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# M3 SHM watch

1. Why does the I = change of momentum part, give the maximum speed? I mean how do you know that it gives the maximum speed?
2. (Original post by GPODT)

Why does the I = change of momentum part, give the maximum speed? I mean how do you know that it gives the maximum speed?
What happens when the particle receives the impulse in the direction AP?
3. (Original post by Indeterminate)
What happens when the particle receives the impulse in the direction AP?
IT starts moving in that direction ?
4. Bump?
5. (Original post by GPODT)
Why does the I = change of momentum part, give the maximum speed? I mean how do you know that it gives the maximum speed?
Since P is initially at rest, this is the centre of oscillation, which is where speed is a maximum in any SHM.
6. (Original post by GPODT)
IT starts moving in that direction ?
Yes, it starts moving in that direction. But the instant that it starts moving, the string becomes taut, and starts to pull the object back towards point A. This force causes the particle to slow down in the direction that it is moving. Since the force increases as the string length increases, the particles move more and more slowly until it comes to rest. All of its initial kinetic energy is now stored in the spring. Thus its initial speed is its maximum speed.

The particle then starts to move back towards its initial position, moving more and more quickly until it reaches its original position, at which time the spring is no longer taut. At this point, all of the energy stored in the spring has been converted to the kinetic energy of the particle, and it is again moving with maximum speed. Thereafter, the spring no longer applies a force to the particle, so it will move with constant speed (for a while, until the spring is taut again, on the LHS of A)

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Updated: March 16, 2013
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