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Question

A disc of mass 100 g and radius 10 cm has a projection on its circumference. The mass of projection is negligible. A 20 g bit of putty moving tangential to the disc with a velocity of 5 m s−1 strikes the projection and sticks to it. The angular velocity of disc is

A
14.29 rad s1
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B
17.3 rad s_1
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C
12.4 rad s_1
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D
9.82 rad s1
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Solution

The correct option is A 14.29 rad s1

In this case, the angular momentum of bit of putty about the axis of rotation = angular momentum of system of disc and bit of putty about the axis of rotation.


Let:

M = Mass of puty

m = Mass of disc

MvR=(mR22+MR2)ω

ω=MvR(mR22+MR2)

Putting all the values

ω=14.298 m/s


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