PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Students have asked these similar questions
The hinged rod is rotating counterclockwise at a rate of 1rad/s. The slider moves with
respect to the rod at a rate of 1m/s in the direction shown. At this moment, the slider
is located 1m from the rod's hinge, and the rod is at the angle shown. Find the x
component of the slider's total velocity.
35°
1 m/s
1 radis
X
Answer(s):
When the bar rotates around point O, the
position of the collar sliding along the bar is
given by r = 10-2t + 3t. Calculate the velocity
and acceleration of the collar at t = 2 (sec) when
the rotation of the bar equals = 0.2t + 0.05t2.
where r is mm, rad, and t is sec.
The x-coordinate of a particle in curvilinear motion is given by x = 3.8t3 - 3.9t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.7t. If the particle has y-components y = 0 and vy = 4.6 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 3.3 sec. Sketch the path for the first 3.3 seconds of motion, and show the velocity and acceleration vectors for t = 3.3 sec.
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- Thex-and y-motions of guides A and Bwith right-angle slots control the curvilinear mation of the connecting pin P. which slides in bath slots. For a short interval, the motions are governed byx- 19+0.47 and y - 19 - 0.90P. wherexand y are in millimeters and tis in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t-23s. Sketch the direction of the path and indicate its curvature for this instant. Calculate the x- and y-components of the acceleration. Answers: mm/s? 0.94 a,- -12.42 mm/s? Calculate the x- and y-components of the velocity. Answers: 2.162 mm/s Vy" -14.283 mm/sarrow_forwardThe x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.7t. If the particle has y-components y = 0 and vy = 3.4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 5.9 sec. Sketch the path for the first 5.9 seconds of motion, and show the velocity and acceleration vectors for t = 5.9 sec.Answers:arrow_forwardThe x-coordinate of a particle in curvilinear motion is given by x = 5.3t³ - 5.1t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 3.8t. If the particle has y-components y = 0 and vy = 3.0 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 4.5 sec. Sketch the path for the first 4.5 seconds of motion, and show the velocity and acceleration vectors for t = 4.5 sec. Answers: V = i ft/sec i ft/sec² a =arrow_forward
- 10(a) The x-coordinate of a particle in curvilinear motion is given by x = 4.4t3 - 4.9t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.9t. If the particle has y-components y = 0 and vy = 3.0 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 6.0 sec. Sketch the path for the first 6.0 seconds of motion, and show the velocity and acceleration vectors for t = 6.0 sec.arrow_forwardThe x-coordinate of a particle in curvilinear motion is given by x = 5.1t3 - 5.3t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.5t. If the particle has y-components y = 0 and vy = 4.5 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 2.8 sec. Sketch the path for the first 2.8 seconds of motion, and show the velocity and acceleration vectors for t = 2.8 sec.arrow_forwardRotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v = 31 mm/s to collar C and causes pin P to travel along with the smooth slot. The velocity of collar C is decreasing at a rate of 5 mm/s2 at the instant in question. Determine the values of r¨ and θ¨, where r = OP, if h = 245 mm and x = 185 mm.arrow_forward
- 5 (a)The x-coordinate of a particle in curvilinear motion is given by x = 3.7t3 - 4.5t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 1.7t. If the particle has y-components y = 0 and vy = 3.4 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 5.9 sec. Sketch the path for the first 5.9 seconds of motion, and show the velocity and acceleration vectors for t = 5.9 sec.arrow_forward4. 3) The hydraulic cylinder D extends, moves the rigid rod ABC, and causes the collar A to move with velocity and acceleration both to the left. If the dimensions/₁ 1.1 ft, and /2 = 2.2 ft, vµ = 5.8 ft/s, aµ = 1.2 ft/s², and the angle 0 = 32°, determine the speed of point C. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. 1₁ D Your Answer: Answer B ● 12 units A ·V =arrow_forwardAs the hydraulic cylinder rotates around O, the exposed length l of the piston rod is controlledby the action of the oil pressure in the cylinder. If the cylinder rotates at the constant rate ofdθ/dt = 55 deg/s and l is decreasing at the constant rate of 155 mm/s, calculate the magnitudesof the velocity v and acceleration a of end B when l = 125 mm.arrow_forward
- The bent flat bar rotates about a fixed axis through point O. The angle can be found at any instant according to this relation 8 = sin(t), where 0 is in rad and t is in seconds. At this instant, determine the instantaneous velocity and acceleration of point A. Note: w=0, a = 0. Also, you must change the angle from (Degree) to (Rad) a I 0.5 m A 0.3 m 105⁰ 30°arrow_forwardPlease answer Part 1!! Find the r- and θ-components of velocity.arrow_forwardConsider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Write the velocity and acceleration as vectors.Answers:v = ( er + eθ) in./seca = ( er + eθ) in./sec2arrow_forward
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