PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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End A of the 3.6-ft link has a velocity of 3.7 ft sec in the direction shown. At the same instant, end B has a velocity whose magnitude is
4.4 ft/sec as indicated. Find the angular velocity w of the link in two ways. The angular velocity of the link is positive if
counterclockwise, negative if clockwise.
A
VA = 3.7 ft/sec
40°
Answer: w=
3.6'
B
B
VB = 4.4 ft/sec
rad/sec
At 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 mm
An external drive system actuates the mechanism by applying a moment M at
bearing D. At the instant 0 = 30°, the velocity of point C is 14 m (upward to the
left) and the angular acceleration of link CD is 45
rad
in the CCW direction.
Determine the x-component of the velocity vector of point G in
m
at this instant.
Consider L
4 metres.
E
B
y
M.
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- In the mechanism illustrated below, the disk rolls without slip at constant angular velocity w = 10 rad/s in the indicated direction. R = 0.5ft. use the VECTOR method to determine the angular velocity of link AB and velocity of slider Aarrow_forwardThe wheel rolls without slipping such that at the instant shown it has an angular velocity w and angular acceleration a. Determine the velocity and acceleration of point B on the rod at this instant. B 2a A ω, αarrow_forwardThe wheel slips as it rolls (in the same direction as point O). If vo = 6 ft/sec and if the magnitude of the velocity of A with respect to B is 3 ft/sec, locate the instantaneous center C of zero velocity and find the magnitude of the velocity of point P. A B D 9" P 5" VO v of P = ft/secarrow_forward
- Bar AB is pinned to the fixed support at A, and the collar B is pinned to the bar at its opposite end. The bar CD can slide freely through the collar at B. At the instant shown, bar AB is horizontal, /= 1.2 m, s = 1.07 m, 0 = 60°, and wAB= 40 rad/s. If ªäß = 21 rad/s² at the instant shown, determine the angular velocity and angular acceleration of the bar CD. WAB αAB с. B The angular velocity of the bar CD is The angular acceleration of the bar CD is k rad/s. k rad/s².arrow_forwardThe reel of rope has the angular motion shown. Which one is velocity of point B at the instant shown.arrow_forwardI need an answer in a short timearrow_forward
- If link AB has an angular velocity w= 4 rad/s determine the velocity of block C at the instant shown. 30 200 mm 150 mm WAB = 4 rad/s 60°arrow_forwardThe crankshaft AB turns with a clockwise angular velocity of 8 rad/s. Determine the velocity of the piston at the instant shown.arrow_forwardAt the instant shown, rod CD has a constant clockwise angular velocity WCD- The collar at C is pin connected to CD and slides freely along AB. If the velocity of point Care 7c = 1.3 m/s, the relative velocity of C to A in the rotating coordinates (C/A)zy = (VC/A)zy (0.8667 -0.500) m/s, and the position vector C/A=0.73(0.8667-0.5007) m, -(0.73) (0.500) knowing that (vC/A)zy WAB 0.866 determine the angular velocity of link AB, WAB. [rad/s] (sign sensitive) 12 b W CD constantarrow_forward
- 1 At the instant shown, 0 = 60°, and rod AB is subjected to a deceleration of 16 m/s² when the velocity is 10 m/s. Determine the angular velocity . of link CD at this instant. v = 10 m/s a = 16 m/s² 300 mm 300 mmarrow_forwardConsider the mechanism as shown in the Figure. At the instant shown, the velocity of point A is 0.2 m/s to the right. Find the angular velocity of the rod, and determine the velocity at point B which is B constrained to move in the circular slot. Use vector notation. т/s VB m/sarrow_forwardLink AB is driven with the angular velocity shown and rotates about point A. Link DCE is free to rotate about point D. Link BC connects AB to the midpoint of DCE. Find the angular velocity of DCE and the velocity of point E at the instant shown. T 4 ft 4 ft |9ft E C D B 3 ft A @AB rad S = 10- ? Angular velocity of link DCE == -10- WCD Velocity of E ft S VE = 80i- rad Sarrow_forward
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