EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137616909
Author: HIBBELER
Publisher: VST
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Textbook Question
Chapter 19, Problem 24P
The 30-kg gear is subjected to a force of P = (20t) N, where t is in seconds Determine the angular velocity of the gear at t = 4 s, starting from rest. Gear rack B is fixed to the horizontal plane, and the gear's radius of gyration about its mass center O is kO = 125 mm.
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1. If the cord is subjected to a horizontal force of P = 150N, and gear is supported by a fixed pin
at O, determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s,
starting from rest. The mass of the gear is 50-kg and it has a radius of gyration of ko = 125
mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth.
75 mm
P = 150 N
150 mm
A force of P = 60 N is applied to the cable, which causes
the 200-kg reel to turn since it is resting on the two rollers
A and B of the dispenser. Determine the angular velocity of
the reel after it has made two revolutions starting from rest.
Neglect the mass of the rollers and the mass of the cable.
Assume the radius of gyration of the reel about its center
axis remains constant at k, = 0.6 m.
3. The 300-kg gear has a radius of gyration about its center of mass O of ko = 400 mm. If the wheel
is subjected to a couple moment of M= 300 N-m, determine its angular velocity 6 s after it starts
from rest and no slipping occurs. Also determine the friction force that the ground applies to the
wheel. Solve the problem using Impulse and Momentum.
M 300 Nm
0.6 m
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 28-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 = 63 N•m, it slips as it rolls. Determine the linear acceleration of the wheel's center O (in m/s²). The coefficient of kinetic friction between the wheel and the plane is μ = 0.47. 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_forwardThe 10-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.arrow_forwardThe 30-kg gear is subjected to a forcec of P = (20x) N, where tis in scconds Determine the angular velocity of the gear at t = 45, starting from rest. Gear rack B is fixed to the horizontal plane, and the gear's radius of gyration about its mass center O is ko = 125 mm. 1501arrow_forward
- The 31-kg reel is mounted on the 16-kg cart. Part A: If the cable wrapped around the inner hub of the reel is subjected to a force of P=50N, determine the velocity of the cart when t = 4.2 s. The radius of gyration of the reel about its center of mass O is kO=250mm. Neglect the size of the small wheels. Part B: Determine the angular velocity of the reel when t = 4.2 s.arrow_forwardThe 10-kg rod AB shown is confined so that its ends move in the horizontal andvertical slots. The spring has a stiffness of k = 800N/m and is unstretched when θ = 0˚.Determine the angular velocity of AB when θ = 0˚, if the rod is released from rest when θ = 30˚.Neglect the mass of the slider blocks. It’s frictionless.arrow_forwardThe 33-kg reel has a radius of gyration about its center O of ko = 240 mm. If it is released from rest, determine its angular velocity W (in rad/s) when its center O has traveled 6.9 m down the smooth inclined plane (with angle = 32°). 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. 0.2 m Your Answer: Answer TO 0.4 marrow_forward
- The system is made up of the 1-m, 6.5-kg uniform rod AB and the two uniform disks (each of 0.15 m radius and 1.7 kg mass). If the system is released from rest when 0= 78°, when rod AB has just become horizontal, determine the angular velocity of rod AB in rad/s. Assume the disks roll without slipping. Your answer must include 2 places after the decimal point. Please pay attention: the numbers may change since they are randomized. Take g = 9.81 m/s². Your Answer: Answerarrow_forwardThe vertical bar AB has a mass of 150 kg with center of mass G midway between the ends. The bar is elevated from rest at θ = 0 by means of the parallel links of negligible mass, with a constant couple M = 5 kN∙m applied to the lower link at C. Determine the angular acceleration α of the links as a function of θ and find the force B in the link DB at the instant when θ = 30°.arrow_forwardThe 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.arrow_forward
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