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Unformatted text preview: angular speed ω , while the string makes angle θ with the vertical. Give answers in terms of m , g , and . a. Draw the free body diagram for the sphere. b. What is the string’s 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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This note was uploaded on 10/19/2011 for the course PHYSICS 53L taught by Professor Mueller during the Spring '07 term at Duke.
 Spring '07
 Mueller
 Physics

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