Consider a 250 gram cart loaded with an additional 300 grams (for a total mass of 550 grams) sitting on a

friction-less track and having zero initial velocity. A string passed over a pulley attached to one end of the track connects the cart with a vertical 70 gram hanger. Apply Newton’s Second Law of motion in order to calculate to what angle (“critical” angle) should the track be tilted to prevent the cart from moving in either direction. Assume the error in the angle is 0.5 degrees. How does this error affect the behavior of the cart? What acceleration would the system have as a result of a 0.5 degree discrepancy in the tilt from the “critical” angle?

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