (a) 20 rad/s (b) 15 rad/s (c) 10 rad/s (d) 5 rad/s

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A cylinder of mass 10 kg and radius 20 cm is free to rotate about its axis. It receives an angular impulse of 4 kg m2/s. what is the angular speed of the cylinder if the cylinder is initially at rest?
(a) 20 rad/s (b) 15 rad/s
(c) 10 rad/s (d) 5 rad/s