PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 19, Problem 5FP
The 50-kg spool is subjected to a horizontal force of P = 150 N. It the spool rolls Without slipping determine its angular velocity 3 s after it starts from rest The radius of gyration of the spool about its center of mass is kG = 175 mm.
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A wheel of diameter 150.0 mm and width 37.00 mm carrying a load 2.200 kN rolls on a
flat rail. Take the wheel material as steel and the rail material as cast iron. Assume the
figure given, which is based on a Poisson's ratio of 0.3, is applicable to estimate
the depth at which the maximum shear stress occurs for these materials. At this critical
depth, calculate the Hertzian stresses σr, σy, σz, and Tmax for the wheel.
1.0
0.8
0, т
Ratio of stress to Pmax
0.4
0.6
90
69
0.2
0.5b
b
1.5b
Tmax
2b
Distance from contact surface
The Hertizian stresses are as follows:
02 = or = -23.8 psi for the wheel =|
necessary.)
σy for the wheel =|
MPa
σz for the wheel =
MPa
V4 for the wheel = |
MPa
2.5b
ཡི
3b
MPa (Include a minus sign if
Only question 3
Only question 2
Chapter 19 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 19 - The 60-kg wheel has a radius of gyration about its...Ch. 19 - Prob. 2FPCh. 19 - Prob. 3FPCh. 19 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19 - The 50-kg spool is subjected to a horizontal force...Ch. 19 - Prob. 6FPCh. 19 - The rigid body (slab) has a mass m and rotates...Ch. 19 - Prob. 2PCh. 19 - Show that if a slab is rotating about a fixed axis...Ch. 19 - Prob. 21P
Ch. 19 - The two gears A and B have weights and radii of...Ch. 19 - The 30-kg gear is subjected to a force of P =...Ch. 19 - Prob. 27PCh. 19 - The turntable T of a record player has a mass of...Ch. 19 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19 - Prob. 31PCh. 19 - Disk A has a weight of 20 lb. An inextensible...Ch. 19 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19 - A thin rod of mass m has an angular velocity o...Ch. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 44PCh. 19 - The 10-lb block is sliding on the smooth surface...Ch. 19 - Prob. 46PCh. 19 - The pendulum consists of a 15-kg solid ball and...Ch. 19 - Prob. 48PCh. 19 - The 20-kg disk strikes the step Without...Ch. 19 - The solid ball of mass m is dropped with a...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - Prob. 58PCh. 19 - The cable is subjected to a force of P = (10t2)...Ch. 19 - Prob. 2RPCh. 19 - The tire has a mass of 9 kg and a rad1us of...Ch. 19 - Prob. 4RPCh. 19 - The spool has a weight of 30 lb and a radius of...Ch. 19 - Prob. 6RPCh. 19 - Prob. 7RPCh. 19 - Prob. 8RP
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