Finding angle of cable when pendulum is at its highest point

AI Thread Summary
To find the angle of the cable when the pendulum is at its highest point, it's essential to correctly identify the forces acting on the pendulum. The height is crucial for determining the angle, and using the formula Δx = radius times Δθ may be appropriate once the height is established. Kinematic equations could also be considered, depending on the context of the problem. A helpful approach involves drawing the pendulum's string and bob, labeling the length, and applying basic trigonometry to find the angle. Proper visualization and understanding of the forces will aid in solving the problem effectively.
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Homework Statement



Please see attached photo. It is problem 54.
My difficulty is that I am not sure if I marked out the correct forces in the work-force equation. Without the height, I can't find the angle. I was going to use the formula: Δx=radius (times) Δθ
However, I'm not even sure this is the right equation to use once I find the height. Should I use kinematic equations instead?

Homework Equations



Attached photo listing useful information for solving equation.

The Attempt at a Solution



Attached photo, written on notebook paper.

Thanks for your help!
 

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Draw a vertical line which and label it as the length of your pendulum string, and then draw the bob at the angle θ and then just draw a horizontal line through the bob when at the angle θ.

You can use simple trigs to obtain the angle.
 
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