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M3 - SHM with an elastic string in the horizontal plane

My book doesn't really show this, but I'm just wondering if I'm right

The total time for a string to complete a revolution would be:

4LVmax+T \frac{4L}{V_{max}} + T

This is when the string will be slack during it's oscillation, hence the distance/time part, and T is the time period of the SHM.

Where L is the natural length of the string, V is the speed at which the particle passes through the midpoint of the oscillation (hence max)

Is this correct?
Original post by TheBBQ
My book doesn't really show this, but I'm just wondering if I'm right

The total time for a string to complete a revolution would be:

4LVmax+T \frac{4L}{V_{max}} + T

This is when the string will be slack during it's oscillation, hence the distance/time part, and T is the time period of the SHM.

Where L is the natural length of the string, V is the speed at which the particle passes through the midpoint of the oscillation (hence max)

Is this correct?


If this 1-dimensional horizontal motion, then yes, that's correct. You've added the time when the string is slack (at max velocity) to the time of the SHM.
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TheBBQ
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Original post by ghostwalker
If this 1-dimensional horizontal motion, then yes, that's correct. You've added the time when the string is slack (at max velocity) to the time of the SHM.


Thank you :smile: the M3 Edexcel textbook isn't always that clear :tongue:

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