You are given four objects. A Solid cylinder, a thin-walled hollow cylinder, a solid sphere, and a hollow sphere. All of them have the same mass ?m, and radius ?R. They are all put on an incline plane of hight ℎh, and angle ?θ. 1a) Derive a formula for the final speed at the bottom of the ramp in terms of ?,?,ℎ,?m,R,h,I, and ?θ. 1b) Which one will get to the bottom first? (Hint: ?I is for Rotational Inertia).

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.