Solving Pendulum Problem: Find h & Resultant Angle

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To solve the pendulum problem, the height (h) that the pendulum rises is calculated to be approximately 0.051 meters using the equation 1/2mv² = mgh. The next step involves determining the resultant angle using trigonometric relationships. A suggestion was made to draw a diagram and apply trigonometric functions, leading to the equation h = 7 tan(θ). The challenge remains in finding the actual angle θ from this relationship. The discussion emphasizes the importance of visualizing the problem to facilitate solving for the angle.
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Homework Statement



a 2 kg pendulum of length 7 meters is moving at 1 m/s, calculate how high (h) the pendulum will rise; and the resultant angle.


Homework Equations


1/2mv2 = mgh

cos = Y/L

h = L ( 1- cos )


The Attempt at a Solution



1/2(2)(1)^2 = (2)(9.8) h
1 = 19.6h
1/19.6h
h = .051

just don't know how to go about gettign resultant angle
 
Last edited:
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Have you tried drawing a diagram and writing out a trigonometric relationship using that diagram?
 
yeah i did and got h= 7 tan\theta, how would you find the actual angle that what I am having difficult with.
 

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