A particle undergoes simple harmonic motion with a frequency of f, = 10 Hz. At t = 0 ; the position of the particle is x(0) = 0.25 m, and the velocity of the particle is v(0) = 0.1 m/s a- Calculate the angular frequency of the oscillation (w. = ??) b- Find the amplitude of the oscillation (A = ??) c- Determine the phase f from the initial conditions (f=??) d- Find the displacement x at any time t. (x(t) = ??)

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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Problem 14P: In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
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Problem 1:
A particle undergoes simple harmonic motion with a frequency of f, = 10 Hz. At t = 0 ; the
position of the particle is x(0) = 0.25 m, and the velocity of the particle is v(0) = 0.1 m/s
a- Calculate the angular frequency of the oscillation (wo = ??)
b- Find the amplitude of the oscillation (A = ??)
c- Determine the phase f from the initial conditions (f=??)
d- Find the displacement x at any time t. (x(t) = ??)
Transcribed Image Text:Problem 1: A particle undergoes simple harmonic motion with a frequency of f, = 10 Hz. At t = 0 ; the position of the particle is x(0) = 0.25 m, and the velocity of the particle is v(0) = 0.1 m/s a- Calculate the angular frequency of the oscillation (wo = ??) b- Find the amplitude of the oscillation (A = ??) c- Determine the phase f from the initial conditions (f=??) d- Find the displacement x at any time t. (x(t) = ??)
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