A circular platform is mounted on a frictionless vertical axle. Its radius R = 2m and its moment of inertia about the axle is 200 kgm 2 . it is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1ms –1 relative to the ground. Time taken by the man to complete one revolution is :
A
π s
B
C
2 π s
D
Text Solution
Verified by ExpertsThe correct answer is:
C
using angular momentum conservation
L i = 0
L t = mvR – Ιω
mvR = Ι.ω
ω = 
(v + ω R)t = 2 π R
t = 2 π sec.
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