PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The small collar A is sliding on the bent bar with speed u = 1.5 m/s relative to the bar as shown. The distances are L= 2.60 m and d =
0.77 m. Simultaneously, the bar is rotating with angular velocity w = 2.33 rad/s about the fixed pivot B. Take the x-y axes to be fixed to
the bar and determine the Coriolis acceleration acor of the slider for the instant represented. Interpret your result.
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Answer: acor = ( i
i+ i
j) m/s?
B.
The
two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block
ao = 5.2 m/s². If Ò = 0 and 0 = 4.2 rad/s² when 0 = 0, find the magnitude of the acceleration of the tip A of the blade for this
instant.
770
A
mm
ao
What is the angular rate θ˙ measured in rad/s?
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- The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of ωz = 5.5 rad/s , which is increasing at α = 2.5 rad/s2 . No slipping occurs. Determine the x, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation. Determine the x, y, and z components of the acceleration of point B on the disk at the instant shown using scalar notation.arrow_forwardIf the wheel in each case rolls on the circular surface without slipping, determine the acceleration of point C on the wheel momentarily in contact with the circular surface. The wheel has an angular velocity ω = 3.6 rad/s and an angular acceleration α = 5.0 rad/s2. The distances R = 1.5 m and r = 0.6 m.arrow_forwardIf the compact disc is spinning at a constant angular rate θ˙ = 445 rev/min, determine the magnitudes of the accelerations of points A and B at the instant shown. Determine the magnitudes of the velocities of points A and B.arrow_forward
- The disk with radius r = 0.09 m is rotating at a constant angular velocity of ω = 0.9 rad/s (counterclockwise) about the fixed pin support at O. For the instant shown, find the relative acceleration component (aB/A)n, where (aB/A)n = {(ax)i+(ay)j} m/s2. Choose the correct answer: a) ax=-0.292; ay=-0.0729 b) ax=0.786; ay=0.196 c) ax=0.292; ay=0.0729 d) ax=0.0182; ay=0.00349 e) ax=-0.786; ay=-0.196arrow_forwardThe wheel of radius r = - 4 ft rolls without slipping on the horizontal surface. At the instant shown, 3.7 rad/sec, ao : 8.8 ft/sec², and 0 = 60°. Determine the vectors of the accelerations of points A, B, and C on the wheel. (σ = 63.6i +8.8 ft/sec², dB = 43.8i - 43.0j ft/sec², ac = 54.8 ft/sec²) W= = y ω B r απ Ꮎ × A Carrow_forwardb) Find the angular velocity and angular acceleration of disc B shown below, which is spinningatthe constant rate of ω2 = 90/πrpm. The disc is attached to collar A, which is rotating at the angular speed of ω1 = 5/π rpm, with the angular speed increasing at 0.5/π rpm/sec. Rod AB which connects the disc to the collar ispinned to the collar at A. The rod makes an angle of θ = 300 with the vertical, which is increasing at a constant rate of20/π0/sec.Express theAngularvelocityAcceleration of the disc in terms of a reference frame attached to thecollar.arrow_forward
- Hello can you please show me how to do this useing relative motion analysis. I don't think I'm doing the steps totally correct. Thank you in advance.arrow_forward3.0 m/s relative to the bar as shown. The distances are L = 2.97 m and d 0.82 m The small collar A is sliding on the bent bar with speed Simultaneously, the bar is rotating with angular velocity w 1.34 rad/s about the fixed pivot B. Take the x-y axes to be fixed to the bar and determine the Coriolis acceleration acor of the slider for the instant represented. Interpret your result. BC Answer: acor =( | i ii j) m/s2arrow_forwardIn 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_forward
- Typings answerarrow_forwardAn external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 45°, the magnitude of the velocity vector of point C is 14 m upward and to the left and the angular acceleration of link CD is 50 rad in the CCW direction. Determine the y-component of the acceleration vector of point G in m at this instant. Consider L = 6 metres. E y +. Marrow_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_forward
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