(Solved): \( (10 \%) \) Problem 7: The mechanical advantage of an apparatus is the ratio of its output force ...

\( (10 \%) \) Problem 7: The mechanical advantage of an apparatus is the ratio of its output force to the applied force. A crane uses a system of two pulleys to provide mechanical advantage, which makes it possible to lift an object with a very large weight using a much smaller applied force. Note that an ideal pulley only changes the direction of the tension force in a rope or a cable, but the magnitude of the tension force is the same on both sides of the pulley. Suppose a crane is acting against gravity to lift a cotnpact car with a mass \( m=1235.5 \mathrm{~kg} \) \[ N= \] dedoction per hunt Hint remaining: 1 Feedback: 0 ow dedvction per feedback \( 25 \% \) Part (b) Assuming that the positive \( y \) direction is up, input an expression for the sum of the forces acting on the car in the \( y \) direction, in terms of the force applied by the crane's motor, \( F_{C} \), the number of loops around the pulleys, \( \mathrm{N} \), and the given variables. Assume that the crane is raining the car at a constant velocity A \( 25 \% \) Part (c) What is the minumum force, in newtons, the crane's motet must provide to begin to move the car? A \( 25 \% \) Part (d) Assuming the crane's moter is providing a force of \( F_{C}=1555 \mathrm{~N} \) and the number of loops around the pulley is 2 . What is the acceleration, in meters per squared second, of the \( \mathrm{ca} \) ?