Solve Simple Pendulum Homework: Max Velocity of Pendulum Bob

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Homework Help Overview

The discussion revolves around a simple pendulum problem, specifically focusing on determining the maximum velocity of the pendulum bob given its mass, length, period, and force. The subject area includes concepts from mechanics and oscillatory motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply basic kinematic equations to find the final velocity but expresses uncertainty about the correctness of their result. Some participants question the appropriateness of using constant acceleration equations in this context, while others suggest considering when the velocity reaches its maximum.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the relationship between potential and kinetic energy, as well as the conditions under which maximum velocity occurs. Multiple interpretations of the problem setup are being examined.

Contextual Notes

Participants have noted the importance of understanding the dynamics of the pendulum, including the effects of varying acceleration and the significance of the equilibrium position. There is an emphasis on ensuring proper unit usage and the relevance of specific formulas in the context of the problem.

Basne_Kaled
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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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