Solve Simple Pendulum Homework: Max Velocity of Pendulum Bob

AI Thread Summary
To find the maximum velocity of a pendulum bob, it's crucial to understand that this occurs at the equilibrium point when the pendulum is vertical. The period of the pendulum can be calculated using the formula Period = 2*PI*SQRT(Length/g), which relates the length of the pendulum to its period. The restoring force can be expressed as RestoringForce = -Mass*g*sin(theta), allowing for the determination of maximum height and potential energy. From potential energy, kinetic energy can be derived to find the maximum velocity. The discussion emphasizes the importance of using the correct formulas and understanding the dynamics of pendulum motion.
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Homework Statement


A pendulm bob weighing 0.1 kg hangs from a light tread. it has a length of 25 cm and a period is 1 second and the force is 1.1 N. what is the maximum velocity of the pendulum bob?

Homework Equations


F = M * A
V = U + A*T

The Attempt at a Solution


Using these formulas i got the final velocity, but it does not seem right!
 
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Acceleration isn't constant so you can't use F=ma, or v = u + at
When is the velocity at a maximum do you think?
 
Do you have access to internet? Typing in "simple pendulum" will enable you to find these formulae.

Period = 2*PI*SQRT(Length/g)
You shouldn't need this one but beware of units if you use it.

RestoringForce= -Mass*g*sin(theta)
This can get us the maximum angle, and thus the maximum height of the bob, and thus the potential energy, and thus the kinetic energy and thus the maximum velocity.
 
The maximum velocity is at the equlibrium point. i.e when the pendulum is pointing down.
 
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