staf9
- 75
- 0
I know this sounds weird, but I studied QM and GR before classical physics, and I'm just lost when it comes to angular momentum problems.
A sphere is moving along a lane. It slides initially then rolls. The initial speed is V_{cm} and initial angular speed \omega. The coefficient of kinetic friction between the ball and the lane is also known. The kinetic frictional force acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When V_{cm} has decreased enough and \omega has increased enough, the ball stops sliding and rolls smoothly.
Given: V_{cm} initial, \omega initial, \muk.
What is V_{cm} in terms of \omega?
While the ball is sliding, what is the ball's linear and angular acceleration?
How Long does the ball slide?
How Far does the ball slide?
What is the linear speed of the ball when smooth rolling begins?
We know since it is sliding initially that the initial angular speed is zero
Rf_{s} = I_{cm}\alpha
Beyond this, I'm lost.
Homework Statement
A sphere is moving along a lane. It slides initially then rolls. The initial speed is V_{cm} and initial angular speed \omega. The coefficient of kinetic friction between the ball and the lane is also known. The kinetic frictional force acting on the ball causes a linear acceleration of the ball while producing a torque that causes an angular acceleration of the ball. When V_{cm} has decreased enough and \omega has increased enough, the ball stops sliding and rolls smoothly.
Given: V_{cm} initial, \omega initial, \muk.
What is V_{cm} in terms of \omega?
While the ball is sliding, what is the ball's linear and angular acceleration?
How Long does the ball slide?
How Far does the ball slide?
What is the linear speed of the ball when smooth rolling begins?
Homework Equations
We know since it is sliding initially that the initial angular speed is zero
Rf_{s} = I_{cm}\alpha
Beyond this, I'm lost.