Vmax and Amax known.

  • #1

Homework Statement



An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.11 m/s, and its maximum acceleration is 6.65 m/s2. How much time elapses between an instant when the object's speed is at a maximum and the next instant when its acceleration is at a maximum

Homework Equations





The Attempt at a Solution



Not sure where to start
 

Answers and Replies

  • #2
58
0
You can use equation for a simple harmonic motion (distance as a cosine or sine function), and keep differentiating it to find the time of maximum speed and acceleration.
 
  • #3
1,137
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or use energy conservation

at which position do you think speed and acc. be max
 
  • #4
Still not getting it..
 
  • #5
or use energy conservation

at which position do you think speed and acc. be max
Vmax will occur when x=0

Amax will occur when V=0
 
  • #6
gneill
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Vmax will occur when x=0

Amax will occur when V=0
V is not a position.
 
  • #8
1,137
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Jow can you write the energies of body at x=0 and x=max?
 
  • #9
gneill
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well Amax will occur at xmax
Yes, and what position is that, where position means angle(s).
 
  • #10
Still not understanding can you lay it out a bit
 
  • #11
gneill
Mentor
20,913
2,862
In simple harmonic motion the displacement follows a sine (or cosine, your choice) function. You should have seen this in class or in your text.
 

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