Basic Maths and Units and DimensionsHard

Question

A solid ball of mass m and radius r rolls without slipping along the track shown in the figure. The radius of the circular part of the track is R. The ball starts rolling down the track from rest from a height of 8R from the ground level. When the ball reaches the point P then its velocity will be:-
    

Options

A.
B.
C.
D.

Solution

Difference in P.E. at points A & P will be equal to gain in K.E. at point P.
mg(8R) - mgR = mv2
[∵ For solid ball ]
mg (7R) = mv2 ×
⇒ v =

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