1. An object executes SHM whose displacement x varies with time t according to the x = 8sin(3rt) relation where x is in centimetres and t is in seconds. Determine, a) the amplitude, frequency and period of the motion, [8 cm, 1.5 Hz, 0.667 s] b) the velocity and acceleration of the object at any time, t, [v= 247 cos(3at) a =-72x° sin(3xn) c) the displacement, velocity and acceleration of the object at t = 2 s, [0 cm, 75.4 cms1, 0 cms²) d) the maximum speed and maximum acceleration of the object. [247 cm s", 727² cms*]

1. An object executes SHM whose displacement x varies with time t according to the x = 8sin(3rt) relation where x is in centimetres and t is in seconds. Determine, a) the amplitude, frequency and period of the motion, [8 cm, 1.5 Hz, 0.667 s] b) the velocity and acceleration of the object at any time, t, [v= 247 cos(3at) a =-72x° sin(3xn) c) the displacement, velocity and acceleration of the object at t = 2 s, [0 cm, 75.4 cms1, 0 cms²) d) the maximum speed and maximum acceleration of the object. [247 cm s", 727² cms*]

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Description: 1. An object executes SHM whose displacement x varies with time t according to thex = 8 sin(37t)relationwhere x is in centimetres and t is in seconds.Determine,a) the amplitude, frequency and period of the motion, [8 cm, 1.5 Hz, 0.667 s]b) the veloc

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section: Chapter Questions

Problem 13P: A 500-kg object attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic...

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