PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 22P
To determine
The velocity of point
The acceleration of point
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*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 m
The 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 cm
4 of 6
16–34. If the shaft and plate rotate with a constant
angular velocity of w = 14 rad/s, determine the velocity
and acceleration of point C located on the corner of the
plate at the instant shown. Express the result in Cartesian
vector form.
0,6 m
0.2 m
D
0.4 m
0.3 m
0.3 m
0.4 m
B
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 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 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_forward*20-4. The ladder of the fire truck rotates around the z axis with an angular velocity of w = 0.15 rad/s, which is increasing at 0.2 rad/s. At the same instant it is rotating upward at w, = 0.6 rad/s while increasing at 0.4 rad/s. Determine the velocity and acceleration of point A located at the top of the ladder at this instant. 30° 40 ftarrow_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*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_forwardThe 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
- The hoop is cast on the rough surface such that it has an angular velocity w=6 rad/s and an angular acceleration a =5 rad/s?. Also, its center has a velocity of vo =5 m/s and a deceleration ɑo= 2 m/s². Determine the magnitude of the acceleration of point B and its direction angle measured CCW from the positive axis. AY ao 45° 0.3 m B Select one: O A. ap = 12.56 m/s; and 0 = 148.42| O B. ap = 5.04 m/s3; and 0 = 170.31 OCan 7.81 m/s2; and 0= 162.62° OD.an=9.29 m/s2, and 0 = 151.34° 9:16 PM ) ENG 17-Apr-2021arrow_forwardThe 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_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
- 20-15. At the instant shown, the tower crane rotates about the z axis with an angular velocity w = 0.25 rad/s, which is increasing at 0.6 rad/s. The boom OA rotates downward with an angular velocity wz = 0.4 rad/s, which is increasing at 0.8 rad/s. Determine the velocity and acceleration of point A located at the end of the boom at this instant. w = 0.25 rad/s 40 ft 30 x 'an = 0.4 rad/sarrow_forward16–147. If the slider block C is fixed to the disk that has a constant counterclockwise angular velocity of 4 rad/s, determine the angular velocity and angular acceleration of the slotted arm AB at the instant shown. 40 mm 60 mm 30 w = 4 rad/s 180 mm 60°arrow_forwardAt the instant shown, 0 = 60°, and rod AB is subjected to a deceleration of 16 m/s when the velocity is 10 m/s. Determine the location of the instantaneous center of zero velocity of link BC and use it to find the angular velocity of links BC and CD at that instant. v = 10 m/s a = 16 m/s? 300 mm 300 mmarrow_forward
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