Solving the Velocity of a Mass Moving Through a Loop With Friction

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gniniart
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hey, i have this problem where i need to use both circular motion and the conservation of energy to solve an object moving through a loop. Basically, there is friction considered and there is also a normal force when the object reaches the top of the loop. There are no values in this question, you just have to show steps in how you would find the velocity of the mass as it exits the loop. thx.
 
Well good luck with that.
Did you read the posting guidelines?
 
Free-body diagram of a mass on the inside of a vertical circular loop, with x and y axes, angle theta, normal force N, centripetal acceleration a_c, and forces mg, mg cos theta and mg sin theta labelled.


Free-body diagram of a mass at the top of a vertical circular loop, with labels mg and N pointing downward, a centripetal acceleration arrow a_r, and x and y axes.
The body is required to maintain a minimum speed to avoid free fall. The possibility of free fall is most stringent at the highest point of the loop. We, therefore, analyze the motion at the highest point with the help of the free body diagram as shown in the figure.

N+Mg = Mv^2/r