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WOLFRAM|DEMONSTRATIONS PROJECT

Mass Motion under a Variable Force

​
t
0.5
m
1
1.
m
2
2.
■
x(t)
position
■
.
x
(t)
velocity
■
..
x
(t)
acceleration
■
T
y
(t)
tension in y
A cart of mass
m
1
initially at rest at
x=0
at time
t=0
is attached to a mass
m
2
hanging from a pulley. The pulley and the floor are assumed to be frictionless. The experiment gives a case of motion under a variable force because the angle varies with time. The resulting equation of motion has no simple analytic solution, so the solution is integrated numerically.
Plots of position
x(t)
, velocity
x
(t)
, and acceleration
..
x
(t)
versus time are shown.
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