PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 2P
The disk rotates about the z axis at a constant rate ωz = 0.5 rad/s without slipping on the horizontal plane Determine the velocity and the acceleration of point A on the disk
Prob. 20-2
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Students have asked these similar questions
The disk rotates about the z axis at a constant rate
w₂ = 0.5 rad/s without slipping on the horizontal plane.
Determine the velocity and the acceleration of point A on
the disk.
@z = 0.5 rad/s
300 mm
- 150 mm
The wheel is rotating with an angular velocity and angular acceleration at the instant shown.
Determine the angular velocity and angular acceleration of the bar at this instant. The bar slides
freely by the flat ring.
300 mm
w = 8 rad/s
a = 4 rad/s
720 mm-
*16-4. The disk is originally rotating at wn = 12 rad/s.
If it is subjected to a constant angular acceleration of
a = 20 rad/s', determine the magnitudes of the velocity
and the n and t components of acceleration of point B when
the disk undergoes 2 revolutions.
wo = 12 rad/s
0.4 m
-0.5 m-A
Chapter 20 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 20 - The propeller of an airplane is rotating at a...Ch. 20 - The disk rotates about the z axis at a constant...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - At a given instant, the antenna has an angular...Ch. 20 - The disk rotates about the shaft S, while the...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The truncated double cone rotates about the z axis...Ch. 20 - Prob. 20P
Ch. 20 - Gear B is driven by a motor mounted on turntable...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 26PCh. 20 - Prob. 27PCh. 20 - Prob. 30PCh. 20 - So1ve Example 20.5 such that the x, y, z axes move...Ch. 20 - Prob. 38PCh. 20 - At the instant = 60, the telescopic boom AB of...Ch. 20 - Prob. 40PCh. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51P
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- The angular velocity of the disk is ω=10 rad/s. The radius of the disk is 0.8 m. Determine the magnitude of the velocity of point A on the disk.arrow_forwardThe hoop is cast on the rough surface such that it has an angular velocity w = 3 rad/s and an angular acceleration a = 5 rad/s2. Also, its center has a velocity of vo = 5 m/s and a deceleration ao = 2 m/s2. Determine the magnitude of the acceleration of point B and its direction angle measured CCW from the x positive axis. L. AY ao vo 45° 0.3 m Select one: O A. aB = 9.29 m/s2; and 0 = 151.34° O B. aB 6.86 m/s; and 0 = 160.12° O C. aB = 5.04 m/s2: and0= 170.31° OD. ap = 7.81 m/s2; and 0= 162.62° 1:08 PM O 4)) G ENG 4/17/2021arrow_forwardThe disk has an angular velocity of 8 rad/s and is increasing at the rate of 5 rad/s' about its Z- axis and the yoke AB has a constant angular velocity w = 3 rad/s about its shaft as shown. Simultaneously the entire assembly revolves about the fixed X-axis with constant velocity o, = 5 rad/s. Determine the velocity and acceleration of point F on the disc for an instant shown in the figure. Also find angular velocity and angular acceleration of the disc. 20 cm 15. 30 cm 30 cm 30 cm N 20 cmarrow_forward
- The disk rolls without slipping and has the angular motion shown in Fig. 16-28a. Determine the acceleration of point A at this instant. w = 6 rad/s a = 4 rad/s² 0,5 ft Aarrow_forward*20-8. The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of w̟ = 4 rad/s, which is increasing at 2 rad/s². Determine the velocity and acceleration of point A on the disk at the instant shown. No slipping occurs. D2 rad/s 4 rad/s B- 0.1 m 0.5 m 0.1 marrow_forward*16–136. Rod AB rotates counterclockwise with a constant angular velocity w = 3 rad/s. Determine the velocity and acceleration of point C located on the double collar when 0 = 45°. The collar consists of two pin-connected slider blocks which are constrained to move along the circular path and the rod AB. w = 3 rad/s 0.4 marrow_forward
- The ring is launched on the rough surface so that it has an angular velocity of 4 rad/s and an angular acceleration of 5 rad/s2. In addition, its center has a speed of 5 m/s and acceleration of 2 m/s2. Determine the acceleration of point A at this point. w = 4 rad/s a = 5 rad/s ao = 2 m/s² V45° vo = 5 m/s 0.3 marrow_forwardThe top rotates with a constant angular velocity of 40 rad/s about its axis which is inclined in the y-z plane at the angle θ = tan-1(3/4). Determine the vector expression in Cartesian form for the velocity and acceleration of point P, whose position vector at the instant is r = 15i + 16j -12k mmarrow_forward*20–4. The ladder of the fire truck rotates around the z axis with an angular velocity of ₁ = 0.15 rad/s, which is increasing at 0.2 rad/s². At the same instant it is rotating upward at 2 = 0.6 rad/s while increasing at 0.4 rad/s². Determine the velocity and acceleration of point A located at the top of the ladder at this instant. Problem 20-3/4 W2 A 40 ft 30°arrow_forward
- *16-124. The disk rolls without slipping such that it has an angular acceleration of a = 4 rad/s and angular velocity of w = 2 rad/s at the instant shown. Determine the acceleration of points A and B on the link and the link's angular acceleration at this instant. Assume point A lies on the periphery of the disk, 150 mm from C. w = 2 rad/s a = 4 rad/s 500 mm 150 mm B 400 mmarrow_forward20-13. The right circular cone rotates about the z axis at a constant rate of w, = 4 rad/s without slipping on the horizontal plane. Determine the magnitudes of the velocity and acceleration of points B and C. wn = 4 rad/s 50 mm Уarrow_forward*16-36. At the instant shown, the shaft and plate rotates with an angular velocity of @ = 14 rad/s and angular acceleration of a = 7 rad/s². Determine the velocity and acceleration of point D located on the corner of the plate at this instant. Express the result in Cartesian vector form. Problem 16-36 0.4 m 0.6 m 0.2 m C 0.3 m 0.3 m 0.4 marrow_forward
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