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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))