Force Balance on a Moving Cart

This Demonstration calculates the tension required to pull a cart with an acceleration that you vary with a slider. Force balances and Newton's second law of motion are used to calculate the tension, normal force and force due to friction. Use sliders to change the angle of the cable used to pull the cart, the mass of the cart and the coefficient of friction.

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DETAILS

Force balances in the and directions:
,
,
where is the mass of the cart (kg), is acceleration due to gravity, is the acceleration of the cart (), is the force of tension (N), is the force due to friction (N), is the normal force pushing up on the cart (N), is the coefficient of friction, and is the angle of elevation of the rope pulling the cart (degrees).
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