PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 17, Problem 104P
If P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occurs.
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A constant couple moment M is acted on the drum O to pull the spool C up the incline. Both drum
O and spool C can be treated as uniform disk. If spool C is rolling without slipping, determine the
angular acceleration of the drum and the cord force.
R
R
(0 M
The 10 kg wheel has a radius of gyration about its center
O of ko = 300 mm. When the wheel is subjected to the
couple moment, it slips as it rolls. Determine the angular
acceleration of the wheel and the acceleration of the
wheel's center O. The coefficient of kinetic friction
between the wheel and the plane is = 0.2. (Figure 1)
Figure
M 100 N m
< 1 of 1
0.4 m
Part A
Determine the angular acceleration of the wheel.
Express your answer to three significant figures and include the appropriate units.
α =
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Part B
ao =
μÅ
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Determine the acceleration of the wheel's center O.
Express your answer to three significant figures and include the appropriate units.
μA
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Value
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Units input for part B
The 24-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r= 0.4 m. When the wheel is subjected to the
couple moment M = 90 N•m, it slips as it rolls. Determine the linear acceleration of the wheel's center O (in m/s?). The coefficient of
kinetic friction between the wheel and the plane is Uk = 0.45. Please pay attention: the numbers may change since they are
randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?.
M
Chapter 17 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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- The 16-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m. When the wheel is subjected to the couple moment M = 98 N•m, it slips as it rolls. Determine the angular acceleration of the wheel (in rad/s²). The coefficient of kinetic friction between the wheel and the plane is μ = 0.27. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: Answer 1arrow_forwardIf the coefficient of static friction between the 50-lb roller and the ground is p, = 0.25, determine the maximum force P that can be applicd to the handle, so that roller rolls on the ground without slipping. Also, find the angular acceleration of the roller. Assume the roller to be a uniform cylinder. 15 ft 30arrow_forward2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must be applied to the bar? What are the reaction forces at A and B at that instant? Additional question: Does the width of the bar matter, or is it appropriate to consider the bar as a slender rod? Consider errors of less than 2% negligible.arrow_forward
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