Q.

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

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a

14.29 rads–1

b

17.3 rads–1

c

12.4 rads–1

d

9.82 rads–1

answer is A.

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Detailed Solution

M = 100 gm = 100 x 10-3 = 10-1kg.m =  20gm = 2 × 10–2kgR = 10cm = 10–1m,  v = 5m/sAngular momentum of putty before collistion,L1 = mvR = 2 x 10-2 x 5 x 10-1 = 10-2 kgm2/s from LCAML1 = L2 10-2=10-1×10-122+2×10-2×10-12ω
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