The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped around its inner hub and the end subjected to a horizontal force P = 5 lb. Determine the spool's angular velocity in 4 s starting from rest. Assume the spool rolls without slipping. 0.9 ft 0.3 ft P = 5 lb

The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped around its inner hub and the end subjected to a horizontal force P = 5 lb. Determine the spool's angular velocity in 4 s starting from rest. Assume the spool rolls without slipping. 0.9 ft 0.3 ft P = 5 lb

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 5CQ: If a rigid body has a constant angular acceleration, what is the functional form of the angular...

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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

The spool has a weight of 30 lb and a radius of gyration
ko 0.45 ft. A cord is wrapped around its inner hub and the
end subjected to a horizontal force P = 5 lb. Determine the
spool's angular velocity in 4 s starting from rest. Assume
the spool rolls without slipping.
0.9 ft
0.3 ft
0
P = 5 lb

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