We have an object of mass m sliding along circular surface with radius r. It is
ID: 3160742 • Letter: W
Question
We have an object of mass m sliding along circular surface with radius r. It is moving with a velocity vector v. What is the magnitude and direction of the normal force exerted by the circular surface on the sliding object? Express your answer in terms of m, g, theta, v, r. and/or any other quantities that you think are relevant. If the object experiences a force of kinetic friction between it and the surface, and the coefficient of kinetic friction is mu_k, what is the net tangential acceleration of the object?Explanation / Answer
A) writingbthe centripetal force,
mg sin theta - N = mv^2/r
N = mg sin theta - mv^2/r
And direction is away from the center.
B) net acceleration = (mg cos theta - uk* (mg sin theta - mv^2/r))/m
= (g cos theta - uk* (g sin theta - v^2/r))
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