Finding magnitude of maximum angle theta for oscillation

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Homework Help Overview

The problem involves determining the maximum angle of oscillation for a pendulum given its initial conditions, including angular velocities and frequency. The subject area relates to oscillatory motion and energy conservation principles in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss using energy equations and trigonometric relationships to find the maximum angle. There are attempts to clarify the meaning of angular frequency and the conditions at which the pendulum's velocity is measured.

Discussion Status

The discussion is ongoing, with participants expressing uncertainty about the equations and concepts involved. Some guidance has been offered regarding potential approaches, but there is no clear consensus on the correct method or interpretation of the variables.

Contextual Notes

Participants mention constraints such as the algebra-based nature of the class and express confusion over the definitions of angular velocity and oscillation parameters. There is also a reference to the appropriateness of using calculus in the context of the problem.

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Homework Statement



Suppose at t=0, theta=0 degrees a pendulum swings to the left with angular velocity wo=47.5 rad/s. Find the magnitude of the maximum angle theta for the oscillation. Given w=60.7 rad/s, and wo=47.5 rad/s, where w is angular frequency of the small oscillation. Answer in units of rad.


Homework Equations


v=-wA
w= sqrt(g/r)

The Attempt at a Solution



I have NO idea! Someone please help, I don't even know if my equations are right...any info would be nice. Thanks
 
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may be solved using energy equations (if you don't want to use calculus, sounds like a calculus question to me)

So, I guess it's @ the lowest position @ theta=0
and thus if you can find kinetic energy, you would be able to get amplitude
and using trignometry, you will be able to find the maximum angle.
 
The class I am taking is algebra based, but I don't know what approach to use to start the problem. I am not sure what to do. Someone told me to do R= g/w^2 and A= woR/w...so sin theta= A/R and you would get your angle, but that is wrong. Any other thoughts?
 
I really don't have any clue about what is w...

I am guessing that wo is the angular velocity when the pendulum is @ the bottom.., and it is 47.5..

Can you please clarify over w and what do you mean by "small oscillation"?
 
Last edited:

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