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 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-
The disks roll on the plane surface without slippage. The left disk rotates at 2 rad/s in the clockwise
direction. Determine the angular velocity of the bar. Enter an answer in radians per second up to the
second decimal place. Note that the counterclockwise direction is the positive rotation.
2 rad/s
3 ft
1 ft
1 ft
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- The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 6.1 m/s², v = 3.5 m/s, b = 0.5 m, 0 = 40°. a Answers: VA= (i aB = ( - A b B V y L __ x i+ i j) m/s i+ ¡ j) m/s²arrow_forwardAt the instant θ = 40 ∘, the bottom A of the L = 13 ft ladder is slipping with velocity vA = -11 ft/s and acceleration aA = -6.5 ft/s2 . (Negative sign for: clockwise rotation, left, and down motion). Determine the velocity of end B of the ladder? Determine the ladder's angular velocity at the given instant? Determine the ladder's angular acceleration? Determine the acceleration of end B?arrow_forwardThe ring of a diameter 1.2 m is pinned to the cart, as shown. At the instant shown, the cart has a velocity v to the right which is increasing at 1.6 m/s per second, and the ring has a clockwise angular velocity w = - 3.2 rad/s which is decreasing at 1.6 rad/s per second, and 0 = 35°. Calculate the magnitude of the accelerations of points B and C on the ring for this instant. (að = 11.82 m/s², ас 10.55 m/s²) = v, a A Ꮎ ω C Barrow_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_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_forwardDetermine the angular acceleration( of the 100kg slender rod at the instant shown. The bar has O velocity and 0 angular velocity at this instant. 60ONarrow_forward
- Please solve this using scalar analysis by getting the scalar components at the x and y direction and not by using i-j-karrow_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_forwardThe wheel of radius R rolls without slipping, and itscenter O has an acceleration aO. A point P on the wheelis a distance r from O. For given values of aO, R, and r,determine the angle θ and the velocity vO of the wheelfor which P has no acceleration in this position.arrow_forward
- The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 5.0 m/s², v = 3.0 m/s, b = 0.2 m, 0 = 45% a Answers: A VA= (i ag= (i b B b V i+i ¡+ i L--x j) m/s j) m/s²arrow_forwardBar BC rotates about the fixed pivot B with constant angular velocity w = 3 rad/s. Pin A is fixed to bar OA, which rotates about a fixed axis through point O, and is engaged in the slot of member BC. If at the instant presented, 0 = 35°, calculate the angular velocity and angular acceleration of bar OA for this instant. Use d = 0.3 m and l = 0.6 m. (wOA = 3.94 rad/s CW, ao₁ = 3.64 rad/s² CCW) d A l B Ꮎ 3arrow_forwardPravinbhaiarrow_forward
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