How Does a Hollow Sphere Accelerate Down an Inclined Plane?

AI Thread Summary
A hollow spherical shell rolls down a 38-degree slope, and the problem involves calculating its acceleration, friction force, and the minimum coefficient of friction to prevent slipping. The moment of inertia is crucial for understanding the acceleration due to gravity, but the specific value is not provided. The gravitational force creates torque, which is influenced by the angle of the slope. To solve the problem, it's suggested to write an energy equation for the distance traveled along the slope and determine the torque affecting the rotation. The discussion emphasizes the need to clarify the relationship between torque and the units involved.
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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 coefficent 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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