Question

A block-spring system oscillates on a frictionless horizontal surface. The time needed for the block to complete one cycle is 0.1 sec. Determine the time needed for the block to travel from -A/2 to A/2, where A is the amplitude of motion

Answer 1

The time needed for the block to travel from -A/2 to A/2 is mathematically given as

t=0.5sec

What is the time needed for the block to travel from -A/2 to A/2?

Generally, when the start point is the mean intial position and it goes from  A/2  down through the right goes through and fro back to the mean position, and this is after it must have gone through -A/2. Hence it has finished one cycle (0.1 sec.)

In conclusion, for an -A/2 to A/2 oscillation, then it will finish half-cycle given time period to be

t=1/2

t=0.5sec

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