Sphere rolling down a ramp problem

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Homework Help Overview

The problem involves a solid sphere of uniform density rolling down a ramp, with specific parameters such as weight, height, and angle provided. The objective is to determine the speed of the sphere's center of mass at the bottom of the ramp.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conservation of energy approach, with one participant questioning the setup of the energy equation. There is also a mention of confusion regarding the inclusion of extra information in the problem statement.

Discussion Status

The discussion is ongoing, with participants providing feedback on the energy equation used and clarifying the question. Some guidance has been offered regarding the correct form of the conservation of energy equation, but no consensus has been reached on the overall approach.

Contextual Notes

There is a mention of potential confusion caused by additional information in the problem statement, which may affect how participants interpret the setup and approach the solution.

iamtrojan3
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Homework Statement


A solid sphere of uniform density (weight = 3.2 lbs starts from rest and rolls down a ramp (H = 1.57 m, q = 18.3°.)

Find the speed of the sphere's CM when it reaches the bottom of the ramp.

haha sorry bout that...

Homework Equations



see below

The Attempt at a Solution


i dont' know what's wrong with my set up here,
m*g*d*sin(theta) = .5mv^2 + (2/5)(.5)mv^2

any help?

thanks!
 
Last edited:
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It might help if we knew what the question was!
 
Ops... forgot to add the question. silly me >.<
 
Your conservation of energy equation looks wonky. If I'm doing this right, you should have that m*g*h = (0.5)mv2 + (2/5)*(0.5)mv2. You're already given the height of the ramp!
 
i hate when they put extra information in it, you just feel obligated to use it.

yes your right, thanks a lot for the help!
 
You're welcome! :)
 

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