Chapter 16, Problem 40P

As the hydraulic cylinder rotates around O, the exposed length l of the piston rod P is controlled by the action of oil pressure in the cylinder. If the cylinder rotates at the constant rate 60 deg/s and l is decreasing at the constant rate of 150 mm/s, calculate the acceleration of end B when l = 125 mm.

An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 45°, the magnitude of the velocity vector of point C is 10 m and the angular acceleration of link CD is 35 rad in the CCW direction. Determine the y-component of the acceleration vector of point C in m at this instant. Consider L 6 metres. E AO

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.

4. The man pulls on the rope at a constant rate of o.5 m/s. Determine the angular velocity and angular acceleration of beam AB when e = 60°. The beam rotates about A. Neglect the thickness of the beam and the size of the pulley. 6m 6 m

3. The two sliders at B move freely on OA and the curved rail and are pin connected so they move together as one. The curved rail is described by the equation r = 200 (2- cos ) mm. If the speed of the collar is 400 mm/s when = 160°, what is the angular velocity 0 of the rod OA at this instant? ė A r 600 mm 6 rad/s 0. 400 mm 200 mm

The figure is made of rigid members AB, BC, DE, and EF, whichare pinned at A, B, D, E, and F. End C of member BC is pinned to a block which slides on member DE. For the given position, angular velocity of member AB = 2 rad per sec clockwise and angular acceleration of member AB = 3 rad / s^2 counterclockwise. Find the linear velocity and acceleration of the block at C for this position.

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 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-

Determine the velocity of the rod R for any angle θ of cam C as the cam rotates with a constant angular velocity w. The pin connection at O does not cause an interference with the motion of plate A on C.