The maximum tension that can be developed in the cord shown in Fig. 8–19a is 500 N. If the pulley at A is free to rotate and the coefficient of static friction at the fixed drums B and C is µ, = 0.25, determine the largest mass of the cylinder that can be lifted by the cord. B 45 45° C

A force of 15 Newtons stretches a spring 20 centimeters. After a 3 kilogram mass is attached to the spring, the mass is pulled down to a position √3 meters below equilibrium and released with an upward velocity of 5 meters per second. Find a. The equation of motion. b. The amplitude, period, and phase shift of the simple harmonic motion.

2. A cylindrical tank contains oil (use density as p in lb/ ft'). The radius of the tank is 3 feet, the length is 12 feet and oil enters and leaves the tank through an opening at the top. The tank is initially full of oil. Use the sketch below and complete each step below to find the work done in pumping all of the oil out of the opening at the top of the tank. You must use the axis provided. No calculators. (a) Find and expression for the volume of a single representative "slab" of oil that will move out of the tank. (b) Find the expression for the distance any single representative "slab" of oil must move to get out of the tank. (c) Find the expression for the force of a single representative "slab" of oil. (d) Set up (BUT DO NOT SOLVE), the Reimann sum that approximates the total work done in pumping all of the oil out of the tank.

2. A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clock position from a platform that is 5 feet above the ground. The wheel completes a counterclockwise revolution every 2 minutes. At t=0 the person is at the 3 o'clock position.