Posted by bec on Sunday, November 6, 2011 at 9:54pm.
The bob rises to the same height on the opposite sde.
MgL(1 - costheta) + (1/2) M V^2
= M g L[1 -cos(thetamax)]
M cancels out.
At the bottom of the swing,
theta = 0 and
V^2 = 2 g L [1-cos(thetamax)] = Vmax^2
For half the velocity at bottom,
1 - cos(theta)max must be reduced by a factor of 4. Theta becomes 28 degrees.
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