Body's a ring a solid cylinder and a solid sphere roll down the same inclined plane without slipping they start from rest from some position the radii of the bodies are equal which of the bodies reaches the ground with maximum velocity.
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The velocity of the sphere would be highest.
The total energy of each object is the sum of the PE, the linear KE and the rotational KE: =ℎ+1/2^2+1/2^2
where I would be the moment of inertia and w would be the angular acceleration of the body
The I of a uniform solid sphere and radius is 2/5^2. The I of a uniform solid cylinder of mass and radius is 1/2^2.
The no slip condition means that = so the total energy simplifies to =ℎ+7/10^2 for the sphere and =ℎ+3/4^2 for the cylinder.
This means, because they always have the same total energy, for each height ℎ the sphere's velocity has to be higher. Therefore, the sphere always reaches the bottom first.
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