Engineering Mechanics Assignment Sheet – 5 Module - 5 Kinematics of Rigid Bodies Q1. In the position shown bar AB has a constant angular velocity of 3 rad/s anticlockwise, determine the velocity of B, angular velocity of bar BC, velocity of C, angular velocity of bar CD. [Ans : VB= 720 mm/s ( ), ππ©πͺ = 2.05 r/s (Clockwise), VC= 1018 mm/s, ππͺπ«= 4.8 r/s (Clockwise) ] Q2. If the link CD is rotating at 5 rad/sec anticlockwise, determine the angular velocity of link AB at the instant shown. [Ans : ππ¨π©= 3.71 r/s (Clockwise) ] Q3. For the link and slider mechanism shown in the figure locate the instantaneous centre of rotation of link AB. Also find the angular velocity of link OA. Take velocity of slider at B = 2500 mm/sec [ Ans : ππΆπ¨= 6.25 r/s (Clockwise) ] Engineering Mechanics Assignment Sheet – 5 Module - 5 Kinematics of Rigid Bodies Q4. A Slider crank mechanism is shown in figure. The crank OA rotates anticlockwise at 100 rad/sec. Find the angular velocity of rod AB and the velocity of the slider at B. [ Ans : ππ¨π© = 36.4 r/s, VB= 18.437 m/s] Q5. Figure shows three bars AB, BC and CD hinged together to form a mechanism. If bar CD has angular velocity of 100 rpm in clockwise sense. Determine velocities of point B & C and the angular velocity of bar AB ? [ Ans : VC = 4.189 m/s ( 19.62 r/s (Clockwise)] ), VB= 4.906 m/s, ππ¨π© = Q6. Rod BDE is partially guided by a roller at D which moves in a vertical track as shown in the figure. Knowing that at the instant shown the angular velocity of AB is 5 rad/sec clockwise and β = 25o determine the (i) angular velocity of rod BE and (ii) velocity of point E. [ Ans : ππ©π¬ = 2.84 r/s (Anticlockwise), VE = 1817.69 mm/sec]