Questions
A cotton reel rolls without sliding such that the point P of the string has velocity v = 6 m/s. If r = 10 cm and R = 20 cm then the velocity of its centre C is
a
2.5 m/s
b
5 m/s
c
4 m/s
d
2 m/s
detailed solution
Correct option is C
As cotton reel rolls point of contact of reel with ground will acts as instantaneous axis of rotation.vp = ω(R+r)⇒ω = vpR+r = 20 rad/sVelocity of centre of reelvC = ωR = vpR(R+r) = 6×20(20+10) = 4 m/sTalk to our academic expert!
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