The vertical component of the the tension force FT equals the weight, Mg. The horizontal component equals M V^2/R, the mass times the centripetal acceleration
The angle ϕ is arctan(gR/V^2), the ratio of the vertical and horizontal components.
Estimate the force a person must exert on a string attached to a 0.120 kg ball to make the ball revolve in a circle when the length of the string is 0.600 m. The ball makes 1.20 revolutions per second. Do not ignore the weight of the ball. In particular, find the magnitude of FT, and the angle ϕ it makes with the horizontal. [Hint: Set the horizontal component of FT equal to maR; also, since there is no vertical motion, what can you say about the vertical component of FT?]
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