A 0.50-kg ball that is tied to the end of a 1.4-m light cord is revolved in a horizontal plane, with the cord making a θ = 30° angle with the vertical. An illustration shows a ball suspended from a string. The string forms an angle θ with the vertical as its top end is held stationary in space while the ball moves along a horizontal circular path below. The center of the circular path is shown to be directly below the top end of the string.   (a) Determine the ball's speed. m/s (b) If, instead, the ball is revolved so that its speed is 3.6 m/s, what angle does the cord make with the vertical? (c) If the cord can withstand a maximum tension of 9.2 N, what is the highest speed at which the ball can move? m/s

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 44P: Consider two objects with m1 m2 connected by a light string that passes over a pulley having a...
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A 0.50-kg ball that is tied to the end of a 1.4-m light cord is revolved in a horizontal plane, with the cord making a θ = 30° angle with the vertical.

An illustration shows a ball suspended from a string. The string forms an angle θ with the vertical as its top end is held stationary in space while the ball moves along a horizontal circular path below. The center of the circular path is shown to be directly below the top end of the string.
 
(a) Determine the ball's speed.
m/s

(b) If, instead, the ball is revolved so that its speed is 3.6 m/s, what angle does the cord make with the vertical?


(c) If the cord can withstand a maximum tension of 9.2 N, what is the highest speed at which the ball can move?
m/s
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