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This problem has been driving me crazy. There is spherical ball of mass M and radius R. It is in a sphererical bowl with radius 10R. What is its frequency if pure rolling motion is assumed?
I figured it out if there is no friction so it slips.
Sum of Torque = I ddz/ddt = Mg10RsinZ
I = 1/2 MR^2 + M(9R)^2
W^2 = MG10R/(163/2MR^2) = (20 G)/(163 R)
I am at a loss in figuring it out if the ball rolls.
I figured it out if there is no friction so it slips.
Sum of Torque = I ddz/ddt = Mg10RsinZ
I = 1/2 MR^2 + M(9R)^2
W^2 = MG10R/(163/2MR^2) = (20 G)/(163 R)
I am at a loss in figuring it out if the ball rolls.