PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 19, Problem 2RP
To determine
The capsule’s angular velocity
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At the instant shown, link CD rotates with an angular velocity of W = 8.5 rad/s. If it is
subjected to a couple moment M = 300 N-m, determine the magnitude of reaction
force developed in link AB. The block has a mass of 50 kg and center of mass at G.
Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is
negligible, the external force or moment acting on it sums up to 0.) Please pay
attention: the numbers may change since they are randomized. Your answer must
include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s2.
0.1 m
0.6 m
В
A
0.4 m
G
0.4 m
D
C
M
Your Answer:
Answer
units
3
At the instant shown, link CD rotates with an angular velocity of W = 9.0 rad/s. If it is
subjected to a couple moment M= 320 N-m, determine the magnitude of the
vertical reaction force developed on pin D. The block has a mass of 50 kg and center
of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB
or CD is negligible, the external force or moment acting on it sums up to 0.) Please
pay attention: the numbers may change since they are randomized. Your answer
must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s².
0.1 m
0.6 m
В
А
0.4 m'
G
0.4 m
D
C
M
Your Answer:
Answer
units
The pavement compactor is traveling down the incline at
VG = 5 ft/s when the motor is disengaged. The body of
the compactor, excluding the rollers, has a weight of
8000 lb and a center of gravity at G. Each of the two
rear rollers weighs 400 lb and has a radius of gyration of
KA = 3.3 ft. The front roller has a weight of 800 lb and
a radius of gyration of kg = 1.8 ft. The rollers do not
slip as they rotate.
(Figure 1)
Figure
3.8 ft
5 ft
A
GT
10 ft
1 of 1
30
730
▼
Part A
Determine the angular velocity of the roller B when the compactor has traveled 16 ft down the plane.
Express your answer in radians per second to three significant figures.
WB =
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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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- The four balls, each of mass m = 2.8 kg, are rigidly mounted to the rotating frame and shaft, which are initially rotating freely about the vertical z-axis at the angular rate of 15.7 rad/s clockwise when viewed from above. The distances r = 0.28 m and R = 0.57 m. If a constant torque M = 25.7 N-m is applied to the shaft, calculate the time t to reverse the direction of rotation and reach an angular velocity 0 = 15.7 rad/s in the same sense as M. 3 m R Answer: t = i - R M m m Sarrow_forwardAt the instant shown, link CD rotates with an angular velocity of W = 8.5 rad/s. If it is subjected to a couple moment M = 340 N·m, determine the magnitude of reaction force developed in link AB. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.4 m 0.4 m G Your Answer: Answer B 0.6 m units A Marrow_forwardThe uniform bar AB has length L = 4.5 ft and weight WAB= 19 lb. At the instant shown, 8 = 67° and vä = 5.8 ft/s. Determine the magnitude of the linear momentum of AB, as well as the angular momentum of AB about its mass center G at the instant shown. lb.s. The magnitude of the linear momentum of AB is The angular momentum of AB about its mass center G at the instant shown is ( ft·lb.s) k.arrow_forward
- The uniform bar AB has length L = 4.5 ft and weight WAB= 19 lb. At the instant shown, 8 = 67° and vä = 5.8 ft/s. Determine the magnitude of the linear momentum of AB, as well as the angular momentum of AB about its mass center G at the instant shown. The magnitude of the linear momentum of AB is -3.22 lb.s. The angular momentum of AB about its mass center G at the instant shown is ( 2.42 ft·lb.s) k.arrow_forwardThe particle of mass m = 2.4 kg is attached to the light rigid rod of length L = 0.77 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 3.5 rad/s. Determine the force T in the rod when θ = 29°. The force T is positive if in tension, negative if in compression.arrow_forward2. The spheres have a mass of 7.50 kg each and are moving at v = 3.50 m/s at time t = 0 as shown. The shaft and frame have negligible mass. A time dependent driving moment M=4-t² is applied. Calculate the speed of the spheres at time t = 6.00 s. M 0.5 marrow_forward
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