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mcovalt
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Pretty simple. Does anyone know the equation of the acceleration of a pendulum as a function of time?
Acceleration of a pendulum as a function of time
- Thread starter mcovalt
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- Acceleration Function Pendulum Time
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The acceleration of a pendulum can be described using the equations of simple harmonic motion (SHM). The acceleration is proportional to the negative displacement from the equilibrium position. The formula for acceleration in SHM is a(t) = -ω²x(t), where ω is the angular frequency and x(t) is the displacement as a function of time. Understanding these relationships allows for the calculation of acceleration at any point in the pendulum's swing. Accurate modeling of pendulum motion relies on these fundamental SHM equations.
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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