Chapter 20, Problem 15P

Rod AB is rotating with an angular velocity of ωAB = 60 rad/s. Determinethe velocity of the slider C at the instant θ = 60° and ɸ = 45°.

If 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.

An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 30°, the velocity of point C is 14 m (upward to the left) and the angular acceleration of link CD is 45 rad in the CCW direction. Determine the x-component of the velocity vector of point G in m at this instant. Consider L 4 metres. E B y M.

2 Determine the angular velocity of links AB and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to show its general plane motion. B 1 ft 3 ft °c = 6 ft/s

The sphere P travels in a straight line with speed v = 15.6 m/s. For the instant depicted, determine the corresponding values of r and as measured relative to the fixed Oxy coordinate system. Assume x = 6.7 m, y = 4.5 m, p = 31°. K Answers: r = 0 = i X 14.125 -0.82032 V P 91 m/s rad/s

2. The square plate is constrained with the slots at A and B. At the instant when 0= 30°, point B is moving at 5 m/s down. At this 0.3 m instant, tell me the angular velocity of the plate. What is the velocity of point D? What is the velocity of point C? 03 m 0= 30

The slender bar is moving in general plane motion with the indicated linear and angular properties. Locate the instantaneous center of zero velocity (distances x to the right of G and y above G) and determine the magnitudes of the velocities of points A and B. A Answers: X = y = VA = 0.30 m VB= i i 4.0 rad/s G 0.30 m -20° 2.0 m/s B 3 m m/s m/s

Motion of the rectangular plate P is controlled by the two links which cross without touching. For the instant represented where the links are perpendicular to each other, the plate has a counterclockwise angular velocity of 3 rad/s , Determine the corresponding angular velocities of the two links. AO and BD @p = 3 rad/s A D B 0.2 m AO = 0.6 m BD = 0.5 m -0.2 m→

The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using (1) vector equations; and (2) scalar equations. H.W 2 rad/s? w = 3 rad/s Ans: 0.2 m -0.3 m- 30° -0.3 m VA = 0.3i m/s a = -0.9k – 0.2i m/s? (a)