Sphere on Incline Homework: Solve Torque Equation

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SUMMARY

The discussion focuses on solving the torque equation for a sphere on an incline, specifically addressing the equation Torque = Fr. Participants attempted to derive the equation Mgsin(theta) - Mg cos(theta)miu = Ma but encountered difficulties. Key concepts discussed include the distinction between slipping and rolling without slipping, which relates linear velocity (v) to angular velocity (ω). The conversation emphasizes the need for clear linear and angular equations to solve the problem effectively.

PREREQUISITES
  • Understanding of torque and its equation (Torque = Fr)
  • Familiarity with the concepts of linear and angular motion
  • Knowledge of friction and its role in motion (miu)
  • Basic trigonometry related to angles (theta)
NEXT STEPS
  • Study the relationship between linear velocity and angular velocity in rolling motion
  • Learn how to derive and apply the equations of motion for rotating bodies
  • Explore the implications of friction in rotational dynamics
  • Review examples of torque calculations in different physical scenarios
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to torque and motion on inclines.

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Homework Statement



http://i.imgur.com/jL3T9.png
jL3T9.png


Homework Equations



Torque = Fr


The Attempt at a Solution



1)I write an equation which is Mgsin(theta) - Mg cos(theta)miu = Ma
Didn't work

2)Sorry,but I don't understand what slipping means?
 
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TBBTs said:
1)I write an equation which is Mgsin(theta) - Mg cos(theta)miu = Ma
Didn't work

It's no good guessing. :redface:

Write out the linear and angular equations from which you can find the answer …

what are they? :smile:​
2)Sorry,but I don't understand what slipping means?

"Without slipping" means rolling …

so what relation does that give you between v and ω ? :wink:​
 

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