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

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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

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

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