How Does a Hollow Sphere Accelerate Down an Inclined Plane?

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Homework Help Overview

The discussion revolves around a hollow spherical shell rolling down a 38-degree incline. Participants are exploring the dynamics of the motion, including acceleration, friction forces, and the coefficient of friction necessary to prevent slipping.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin solving the problem, particularly regarding the moment of inertia. Some participants discuss the role of torque and friction in the motion, while others question the validity of the torque calculation based on unit consistency.

Discussion Status

Participants are actively engaging with the problem, offering hints and prompting further exploration of energy equations and torque. There is no explicit consensus yet, but the discussion is generating productive lines of inquiry.

Contextual Notes

The original poster notes a lack of information regarding the moment of inertia, which is critical for solving the problem. Additionally, there is an emphasis on the need for hints rather than complete solutions, aligning with homework guidelines.

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Homework Statement



A hollow sphereical shell rolls without slipping down a 38 degree slope, mass 2kg, find the acceleration the friction force and the minimum coefficient of friction needed to prevent slipping

Homework Equations



mgh, E=1/2mv^2=1/2Iw^2

The Attempt at a Solution



i don't really know where to start, i know moment of inertia will affect how fast this will accelerate due to gravity but I am not given it so i don't know to solve it, hints would be great please!
 
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the gravity provides the ball with a torque which is mg*cos(38)
when the friction is big enough to cancel out the turning effect caused by the torque
 
wwj said:
the gravity provides the ball with a torque which is mg*cos(38)
when the friction is big enough to cancel out the turning effect caused by the torque

How can this be a torque when the units are wrong?
 
Time for some hints. First of all write an equation energy of the object when it has moved an arbitrary distance (D) along the slope.

Next, determine the torque that causes the ball to rotate.

Think about whether acceleration will be a constant. Based on your decision, more equations of motion might come to mind.
 

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