Illustrate that the time rate of change of mechanical energy

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Q. An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.25m/s, and its maximum acceleration is 6.89 m/s2. How much time elapses between instant when the object's speed is at a maximum and next instant when its acceleration is at a maximum?

Q. Illustrate that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = -bv^2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E = 1/2mv^2 + 1/2kx^2.

Reference no: EM1369405

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