March 29, 2017

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A cart of mass 1.4 kg is attached to a horizontal spring with stiffness 44.4545 N/m and
is able to move horizontally without friction.
The cart is then acted on by a sinusoidal driving force with ω = 4.9 Hz and an amplitude of 1.74532 N.
What is the amplitude of the cart’s horizontal motion under the effects of the driving force?

Answer in units of m

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