Rectilinear Motion

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Homework Statement



Find velocity and position as functions of time t for a particle of mass m, which starts from rest at x=t=0, subject to the following force functions.

a) F=Fosin(ct)


Homework Equations



F=ma

The Attempt at a Solution



a) a=Fosin(ct)/m

dv/dt = Fosin(ct)/m

∫dv = ∫Fosin(ct)/m dt

v = -Fo(cos(ct))/mc

integrate again

x+ Fo(sin(ct))/(mc^2)


This solutions manual says the answer is
v=(Fo/cm)(1-cos(ct)
x=(Fo/mc^2)(ct-sin(ct))
 

Answers and Replies

  • #2
Look at your expression for v(t), remember that you want it to be at rest at t=0.
 
  • #3
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I understand now, thanks
 

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