a) Assuming that f=N, show that the coefficient of (rolling) friction for the ca

Question

a) Assuming that f=N, show that the coefficient of (rolling) friction for the car moving down the inclined plane with a constant speed is gived by =m2/mccos. Use symbols, not numbers.

b)Prove that is equal to k when the blcok sldies down the incline with a constant speed?(use symbols not numbers)

b2) if is the maximum angle of inlcline justbefore theblcok moves, what is s in term of ?

c)suppose that the blcok were made to move up the inclined plane with a uniform speed by suspending masses on a string over the pulley. Derive an equation for the coefficient of kinetic friction for this case in terms of the suspended masses, the mass of the block, and the angle of decline. (neglect friction and mass of pulley)

Explanation / Answer

Since when the car moves down f= mcgsin(theta) - m2g and N=mcgcos(theta)..... you can write f=uN as ........... mcgsin(theta)-m2g= u (mcgcos(theta)) so u= (mcgsin(theta)-m2g)/ (mcgcos(theta)) it can be simplified to... u= tan (theta) - (m2/mccos(theta))

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