Chapter 13, Problem 77P

A 1.2-kg block rests on a frictionless surface and is attached to a horizontal spring of constant k = 23 N/m (Fig. 13.34). The block oscillates with amplitude 10 cm and phase constant ϕ = −π/2. A block of mass 0.80 kg moves from the right at 1.7 m/s and strikes the first block when the latter is at the rightmost point in its oscillation. The two blocks stick together. Determine the frequency, amplitude, and phase constant (relative to the original t = 0) of the resulting motion.

FIGURE 13.34 Problem 77