Determine its maximum angular displacement

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The discussion focuses on calculating the maximum angular displacement of a simple pendulum with a length of 1.53 m and an initial speed of 1.36 m/s. The period of the pendulum has been determined to be 2.48 seconds. Participants emphasize the need for clarity on the relationship between angular displacement and velocity, particularly at maximum displacement where the velocity is zero. The conversation highlights the importance of showing work to identify where confusion arises in the calculations. Understanding the definitions and formulas related to simple harmonic motion is crucial for solving the problem effectively.
andric_mcneil
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1. Really Stuck here I've got the period but after that like i said I'm stuck

A simple pendulum having a length of 1.53 m and a mass of 6.74 kg is given an initial speed of 1.36 m/s at its equilibrium position. Assume it undergoes simple harmonic motion.
(a) Determine its period.
2.48 s
(b) Determine its maximum angular displacement.
°




Homework Equations



? θ = θmcos(ωt)
?

The Attempt at a Solution



A.I'VE GOT THE PERIOD BUT I CAN'T GET maximum angular displacement
 
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You need to show some work to get help here. I can't know what is confusing you if you don't show me where you are getting stuck. If your stuck at a point before you have done any calculations, then try answering these questions:

How did you find the period?

Can you give me a formula for the displacement/velocity of the pendulum?

Do you know what the problem is asking for when it says, "Maximum angular displacement?"

What is the velocity of the pendulum when it is at maximum angular displacement?
 
Last edited:
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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