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°

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...

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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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