Maximum static friction force that can act on B is
Where m is mass of block B.
Maximum acceleration of oscillating body =
If friction force on block B is sufficient enough to provide this acceleration then block does not slide.

( acceleration = force/mass)

(2π×2.5)2 × A = 0.49 × 9.8
A = 0.01946 m
In two significant figures,
A = 0.019 m = 1.9 cm
В P 2003 Thomson-Brooks/Cole FIGURE P13.55 (c13p55) A large block P executes horizontal simple harmonic motion...
A large block P attached to a light spring executes horizontal, simple harmonic motion as it slides across a frictionless surface with a frequency f = 1.60 Hz. Block B rests on it as shown in the figure, and the coefficient of static friction between the two is Mu_s = 0.510. What maximum amplitude of oscillation can the system have if block B is not to slip cm
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