Suppose mu is changed. After releasing the mass m from point A, the mass travels

Question

Suppose mu is changed. After releasing the mass m from point A, the mass travels over the rough portion of the track BC, bounces off the spring, and travels a distance 2.6 m part way back across the rough portion of the track to stop at point F. Under these conditions, what is the value of mu? A 2.97 kg ball is attached a fish line rated to withstand 28.3 N. The ball is released from rest at the horizontal position (theta_0 = 90 degree). At what angle theta (measured from the vertical) will the fish line break? The acceleration of gravity is 9.8 m/s^2. Answer in units of degree.

Explanation / Answer

energy is conserved , in the swing down to the breaking point

mg cos theta = mv^2/r

2 mg cos theta = mv^2/r

at the breaking point , consider radial forces

F_r = m a_r

T- mg cos theta = mv^2/r

T - mg cos theta = 2 mg cos theta

T = 3 mg cos theta

theta = cos^-1 ( T/ 3 mg)

= cos^-1 ( 28.3/3 ( 2.97) (9.8)

=71 degrre

for first question need initial data of the question to know the position of A. please post that question with relvelnt data

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