The particle m in Figure is moving in a vertical circle of radius R inside a track. There is no friction. When m is at its lowest position, its speed is v0. (a) What is the minimum value vm of v0 for which m will go completely around the circle without losing contact with the track? (b) Suppose v0 is 0.775vm. The particle will move up the track to some point at P at which it will lose contact with the track and travel along a path shown roughly by the dashed line. Find the angular position θ of point P. Note to expert: bro please explain how to solve this, write little bit of explaination I don't have a clue about mechanics really struggling.

The particle m in Figure is moving in a vertical circle of radius R inside a track. There is no friction. When m is at its lowest position, its speed is v0. (a) What is the minimum value vm of v0 for which m will go completely around the circle without losing contact with the track? (b) Suppose v0 is 0.775vm. The particle will move up the track to some point at P at which it will lose contact with the track and travel along a path shown roughly by the dashed line. Find the angular position θ of point P. Note to expert: bro please explain how to solve this, write little bit of explaination I don't have a clue about mechanics really struggling.

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Question

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The particle m in Figure is moving in a vertical circle of radius R inside a
track. There is no friction. When m is at its lowest position, its speed is v0.

(a) What is the minimum value vm of v0 for which m will go completely around the circle
without losing contact with the track?

(b) Suppose v0 is 0.775vm. The particle will move up the track to some point at P at which it
will lose contact with the track and travel along a path shown roughly by the dashed line.
Find the angular position θ of point P.

Note to expert: bro please explain how to solve this, write little bit of explaination I don't have a clue about mechanics really struggling.

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