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Q.

A disc rolls on ground without slipping. Velocity of center of mass is v. If the point P lies on the circumference of disc at angle θ as shown in the figure then the speed v p at the point P, when θ=90∘,120∘,180∘

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a

v,2v,3v

b

2v,3v,2v

c

2v,3v,2v

d

3v,v,5v

answer is A.

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Detailed Solution

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velocity of the making an angle of θ with vertical is given by VP=2Vsinθ2

So for the angles 90o, 120o, 180o, Vp will be 2v,3v,2v respectively

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