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Unformatted text preview: angular speed , while the string makes angle with the vertical. Give answers in terms of m , g , and . a. Draw the free body diagram for the sphere. b. What is the strings tension? [What is the radius of the circle, in terms of and ?] c. What is the angle ? a. Drawing below. b. The radius of the circle is sin , so the radial acceleration is a r = sin 2 . The radial force is T sin , so we have T sin = ma r = m sin 2 , or T = m 2 . c. Since the vertical forces add to zero we have T cos = mg . Using (b) we Fnd cos = g / 2 . [Note that this requires 2 g / .] Physics 53 Summer 2010 2 m g T...
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 Spring '07
 Mueller
 Physics

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