A block of mass M = 5.0 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5000 N/m. A bullet of mass m = 12.0 g and velocity v of magnitude 750 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion. (c) what would be the frequency and angular frequency of the oscillation? (d) write position, velocity and acceleration functions for this oscillator. 0000000
A block of mass M = 5.0 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 5000 N/m. A bullet of mass m = 12.0 g and velocity v of magnitude 750 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion. (c) what would be the frequency and angular frequency of the oscillation? (d) write position, velocity and acceleration functions for this oscillator. 0000000
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter12: Coupled Oscillations
Section: Chapter Questions
Problem 12.22P
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