I have two that I am really stumped on. I have a feeling I\'\'m justover thinkin

Question

I have two that I am really stumped on. I have a feeling I''m justover thinking them, but I would really appreciate it if someonecould help me out. I'm not quite sure where to start.
1.) What is the minimum coefficient of friction requiredto maintain pure rolling motion for a disk down an inclined planewith an angle of 57.2 degrees?
2.) A bowling ball has a massof 4.4 kg, a moment of inertia of 0.007 kg m², and a radius of0.25 m. If it rolls down the lane without slipping at a linearspeed of 2.3 m/s, what is its total energy?
1.) What is the minimum coefficient of friction requiredto maintain pure rolling motion for a disk down an inclined planewith an angle of 57.2 degrees?
2.) A bowling ball has a massof 4.4 kg, a moment of inertia of 0.007 kg m², and a radius of0.25 m. If it rolls down the lane without slipping at a linearspeed of 2.3 m/s, what is its total energy?

Explanation / Answer

the minimum frictional force on the disk must be equlato the gravity component of weight of the disk           if the disk was placed on an incline making an angle withthe horizantal , the rolling friction                    F = N = mgsin from this relation we can solve for of theincline.    N = normal force = mgcos     = coefficient of rollingfriction. 2) the total energy of the rolling disk is = transilatoryenergy of centre of mass + rotational energy                           mv^2 / 2 + I(v/r)^2 / 2 = mgh      h = intial height from theground      I = moment of inertia of thedisk      v = linear velocity by the timeit reach the grnd      r = radius of the disk       m = mass of the disk.      

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