Pendulum Problem: Calculate Initial Speed of Actor

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SUMMARY

The discussion centers on calculating the initial speed of an actor using principles of energy conservation in a pendulum system. The actor, with a mass of 65.0 kg, is attached to a cable of length R=5.00 m and starts at a height of 1.5 m, swinging down to a speed of 6 m/s at the lowest point. The solution involves applying the kinetic energy (KE) and potential energy (PE) formulas: KE = 0.5mv² and PE = mgh, to find the initial kinetic energy based on the change in potential energy as the actor descends. The approach emphasizes that the pendulum's details are not critical unless further questions arise.

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Homework Statement [/b]
An actor of mass 65.0 kg wishes to make a grand entrance onto a stage during a play. He attaches himself to a cable having length R=5.00 m. A stagehand gives the actor a push, imparting an initial speed onto the actor at heigh 1.5 m above the lowpoint of his ensuing motion. As the actor swings through the lowest point of his motion, his speed is 6 m/s. Length R remains Constant. What is the initial speed of the actor?




The attempt at a solution[/b]
I think I have literally tried everything. I attempted to find theta between the two points and, if done correctly, got that to be 25.8 degrees. I then tried finding arc length, which came out to a crazy number. Then I tried using angular acceleration equations. THEN I tried calculating it using K+U(initial)=K+U(final), but I ran into troubles there when it came to "y".
 
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Look at the problem from an energy conservation standpoint. You have an unknown initial KE. You have a known final KE. You can determine the change in PE.
 
You can tackle this by considering PE and KE. When the actor is pushed he is given some KE and he also has some PE relative to the lowest point (1.5m) of his swing
KE = 0.5mv^2 PE = mgh
At the lowest point he has KE
The details about the pendulum seem to be irrelevant unless you have been asked something else
 

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