A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with an amplitude A = 0.1 m. At what position (x = ?) would the kinetic energy of the system be equal to three times its elastic potential energy (K 3U)?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
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A mass-spring system oscillates on a frictionless horizontal surface in simple
harmonic motion with an amplitude A = 0.1 m. At what position (x = ?) would the
kinetic energy of the system be equal to three times its elastic potential energy
(K = 3U)?
!!
At x = +0.05 m
At x = +0.04 m
At x = +0.025 m
At x = +0.1 m
At x = +0.08 m
Transcribed Image Text:A mass-spring system oscillates on a frictionless horizontal surface in simple harmonic motion with an amplitude A = 0.1 m. At what position (x = ?) would the kinetic energy of the system be equal to three times its elastic potential energy (K = 3U)? !! At x = +0.05 m At x = +0.04 m At x = +0.025 m At x = +0.1 m At x = +0.08 m
The equation of motion ofa particle in simple harmonic motion is given by: x(t)
0.1cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's
velocity is v = -1.256 m/s. The period of oscillation, T, equals:
0.5 sec
O 3 sec
0.25 sec
1 sec
O 1.5 sec
A mass-spring system oscillates on a frictionless horizontal surface in simple
%3D
harmonic motion with an amplitude A = 0.1 m. At what position (x = ?) would the
kinetic energy of the system be equal to three times its elastic potential energy
(K = 3U)?
Transcribed Image Text:The equation of motion ofa particle in simple harmonic motion is given by: x(t) 0.1cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals: 0.5 sec O 3 sec 0.25 sec 1 sec O 1.5 sec A mass-spring system oscillates on a frictionless horizontal surface in simple %3D harmonic motion with an amplitude A = 0.1 m. At what position (x = ?) would the kinetic energy of the system be equal to three times its elastic potential energy (K = 3U)?
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