Chapter 16, Problem 12P

The two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block is aO = 5.2 m/s2. If θ˙θ˙ = 0 and θ¨θ¨ = 4.2 rad/s2 when θ = 0, find the magnitude of the acceleration of the tip A of the blade for this instant..

The 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 B

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.

= The disk has a circular slot with the radius equal to 200 mm, and it is in a pure rotation about O with a constant angular velocity, 15 rad/sec in the direction shown. When the slider A passes the center of the disk O, it has ė = 14 rad/sec and 6 = 0 relative to the disk, in terms of measured in the clockwise direction as shown in the figure. Calculate the magnitude of the acceleration of the slider A when it passes O, by using the body-fixed coordinate system given in the figure. Present your answer in m/sec² using 3 significant figures. A 0. 200 mm-

4. As shown in the image below, the bucket of the backhoe traces the path of the cardioid r = C · (1 – cos 0) ft, where constant C= 28. At this instant angle 0 - = 121°, and the boom is rotating with an angular velocity of 0 = 2.3 rad/s and an angular acceleration of 0 = 0.19 rad/s?. Determine the magnitude of the acceleration of the bucket in rad/s². Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Your Answer: Answer

The flywheel is rotating with an angular velocity wo 1.97 rad/s at time t 0 when a torque is applied to increase its angular velocity. If the torque is controlled so that the angle e between the total acceleration of point A on the rim and the radial line to A is equal to 54° and remains constant, determine the angular velocity and the angular acceleration at time t 0.22 s A Answer: At time t 0.22s, rad/s i W = rad/s2 a =

The vertical rod has a downward velocity v = 1.6 ft/sec and an upward acceleration a = 4.7 ft/sec? when the device is in the position shown. Determine the corresponding angular acceleration of bar AB (positive if counterclockwise, negative if clockwise) and the magnitude of the acceleration of roller Bif R = 19 in. A 1.35R 29° B Answers: a = i -13.97 rad/s2 aB = i ft/sec? -29.85 !!

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/s²

The vertical rod has a downward velocity v = 1.7 ft/sec and an upward acceleration a = 2.9 ft/sec² when the device is in the position shown. Determine the corresponding angular acceleration of bar AB (positive if counterclockwise, negative if clockwise) and the magnitude of the acceleration of roller B if R = 16 in. 1.15R a +0 A 22° R B