The system shown in the figure is composed of bar AB which is pin-supported at A and attached to bar BC. The end of bar BC is connected to the slider block C.  At the instant shown, the acceleration of point B is 1.125 m/s2 downward and the angular velocity of bar BC is 0.5625 rad/s counterclockwise.   What is the acceleration of sldier block C?

2. Two rigid links are rotating in the horizontal plane as shown in the figure below. The left-most link rotates with angular rate ₁ of 4 rad/s. The end of the right-most link holds a pin which is confined to move along a slot in the other link. The length of the right-most link 72 is 0.45 m. Determine the angular rate ₂ of the second link at the instant shown. Use 0₁ = 30°, 0₂ = 60°, and r₁ = 0.6 m. 0

The rod AB, shown in the figure, can slide freely along the floor and the inclined plane. At the instant shown, the velocity of end A is 1.4 m/s to the left. (a) Show that the magnitude of the rod's angular velocity is 3 rad/s and indicate its direction. (b) Calculate the velocity of end B and express it in vector form using rectangular (Cartesian) components. 500 mm B 300 mm 125 mm

QUESTION 2 The disc shown in Figure Q2 is rotating counter clockwise with a constant angular velocity of w rad/s. For this instant, show that WAB = WBC = WR and the velocity of L WR √2 If w = 2 rad/s, L = 0.25 m and R = 0.125 m, find the angular acceleration of link BC, aBc and angular acceleration of link AB, CAB. a. b. midpoint D is VD = 3 7 Rm W 0 Figure Q2 Rajah S2 C - A Lm →B L m

The mechanism below has a crank that revolves clockwise at point O at a speed of 2000 rpm. Using vector diagrams, determine: a) The linear velocity of the piston and the angular velocity of the link AB about A. b) The angular acceleration of the link AB about A and the inertial resistance produced by the piston. c)Using trigonometry, confirm your results for the velocity in parts (i), explain your reasons behind which method is preferable, and identify the error margin for your velocity answers.