# Problem: A mass moves back and forth in simple harmonic motion with amplitude A and period T. In terms of T, how long does it take for the mass to move through a total distance of 4A? How long does it take for the mass to move through a total distance of 5A?

###### FREE Expert Solution

Period, T, in simple harmonic motion is the time taken by mass m to complete one oscillation.

One oscillation is described as the motion of m from the original position, O to + A to - A, and back to O.

85% (433 ratings) ###### Problem Details

A mass moves back and forth in simple harmonic motion with amplitude A and period T. In terms of T, how long does it take for the mass to move through a total distance of 4A? How long does it take for the mass to move through a total distance of 5A?

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Our tutors have indicated that to solve this problem you will need to apply the Simple Harmonic Motion of Pendulums concept. You can view video lessons to learn Simple Harmonic Motion of Pendulums. Or if you need more Simple Harmonic Motion of Pendulums practice, you can also practice Simple Harmonic Motion of Pendulums practice problems.