- #1

nns91

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## Homework Statement

1. A ball rolls without slipping down an incline of angle [tex]\theta[/tex]. The coefficient of static friction is [tex]\mu[/tex]

_{s}. Find the maximum angle of the incline for which the ball will roll without slipping.

2. Find the percentages of the total kinetic energy associated with rotation and translation, respectively, for an object that is rolling without slipping if the object is (a) a uniform sphere, (b) a uniform cylinder, or (c) a hoop.

## Homework Equations

[tex]\tau[/tex]=I*[tex]\omega[/tex]

## The Attempt at a Solution

1. I found out the acceleration and the frictional force. How do I relate these information to the maximum angle ?

I know that for the ball to roll without slipping the condition V= R*[tex]\omega[/tex] is hold.

2. I know that KE= (1/2)mv^2 + (1/2)I[tex]\omega[/tex]^2.

How do I calculate the percentage from there ??