Pendulum Problem with unknown angle

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To find the speed of a pendulum ball at an angle θ, one can use an energy approach. The initial kinetic energy (Ek) is straightforward to calculate, while potential energy (PE) at angle θ can be determined using the formula PE = mgh. The height (h) can be derived from the string length (L) and the angle θ. By equating the initial energy to the energy at angle θ, the speed (v) can be expressed as a function of mass (m), gravitational acceleration (g), string length (L), and angle (θ). Understanding how to calculate potential energy is crucial for solving this problem.
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A pendulum (with string length "L") and aball of mass "m" is pulled back to a horizontal position and then released. Assuming that θ is the angle between the string and the vertical, find the speed of the ball (v) at an angle of θ as a function of m,g,L, and/or θ.


I just can't get my mind around this problem...
 
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Welcome to PF, jg!
I could be horrendous using motion formulas.
Have you considered an energy approach? The initial Ek is easy. Can you find the height when at angle θ and thus the potential energy? From that you can get the Ek at θ and then the speed.
 
Thank You!
Ok, so I guess I am actually having problems with finding the potential energy. I'm completely blanking.
 
PE = mgh
 

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