# Figure 5.2 shows a spring undergoing simple har-monic motion. The points y Ao and y Aoare the endpoints of the spring's motion. Let y 0 bethe equilibrium position with the mass attached to thespring. (a) At what point is the magnitude of thevelocity the largest? (b) At which points is its velocityzero? (c) At which points is the magnitude of theacceleration the largest? (d) At which point is itsacceleration zero? Explain your answers thoroughly.y = A。0y=0Figure 5.2: Spring undergoingsimple harmonic motion35

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Figure 5.2 shows a spring undergoing simple harmonic motion. The points y=Aand y=-Aare the endpoints of the spring’s motion. Let y=0 be the equilibrium position with the mass attached to the spring. (a) At what point is the magnitude of the velocity the largest? (b) At which points is its velocity zero? (c) At which points is the magnitude of the acceleration the largest? (d) At which point is it’s acceleration zero?

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Step 1

a)

Oscillation of spring is a simple harmonic motion.

The equation for velocity of simple harmonic motion is,

Step 2

It can be seen that the velocity has maximum value when x=0.It means that velocity will be maximum at the equilibrium position.

Answer: velocity has maximum magnitude at the equilibrium position.

Step 3

b)

From the equation in part (a), it can be seen that the velocity is zero when x=A. It means that velocity wi...

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