An oscillating mass at the end of a spring is at a distance y from its equilibrium

Chapter 3, Problem 59

(choose chapter or problem)

An oscillating mass at the end of a spring is at a distance y from its equilibrium position given by y = A sin k m t . The constant k measures the stiffness of the spring. (a) Find a time at which the mass is farthest from its equilibrium position. Find a time at which the mass is moving fastest. Find a time at which the mass is accelerating fastest. (b) What is the period, T , of the oscillation? (c) Find dT /dm. What does the sign of dT /dm tell you?

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