Hoop Radius for 2.0s Oscillation | SHM Object Time Calculation

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    Oscillation Shm
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Homework Help Overview

The discussion revolves around calculating the radius of a hoop for a specific oscillation period and analyzing an object undergoing simple harmonic motion (SHM) with given parameters. The context includes concepts from mechanics and oscillatory motion.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants raise questions about the moment of inertia of a hoop, the center of gravity, gravitational force, torque, and the relationship between torque and angular acceleration. There are also inquiries about the general equation of motion for SHM and the small angle approximation.

Discussion Status

The discussion includes various attempts to clarify concepts related to the problems posed. Some participants are exploring the foundational equations of SHM and seeking conceptual understanding rather than direct solutions. There is no explicit consensus, but guidance is being offered on how to approach the problems conceptually.

Contextual Notes

Participants express frustration over the complexity of the problems and the need for more detailed guidance. There is a focus on understanding the underlying principles rather than just obtaining answers.

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We want to support a thin hoop by a horizontal nail and have the hoop make one complete small-angle oscillation each 2.0s .

What must the hoop's radius be (in meters) ?


and


An object is undergoing SHM with period 0.260 s and amplitude 5.55 cm. At t=0 the object is instantaneously at rest at x= 5.55 cm.

Calculate the time it takes the object to go from x= 5.55 cm to x= -1.55 cm.



SOMEONE HELP ME
 
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krazy4you said:
We want to support a thin hoop by a horizontal nail and have the hoop make one complete small-angle oscillation each 2.0s .

What must the hoop's radius be (in meters) ?

what's the moment of inertia of a hoop about its center?

what's the moment of inertia of a hoop about its rim? (use parallel axis theorem)

where is the center of gravity of the hoop?

what is the force due to gravity on the hoop?

what is the torque on the hoop?

what is the equation relating torque to angular acceleration?

what is the small angle approximation for the sine function?


SOMEONE HELP ME

your caps lock key is stuck, maybe?
 
For the second question, start with the general equation of motion of an shm. Do you know what that is?
 
in my questions that all they gave you i need like a answer lol and some work i can't figure these two out that's all
 
The equation describing shm is given by y=asin(wt+c), where y is the displacement, w is the angular frequency, t is time and c is the phase difference. Let's start with what you do know about shm. Any thoughts on how to go about this? Not mathematically, just conceptually.
 

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