A domestic lawn roller can be filled with water making it very heavy (110 lb), but because the water sloshes around the inside of the drum, the rotational inertia is much lower than a solid drum of the same weight. Thus, although the radius of the roller is 10" the radius of gyration is only 2.1". Determine the horizontal velocity of the midpoint of the roller after the homeowner applies the horizontal force shown to the center of the roller for 3 seconds. Ignore the weight of the handle. It is called a "lawn roller" because it always rolls without slipping. 1101b 40° F(t)=(10+.2t) lbf 20"

A domestic lawn roller can be filled with water making it very heavy (110 lb), but because the water sloshes around the inside of the drum, the rotational inertia is much lower than a solid drum of the same weight. Thus, although the radius of the roller is 10" the radius of gyration is only 2.1". Determine the horizontal velocity of the midpoint of the roller after the homeowner applies the horizontal force shown to the center of the roller for 3 seconds. Ignore the weight of the handle. It is called a "lawn roller" because it always rolls without slipping. 1101b 40° F(t)=(10+.2t) lbf 20"

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 domestic lawn roller can be filled with water making it very heavy (110 lb), but because the water
sloshes around the inside of the drum, the rotational inertia is much lower than a solid drum of the same
weight. Thus, although the radius of the roller is 10" the radius of gyration is only 2.1". Determine the
horizontal velocity of the midpoint of the roller after the homeowner applies the horizontal force shown to
the center of the roller for 3 seconds. Ignore the weight of the handle. It is called a "lawn roller" because it
always rolls without slipping.
1101b
40°
F(t)=(10+.2t) lbf
20"

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