P16_016.PDF

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Chapter 16 - 16.16
the acceleration amplitude is a m = ω 2 x m ,where ω is the angular frequency ( ω = k/ ( m + M )from
Eq. 16-12). Therefore, using Newton’s second law, we have
ma m = µ s mg =
k
m + M x m = µ s g
which leads to x m =0 . 22 m.
16. To be on the verge of slipping means that the force exerted on the smaller block (at the point of maximum
acceleration) is f max = µ s mg . The textbook notes (in the discussion immediately aft er Eq. 16-7) that
 
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