Question

A mass moves back and forth in simple harmonic motion with amplitude A and period T. (A) In terms of amplitude , through what distance does the mass move in the time T

Answer 1

The distance the mass movement in the time T is 4A.

The amplitude is defined as the maximum displacement of the system from the equilibrium position.

The period refers to the time taken by the system to make one complete oscillation.The time it takes to go from a displacement of x=+A to the next x=+A.We have that the total distance covered by the system in one period T is 4 times the amplitude as 4A as It moves from x=+A to x=0, the distance covered is A.

When it moves from x=0 to x=-A, the distance covered is A+A=2AIf it, moves from x=-A to x=0, distance covered is 2A+A=3AWhen it moves from x=0 to x=+a, distance covered is 3A+A=4AHence, the distance does the mass move in the time T is 4A.

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