Chapter 13, Problem 80PQ

Consider the downhill race in Example 13.9 (page 372). The acceleration of a particle down an incline is a_particle = g sin β, where β is the angle the incline makes with the horizontal. Show that the acceleration of a rolling object down an incline is given by

$a_{\text{CM}}=\frac{a_{\text{particale}}}{\text{1 + }f}$