Solving Pendulum Problem: Find h & Resultant Angle

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SUMMARY

The discussion focuses on solving the pendulum problem involving a 2 kg pendulum of length 7 meters moving at 1 m/s. The height (h) the pendulum will rise is calculated to be approximately 0.051 meters using the equation 1/2mv² = mgh. To find the resultant angle, participants suggest using trigonometric relationships, specifically h = L tan(θ), but the exact angle calculation remains unresolved. The conversation emphasizes the importance of diagramming and applying trigonometric principles to derive 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[tex]\theta[/tex], how would you find the actual angle that what I am having difficult with.
 

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