Find the angular velocity of a merry-go-round
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See the diagram in the attached file.
A small 0.140 kg sphere is suspended by a light string from a vertical post mounted at the edge of a merry-go-round of radius R = 0.440 m.
The equilibrium position of the sphere is shown in the figure, with a = 0.410 m and b = 0.730 m. The axis of rotation is indicated by the dashed line. Calculate the angular velocity of the merry-go-round.
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T*cos(theta)=m*g
T*sin(theta)=m*v^2/r^2
Where T is the tension of the string, theta is ...
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