Infinitely Many inclined planes.

A disc of mass 3 kg \SI{3}{\kilo\gram} and radius 7 cm \SI{7}{\centi\meter} is placed at position ( 2 , 1 ) (-2, 1) of the rigid, parabolic path x 2 = 4 y , x^2 = 4y, as shown. It slides down from this point at t = 0 t = 0 and there is enough friction for pure rolling of the disc.

The angular velocity of the disc at ( 0 , 0 ) (0 , 0) is deonted by ω , \omega, and the velocity of the disc at ( 0 , 0 ) (0, 0) by v , v, both in S.I. units.

Find numerical value of ω 10 × v . \omega - 10 \times v.


The answer is 15.33.

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