Simple Harmonic Motion: Maximum Velocity and Acceleration Calculation

[daveiejbeer]

The total movement of a body oscillating with simple harmonic motion is 200mm. If the frequency of oscillation is 6Hz, determine the maximum velocity and maximum acceleration of the body.

I missed the class when this was done so I haven't got the notes. I am not sure if this is right but I found these equations

v = w Acos wt
a = -w2 Asin wt = -w2y

Anyone point me in the right direction please?

 

[rock.freak667]

The total movement of a body oscillating with simple harmonic motion is 200mm. If the frequency of oscillation is 6Hz, determine the maximum velocity and maximum acceleration of the body.

I missed the class when this was done so I haven't got the notes. I am not sure if this is right but I found these equations

v = w Acos wt
a = -w2 Asin wt = -w2y

Anyone point me in the right direction please?

If you know v=ωA*cosωt

v_max will occur when cosωt is maximum, so cosωt is what number?

 

[daveiejbeer]

I found this info http://electron9.phys.utk.edu/phys135d/modules/m9/oscillations.htm so I am reading this.

 

[daveiejbeer]

Im still none the wiser!

 

[rock.freak667]

I found this info http://electron9.phys.utk.edu/phys135d/modules/m9/oscillations.htm so I am reading this.

Im still none the wiser!

Well let's start simple. For the graph of y=sinx, what is the maximum value of y? (the graph oscillated between?)


what is the relationship between ω and the frequency?

 

[daveiejbeer]

Is the max value of y 1? Going back to trig and waveforms.
Isn't ω 2∏ times the frequency?

 

[rock.freak667]

Is the max value of y 1? Going back to trig and waveforms.
Isn't ω 2∏ times the frequency?

Right, so wouldn't

v_max=ωA ?