We wrap a light, flexible cable around a solid cylinder with mass 0.51 kg and radius 0.29 m. The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block of mass 1.94 kg and release the object with no initial velocity at a distance 1.98 m above the floor. As the block falls, the cable unwinds without stretching or slipping, turning the cylinder. Suppose the falling mass is made of ideal rubber, so that no mechanical energy is lost when the mass hits the ground.

We wrap a light, flexible cable around a solid cylinder with mass 0.51 kg and radius 0.29 m. The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block of mass 1.94 kg and release the object with no initial velocity at a distance 1.98 m above the floor. As the block falls, the cable unwinds without stretching or slipping, turning the cylinder. Suppose the falling mass is made of ideal rubber, so that no mechanical energy is lost when the mass hits the ground.

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

We wrap a light, flexible cable around a solid cylinder with
mass 0.51 kg and radius 0.29 m. The cylinder rotates with
negligible friction about a stationary horizontal axis. We tie the
free end of the cable to a block of mass 1.94 kg and release the
object with no initial velocity at a distance 1.98 m above the
floor. As the block falls, the cable unwinds without stretching or
slipping, turning the cylinder. Suppose the falling mass is made of
ideal rubber, so that no mechanical energy is lost when the mass
hits the ground.
▼
Par
If the
bounc
Expres
h' =
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Part A
If the cylinder is originally not rotating and the block is released from rest at a height 1.98 m above the ground, to what height will this mass rebound if it
bounces straight back up from the floor?
Express your answer in terms of the given quantities.
h' =
Submit
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