PHYS 211 Summer 2021 Homework 10 Due date: June 15, 2021 at 6:00 PM EST 1

PHYS 211 Summer 2021 Homework 10 Due date: June 15, 2021 at 6:00 PM EST 1. A 1.00 ?? mass is attached to a string wrapped around a solid shaft that has a mass of 0.75 ?? with a radius of 6.0 ?? as shown in the figure below. A dumbbell flywheel made from two 0.5 ?? masses is attached to one end of the shaft and perpendicular to its axis and the arm connecting the two masses together does not have mass. The hanging mass is released from rest and allowed to fall 1.0 ? to the floor. It reaches a speed of 1.51 ?/? just before striking the floor. How far apart are the masses of the dumbbell? Solve this problem without using energy. 2. Repeat problem 1 but this time using energy. 3. A constant horizontal force of 2.29 ? is applied to a 1.82 ?? block initially at rest on a frictionless surface. How much work is done on the block in the first 1.35 ? after the force is applied? 4. A 0.324 ?? air-track glider moves with an initial speed of 1.37 ?/?. In order to increase the speed of the mass, 7.31 ? of work is done. What is the final speed of the glider? 5. An object is at rest on top of a smooth sphere with a radius of ? = 15.3 ? that is buried exactly halfway under the ground. It then begins to slide down. At what height from the ground is the object no longer in contact with the sphere? 6. In the figure below, a block ?1 = 50 ? slides down a frictionless surface when starting from rest and falls a height of 20 ?? which then sticks to a uniform rod with a mass of 100 ? and a length of 40 ??. The rod pivots about the axis of rotation shown in the figure and rotates through an angle ? before momentarily coming to a halt. Treating the block as a point mass, find ?.