A solid sphere of mass m and radius r rolls without slipping along the track sho

Question

A solid sphere of mass m and radius r rolls without slipping along the track shown in the figure below. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r. (Consider up and to the right to be the positive directions for y and x, respectively.)

Fx = Fy = A solid sphere of mass m and radius r rolls without slipping along the track shown in the figure below. It starts from rest with the lowest point of the sphere at height h above the bottom of the loop of radius R, much larger than r. (Consider up and to the right to be the positive directions for y and x, respectively.) What is the minimum value of h (in terms of R) such that the sphere completes the loop? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.) What are the force components on the sphere at the point P if h = 3R? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)

Explanation / Answer

No. # a.

let the lowest position of circle namely point A, and any point of circle position namely point B so, according to conserve of energy:

Energy_A = Energy_B

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