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Mechanical Properties Of Fluids

Question

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A particle is constrained to move along the shadow of particle revolving in a circle with constant velocity on its diameter. How will the amplitude, frequency and phase of vibrating particle be related with the parameters of particle revolving in the circle?

Solution

Given, a particle is revolving in a circle with constant angular frequency.
Then the amplitude of vibrating particle is equal to the radius of circle.
And, the frequency of oscillation is equal to the frequency of revolution.
Phase of vibrating particle is equal to the angular displacement of revolving particle.

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