13.12 A block moving with simple harmonic motion has a period of 2.0 s. The maximum displacement from equilibrium in any direction is 5.0 cm. (a) Write an equation to describe the displacement, given that at time t = 0 the displacement is zero and the velocity is positive. (b) Write an equation for the displace- ment, given that at time t = 0 the displacement is a maximum and the velocity is zero.

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 12.10P
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13.12 A block moving with simple harmonic motion has
a period of 2.0 s. The maximum displacement from
equilibrium in any direction is 5.0 cm. (a) Write an
equation to describe the displacement, given that at
time t = 0 the displacement is zero and the velocity
is positive. (b) Write an equation for the displace-
ment, given that at time t = 0 the displacement is
a maximum and the velocity is zero.
Transcribed Image Text:13.12 A block moving with simple harmonic motion has a period of 2.0 s. The maximum displacement from equilibrium in any direction is 5.0 cm. (a) Write an equation to describe the displacement, given that at time t = 0 the displacement is zero and the velocity is positive. (b) Write an equation for the displace- ment, given that at time t = 0 the displacement is a maximum and the velocity is zero.
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