A block of mass m slides without friction down a looped track.If the block is to

Question

A block of mass m slides without friction down a looped track.If the block is to remain on the track even at the top of thecircle, whose radius is r, from what minimum height must it bereleased? They don't give any numbers in the problem. I think they just need a formula. A block of mass m slides without friction down a looped track.If the block is to remain on the track even at the top of thecircle, whose radius is r, from what minimum height must it bereleased? They don't give any numbers in the problem. I think they just need a formula.

Explanation / Answer

Ebefore = Eafter if it's to be released from a minimum height and make itaround a looped track of radius r then the top of the track is adistance 2r from the ground. mgh = mg(2r) h = 2r if it's to be released from a minimum height and make itaround a looped track of radius r then the top of the track is adistance 2r from the ground. mgh = mg(2r) h = 2r

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