How to Find Speed and Tension in a Swinging Rock?

AI Thread Summary
To find the speed of a 3.3 kg rock at the lowest point of its swing, energy conservation principles can be applied, converting potential energy at the initial height into kinetic energy at the lowest point. The maximum tension in the string occurs at this lowest point, calculated using the formula T = ma, resulting in a tension of 32.34 N. The rock's trajectory involves a change in angle as it swings, but the string length remains constant. The angle of 25 degrees is relevant for determining the initial height, not for the speed at the lowest point. Understanding these concepts is crucial for solving the problem effectively.
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Maximum Tension and Trajectories?

Homework Statement



A rock of mass 3.3kg is tied to a string of length 1.2m. The rock is held at rest (at an angle of 25 degrees) so that the string is initially tight, and then it is released. (A) Find the speed of the rock when it reaches the lowest point of its trajectory. (B) What is the maximum tension in the string?


Homework Equations



T=ma


The Attempt at a Solution



Okay, so the max tension is the amount of tension that can be applied so that the string is taught, therefore T=(3.3)(9.8)=32.34N. However, my question is, if it's held taught, and the string length cannot change, wouldn't the lowest point of the trajectory be the point at which the string is held?
 
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The string length will stay the same and the string will still be taught, but the angle(and therefore the x and y coordinates of the rock) will change after released.
 


But how do I find the speed of the rock at this angle? I'm not sure where to begin, would the angle just be the opposite of 25 degrees?
 
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