Chapter 20, Problem 14P

The relative acceleration of point A with respect to point B of the disk in Figure 1 is given as as/B = 3.347i + 1.283j. If the disk rolls without slipping, determine the angular velocity and angular acceleration of the disk at the instant. If, in other case, the disk rolls with slipping and the vM = 2 m/s to the left and vo = 2 m/s to the right, do you think that the process of determining its angular velocity and angular acceleration becomes easier or harder? A 45° B L--x M 0.2 m'0.2 m Figure 1

The link OC rotates counterclockwise with a constant angular velocity of 15 rad/s within a limited arc of its motion. For the position θ=30 degrees. Determine the relative velocity v(C⁄A) ? Determine the angular velocity ωAB ? Determine the angular acceleration αAB? Determine the Coriolis acceleration ? Determine the acceleration of point C ? Determine the relative acceleration a(C⁄A) ?

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 = 4.8 m/s², v = 3.2 m/s, b = 0.7 m, 0 = 43⁰. a A B V y | | L x

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 input crank link with a radius of 80 mm turns with a constant angular velocity c = 4 rad/sec and causes the slider collar A to oscillate back and forth along the fixed shaft. Determine the velocity of the collar A and the angular velocity of the rigid-body link AB as the input crank link crosses the vertical position as shown in Figure 2. Y-- 300 mm Figure 2. B. 712 40 mm Wo ZI 100 mm -80 mm 120 mm --4

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 A

Bar OC rotates with a clockwise angular velocity woc = 2.9 rad/s and a counterclockwise angular acceleration đoc = 1.5 rad/s². The bar OC is a slotted member which accommodates the pin A attached to the sector. Determine the angular velocity w and the angular acceleration a of the sector. The angular velocity and the angular acceleration are positive if counterclockwise, negative if clockwise. Assume OA = 415 mm, d = 320 mm, e = 37°. A B d aoc Answers: rad/s W = 4.71 i -34.6 rad/s?

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

in the figure the wheel D rotates with an angular velocity ω1 of 2 rad/s counterclockwise. Find the angular velocity ωE of the toothed wheel E with respect to the ground at the instant shown in the diagram.Note: Solve bar AB and sprocket E by IC method and re-solve it again by the realtive method of velocities.