Chapter 20, Problem 54P

b) 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.

= 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-

The body is formed of slender rod and rotates about a fixed axis through point O. At time t = 0, the body is in the orientation 0 = 0 and has an angular velocity wo = 0.3 rad/s and a constant angular acceleration a = 0.8 rad/s². Determine the vectors of velocity and acceleration of point A at t = 1 s. Use d = 2r = 0.8 m. (√₁ = 0.106î + 1.240ŷ m/s, da -1.289 + 1.019ĵ m/s²) ω, α y = d x A

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.

Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.19 rad/s at t = 0 and subsequently experiences an angular acceleration a = 2.3t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.5 s. Assume r = 225 mm. α Answers: A -x VA= (i i + j) m/s ад = (i i + j) m/s²

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

The 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 C

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

Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.26 rad/s at t = 0 and subsequently experiences an angular acceleration a = 3.0t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 1.1 s. Assume r = 185 mm. Answers: VA = 90- aд = i i -0.544 -2.58 i + i + i -0.469 -2.226 j) m/s j) m/s²