Impulse Acting on a Pendulum

​
mass m of rod
1
length L of rod
2
mass M of ball
2
radius r of ball
0.25
impulse J
5
release system
This pendulum consists of a rod of mass
m
and length
L
with an attached disk of mass
M
and radius
r
. At time
t=0
, an impulse
J
acts on the disk and causes the pendulum to be instantly set in motion. The pendulum is subject to the force of gravity
g
.

Details

Developed from the teaching materials of Thomas Peacock and David Gossard for Course 2.003 in the Department of Mechanical Engineering at MIT.
The equation of motion is
-gsin(θ)(mL/2+M(L+r))13m
2
L
+12M
2
r
+
2
M(L+r)
=θ''
.
The initial angular velocity is
θ'(0)=(L+r)J13m
2
L
+12M
2
r
+
2
M(L+r)
.

External Links

Impulse (ScienceWorld)

Permanent Citation

Sarah Lichtblau
​
​"Impulse Acting on a Pendulum"​
​http://demonstrations.wolfram.com/ImpulseActingOnAPendulum/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011