mass m = 0.5 kg slides on a frictionless plane attached to a spring with spring constant k = 100 N/m and undergoes SHM(simple harmonic motion). Its position x(t) = 0.1cos(ωt +π/4) m, where ω =sqrt(k/m). i. Determine the period T and the frequency f of the oscillation ii. Sketch the position and the velocity as a function of time over one period

mass m = 0.5 kg slides on a frictionless plane attached to a spring with spring constant k = 100 N/m and undergoes SHM(simple harmonic motion). Its position x(t) = 0.1cos(ωt +π/4) m, where ω =sqrt(k/m). i. Determine the period T and the frequency f of the oscillation ii. Sketch the position and the velocity as a function of time over one period

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Question

A mass m = 0.5 kg slides on a frictionless plane attached to a spring with spring constant k = 100 N/m and undergoes SHM(simple harmonic motion). Its position x(t) = 0.1cos(ωt +π/4) m, where ω =sqrt(k/m).

i. Determine the period T and the frequency f of the oscillation

ii. Sketch the position and the velocity as a function of time over one period.

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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