A cylinder of mass M and radius Ris rotated in a uniform V-shaped groove with constant angular velocity w. The coefficient of kinetic friction between the cylinder and each surface is Hk. What is the magnitude and direction of the torque that must be applied to the cylinder to keep it rotating at that angular velocity? You may assume that whatever agent is applying the torque is applying zero net force on the cylinder. 45° 45°

A cylinder of mass M and radius Ris rotated in a uniform V-shaped groove with constant angular velocity w. The coefficient of kinetic friction between the cylinder and each surface is Hk. What is the magnitude and direction of the torque that must be applied to the cylinder to keep it rotating at that angular velocity? You may assume that whatever agent is applying the torque is applying zero net force on the cylinder. 45° 45°

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

A cylinder of mass M and radius R is rotated in a uniform V-shaped groove with constant
angular velocity w. The coefficient of kinetic friction between the cylinder and each surface is
Hk. What is the magnitude and direction of the torque that must be applied to the cylinder
to keep it rotating at that angular velocity? You may assume that whatever agent is applying
the torque is applying zero net force on the cylinder.
45°
45°

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