Unbalanced Force Components and Acceleration

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min_eng
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Homework Statement



Givens:
Mass of Cart = 1156g = 1.156kg
Mass on string = 400g = 0.4kg
Mass on Cart = 1003g = 1.003kg

The weight attached to the pulley generates the applied force.

Handwritten free-body diagram of a cart on a desk pulled by a string over a pulley, with force labels F_A, F_N, F_g and F_F, and calculations of weights and net force beside it.


Homework Equations



Calculate the force applied.

The Attempt at a Solution



Look on the sheet.
 
Last edited:
the Normal Force by the track is to keep the cart & load from sinking into the track.
it looks like the string is pulling somewhat upward but not entirely upward;
only the upward component will help the track not get sunk into.
Do you know that string's angle?

From a theory perspective: how much total mass is going to accelerate? (no, not 2.159kg)
which component of the string's Tension will be causing that acceleration?

Experimental perspective: did you measure its acceleration with the ticker tape?
then the horizontal component of string Force applied to (car & load) is pretty easy to deduce.

The theory, on the other hand, is a bear because the angle makes the hanger's acceleration different than the car & load acceleration.