A circular disc rolls down an inclined plane.The ratio of rotational kinetic energy

A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is

Options

(a) 1/2
(b) 1/3
(c) 2/3
(d) 3/4

Correct Answer:

1/3

Explanation:

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  • Kr=Iomega^2
    =1÷2×1÷2MR^2×(V÷R)^2
    r=1÷4MV^2-------(1)
    Ke=1÷2MV^2
    Kt=Kr+Ke
    Kt=1÷4MV^2+1÷2MV^2
    Kt=3÷4MV^2
    Kr÷Kt=1÷3
    =1:3

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