Chapter 9, Problem 39P

& A physics problem involves a massive pulley, a bucket filled with sand, a toy truck, and an incline (see Figure P9.39). You push lightly on the truck so it moves down the incline. When you stop pushing, it moves down the incline at constant speed and the bucket moves up at constant speed. (a) Construct separate force diagrams for the pulley, the bucket, and the truck. (b) Use the truck force diagram and the bucket force diagram to help write expressions in terms of quantities shown in the figure for the forces $F1{\text{**\#x00A0;}}_{\text{on Truck}}\text{ and }F{\text{2 }}_{\text{on bucket}}$ that the rope exerts on the truck and that the rope exerts on the bucket. (c) Use the rotational form of Newton's second law to determine if the tension force $F1{}_{\text{on Pulley}}$ that the rope on the right side exerts on the pulley is the same, greater than, or less than the force $F2{}_{\text{on Pulley}}$ that the rope exerts on the left side.