A sphere and a hollow cylinder roll without slipping down two separate inclined planes and travel the same distance at the same time. If the angle of the plane down which the sphere rolls is 30 ° . The angle of the other plane is

Question

A sphere and a hollow cylinder roll without slipping down two separate inclined planes and travel the same distance at the same time. If the angle of the plane down which the sphere rolls is 30 ° . The angle of the other plane is, 60 °, 53 °, 37 °, 45 °

MARKS App · Accepted Answer

For sphere, K 1 2 = 2 5 R 2 , θ 1 = 30 ° , For hollow cylinder, K 2 2 = R 2 , θ 2 = ? 1 + 2 5 sin ⁡ 30 ° = 1 + 1 sin ⁡ θ 2 sin ⁡ θ 2 = 5 7 = 0.7143 θ = 45 °

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