- #1
Frillth
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Homework Statement
A simple pendulum of mass m = .28 kg and length L = .65 m is attached to a cart of mass M = 1.0 kg. The mass of the pendulum support is negligible. The cart can roll rreely on a horizontal surface. At t = 0, the pendulum bob is released from rest when the string makes an angle of 10 degrees with the vertical. assume that the resulting motion of the cart relative to the ground is simple harmonic motion. Determine the amplitude of the motion of the cart.
Homework Equations
Not sure.
The Attempt at a Solution
I'm not sure how to solve this, but I had a completely unscientific intuitive guess that the distance pendulum travels * pendulum's mass = distance cart travels * cart's mass:
Horizontal distance between bob at 10 degrees and vertical = .65*sin10
.65*sin10 * .28 = 1*x
x = .032 m
Is this at all close to correct? If not, could somebody please point me in the right direction?