EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Chapter 19, Problem 21P
To determine
The spool’s angular velocity in
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The 110-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 constant couple moment M =
63 N•m, it starts rolling from rest. Determine the wheel's angular velocity W (in
rad/s) after 6.0 seconds if the wheel has been rolling without slipping. 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.
T
M
Your Answer:
Answer
2. A constant 9-lb force is applied to the 80-lb stepped
cylinder as shown. The radius of gyration about the center
of the circle is kg = 8 in. It rolls on the incline without
slipping. If the cylinder is at rest when the force is first
applied, find the angular velocity after 8 seconds.
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F9
10"
F10
6"
F11
F12
10°
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9 lb
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The 27-kg wheel has a radius of gyration about its center O of ko = 260 mm, and
radius r = 0.5 m. When the wheel is subjected to the constant force F = 354 N,
applied to the wheel's center axle at an angle = 6°, it starts rolling from rest.
Determine the wheel's angular velocity W (in rad/s) after 3.2 seconds if the wheel
has been rolling without slipping. Please pay attention: the numbers may change
since they are randomized. Your answer must include 1 place after the decimal point.
Take g = 9.81 m/s².
F
0
Your Answer:
Answer
Chapter 19 Solutions
EBK ENGINEERING MECHANICS
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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- 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?. Marrow_forwardf cion A force of P = 20 N is applied to the cable, which causes a 175 kg of radius of Gyration KG = 0.42m reel to turn without slipping on the 2 rollers A and B of each 18 kg and radius of 0.1m. P 30° 250 mm OG 500 mm AO OB -400 mm- Calculate the work done by the 20N for 2 revolutions. (J) Determine the angular velocity of the reel after it has rotated 2 revolutions starting from rest. (rad/s) Calculate the Kinetic energy of roller A after the reel rotated 2 revolutions starting from rest. (J) Choose... 7.952 1.88 32.2 3.14 1.98 16.34 20 3.66 62.831 Choose... Choose... Choose... 52 8:44 AM MMarrow_forwardThe figure shows the cross section of a uniform 239-lb ventilator door hinged about its upper horizontal edge at O. The door is controlled by the spring-loaded cable which passes over the small pulley at A. The spring has a stiffness of 16.6 lb per foot of stretch and is undeformed when 8-0. If the door is released from rest in the horizontal position, determine the maximum angular velocity reached by the door and the corresponding angle 0. Answer: @max 4.2¹ rad/sec at 8-iarrow_forward
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- The 20-kg wheel has a radius of gyration about its center O of ko = 280 mm, and radius r = 0.5 m. When the wheel is subjected to the constant force F= 388 N, applied to the wheel's center axle at an angle = 11°, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's /C after 5.5 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². F Ө Your Answer: Answerarrow_forwardlb ft The wheel shown has a weight of 30 lb and a radius of gyration of kg = 0.6 ft. It is attached to a spring which has a stiffness k = 2. and an unstretched length of 1 ft. If the disk is released from rest in the position shown and rolls without slipping, determine its angular velocity at the instant G moves 3 ft to the left. 4 ft Sommi k = 2 lb/ft -3 ft 0.75 ftarrow_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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