A ball of mass m is suspended on a light string of length l from the ceiling. The ball is then put into motion such that it rotates in a horizontal circle with a rotation rate of w ( rad/s). Notice that the string makes an angle of with respect to the vertical during this motion. 1) find the tension in the string and the angle. 2) if the ball moved at twice it's first rotation rate, find the new angle the string would make with respect to the vertical. c) find the tension in the string at this new rotation rate. 6) how much faster is the ball speed with this new rotation rate as compared to the oroginal speed? Find a ration of the two speed

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A ball of mass m is suspended on a light string of length l from the ceiling. The ball is then put into motion such that it rotates in a horizontal circle with a rotation rate of w ( rad/s). Notice that the string makes an angle of with respect to the vertical during this motion. 

1) find the tension in the string and the angle. 
2) if the ball moved at twice it's first rotation rate, find the new angle the string would make with respect to the vertical. 
c) find the tension in the string at this new rotation rate. 
6) how much faster is the ball speed with this new rotation rate as compared to the oroginal speed? Find a ration of the two speed. 

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Transcribed Image Text:カ山ニ mg my to y - Fg o a Tension in the 8trins Sing lt, To
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