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A 66 g ball is fastened to one end of a string 55 cm long and the other end is held fixed at point O so that the string makes an angle of 31◦ with the vertical, as in the figure. This angle remains constant as the ball rotates in a horizontal circle. The angle θ would remain constant only for a particular speed

A 66 g ball is fastened to one end of a string 55 cm long and the other end is held fixed at point O so that the string makes an angle of 31◦ with the vertical, as in the figure. This angle remains constant as the ball rotates in a horizontal circle. The angle θ would remain constant only for a particular speed

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 66 g ball is fastened to one end of a string 55 cm long and the other end is held fixed at point O so that the string makes an angle of 31◦ with the vertical, as in the figure. This angle remains constant as the ball rotates in a horizontal circle. The angle θ would remain constant only for a particular speed of the ball in its circular path.

 

 

Find this speed v. Answer in units of m/s.

The image depicts a pendulum system. Key elements are: - A pendulum bob of 66 grams is suspended by a string or rod. - The pendulum swings at an angle of 31° from the vertical axis. - The length of the pendulum from the pivot point to the center of the bob is 55 cm. - The pendulum bob travels in a circular path with radius \( r \). - The gravitational acceleration acting on the pendulum is \( 9.8 \, \text{m/s}^2 \), directed downwards. - The tangential velocity of the bob is represented by \( v \). This diagram helps illustrate basic concepts of pendulum motion, such as the relationship between angular displacement, gravity, and velocity.
Transcribed Image Text:The image depicts a pendulum system. Key elements are: - A pendulum bob of 66 grams is suspended by a string or rod. - The pendulum swings at an angle of 31° from the vertical axis. - The length of the pendulum from the pivot point to the center of the bob is 55 cm. - The pendulum bob travels in a circular path with radius \( r \). - The gravitational acceleration acting on the pendulum is \( 9.8 \, \text{m/s}^2 \), directed downwards. - The tangential velocity of the bob is represented by \( v \). This diagram helps illustrate basic concepts of pendulum motion, such as the relationship between angular displacement, gravity, and velocity.
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