Find angle to the rods vertical

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To determine how high the rod swings after being kicked, conservation of energy principles should be applied. The initial kinetic energy from the kick can be converted into potential energy at the highest point of the swing. The mass of the rod, its length, and the initial speed are crucial for calculating the angle with the vertical. By equating kinetic and potential energy, the angle can be derived mathematically. The discussion emphasizes the importance of energy conservation in solving the problem.
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Homework Statement


A rod of mass 4.5 kg and length 1.2 m hangs from a hinge as shown in the figure below. The end of the rod is then given a "kick" so that it is moving at a speed of 5 m/s. How high will the rod swing? Express your answer in terms of the angle the rod makes with the vertical.



Homework Equations





The Attempt at a Solution

 
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Hi dorian_stokes! :smile:

Hint: use conservation of energy. :wink:
 

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Thread 'A cylinder connected to a hanging mass'

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