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# Another simple harmonic motion question. watch

1. Mass = 0.03kg
amplitude = 0.04m
maximum force = 0.372N
Find a) max acceleration
b)time period
c) equation that describes the variation of displacement with time for this motion.

Treid a) I did f=ma
0.372=0.03a
a= 12.4m/s^2

My friends working out: 10-12.4m/s^2

Where did the 10 come from?
2. Is the motion acting in a vertical plane?

Because that would explain the -10 bit if the particle was at the bottom of the oscillation and gravity was acting.
3. (Original post by yaya1)
Mass = 0.03kg
amplitude = 0.04m
maximum force = 0.372N
Find a) max acceleration
b)time period
c) equation that describes the variation of displacement with time for this motion.

Treid a) I did f=ma
0.372=0.03a
a= 12.4m/s^2

My friends working out: 10-12.4m/s^2

Where did the 10 come from?
I can only guess that the calculation refers to mass on a spring.
At the lowest point the upwards force due to spring is a maximum and is 0.372N as given.
The downwards force on the mass is its weight. This is mg and equals 0.03 x 9.8

The acceleration at this point is a maximum and is given by F=ma for the mass.
The resultant force, F, will be the difference between the weight and the spring force.

If you do this you will get the answer given.

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Updated: October 1, 2010
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