4. Massless string is tied to a hanging weight and then run over a frictionless pulley in the shape of a disk of radius R. The string is then wrapped several times around the largest circumference of a solid sphere of radius R that can rotate frictionlessly about an axis through its center. The axes of rotation for both objects are into the page. The disk and sphere both have constant density. The hanging weight is released from rest. The mass of the hanging weight is m. The mass of the sphere is 3m and the mass of the disk is 2m. a. Determine an expression for the speed of the weight after it has dropped a height h. b. What percent of the system's initial potential energy goes into rotating the disk, what percent goes into the rotating the sphere and what percent goes into the falling weight? Partial Answer: 37.5% for the sphere. solid sphere pulley/ disk Đ hanging weight

An ice skater is spinning about a vertical axis with arms fully extended. If the arms are pulled in closer to the body, in which of the following ways are the angular momentum and kinetic energy of the skater affected? A. L increases, K increases B. L increases, K remains constant C. L remains constant, K increases D. L remains constant, K remains constant

Please explain the concepts of how to work the following practice problem out: A playground carousel is rotating counterclockwise about its center on frictionless bearings. A person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. Thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. The carousel has a radius of 1.61 m, an initial angular speed of 3.03 rad/s, and a moment of inertia of 127 kg*m2. The mass of the person is 40.3 kg. Find the final angular speed of the carousel after the person climbs aboard.

Problem 7: Consider the 10.5 kg motorcycle wheel shown in the figure. Assume it to be approximately a ring with an inner radius of 0.28 m and an outer radius of 0.33 m. The motorcycle is on its center stand, so that the wheel can spin freely.

In our class model, wind is flowing along the X axis and torque is generated in the Y axis, with torque measurements in the other axes being near 0. What would happen in reality if the torque in the X axis were large, even larger than in the Y axis? (select only one) The turbine would spin really fast and produce more energy O The turbine would not spin at all The wind could tip over the turbine O The turbine would spin backwards 1or hoth 2 a nd 2

4. Suppose a light cable is wrapped around a solid cylinder with mass 50Kg and diameter 0.12m. The cylinder rotates with no friction about a stationary horizontal axis. The free end of the cable is pulled by a force of 9N over a distance of 2m. What is the speed of the cylinder? 9.0 N 2.0 m 50 kg 0.120 m

A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.8 rev/s . The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.34 m The potter then throws a 2.6-kg chunk of clay, approximately shaped as a flat disk of radius 7.0 cm, onto the center of the rotating wheel. - What is the frequency of the wheel after the clay sticks to it? Ignore friction

A 3.00-kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 8.00-kg cylindrical pulley. The inner diameter of the pulley is 55.0 cm, while the outer diameter is 1.00 m. The system is released from rest, and there is no friction at the axle of the pulley. a) Find the acceleration of the stone and the tension of the wire. b) Find the angular acceleration of the pulley.

Could I please get some help with this problem please and thank you!

Josh has just raised a 2.5 kg bucket of water using a well’s winch when he accidentally lets go of the handle. The winch consists of a rope wrapped around a 3.0 kg, 4.0-cm-diameter cylinder, which rotates on an axle through the center. The bucket is released from rest 4.0 m above the water level of the well. How long does it take to reach the water?