A particle undergoes simple harmonic motion with a frequency of f0 = 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.l m/s a- Calculate the angular frequency of the oscillation (w0 = ??) 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) = ??)

A particle undergoes simple harmonic motion with a frequency of f0 = 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.l m/s a- Calculate the angular frequency of the oscillation (w0 = ??) 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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Question

Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.

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