Simple Harmonic Motion Pendulum problem

AI Thread Summary
The discussion revolves around calculating the maximum speed of a simple pendulum with a length of 30.0 cm, released from a 10-degree angle. The key equations involved include the maximum speed formula v = ωA and the period T = 2π√(L/g). Participants clarify that the amplitude A should be determined by the vertical displacement from the equilibrium position, calculated as 0.3 - 0.3cos(10). There is confusion regarding the correct application of these formulas, particularly in defining amplitude. The conversation emphasizes the importance of understanding the pendulum's height and displacement to accurately determine maximum speed.
bobbricks
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Homework Statement


A simple pendulum of length =30.0cm is released from rest from an angle of θ=10.0∘ to the vertical.
Assuming that the pendulum undergoes simple harmonic motion, find its maximum speed.

Source: https://isaacphysics.org/questions/accuracy_shm_pendulum_num

Homework Equations


a) v=wA
b) T=2pi*root(L/g) --possibly?

The Attempt at a Solution


A=0.3-0.3cos10
w=2pi/T
so w=root(g/L) by subbing equation a) into b).
g=9.81 and L=0.3.

so v=root(9.81/0.3)*(0.3-0.3cos10)
=0.02606... ms^(-1)

But that isn't the correct answer?
 
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A is the amplitude of oscillation, not the length of the pendulum.
 
Is A=0.3-0.3cos10 ?
 
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bobbricks said:
Is A=0.3-0.3cos10 ?

How did you come up with this number? How far away from the equilibrium is the pendulum when it is at an angle of 10 degrees?
 
Its maximum velocity will be at the lowest point. The total length is 0.3m. Its current vertical height distance from the top is 0.3cos10. So the difference is 0.3-0.3cos10 which is the maximum amplitude..?
 
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