The Slider-Crank mechanism depicted in Fig.1 along with its simplified kinematic representation is used in a water pumping device. A coordinate systems with unit vectors (i , 3) is set up at joint A as indicated on the same figure. At the instant shown, the angular velocity of link AC is (wAC = 1.5 rad/sec), and the coordinates in (cm) of the remaining pin joints are: (xB = 1.3 , YB = 2.6), (xC = -1.0 , yc = 2.1). 1. Calculate the velocity of the slider (VB) and the angular velocity of link BD (WBD) by answering the following questions: (a) Briefly describe (i.e.using complete sentences), the process that you would follow to achieve this objective (i.e.steps). (b) For each step listed in the previous question, proceed with the necessary calculations (i.e. de- tailed calculations required) and solve for velocity of the slider (VB) and the angular velocity of link BD (wBD). 2. Calculate the velocity of point D knowing that the distance between D and C is 2.8 times the distance between B and C. Pin Joint Simplified kinematicrepresentation A
The Slider-Crank mechanism depicted in Fig.1 along with its simplified kinematic representation is used in a water pumping device. A coordinate systems with unit vectors (i , 3) is set up at joint A as indicated on the same figure. At the instant shown, the angular velocity of link AC is (wAC = 1.5 rad/sec), and the coordinates in (cm) of the remaining pin joints are: (xB = 1.3 , YB = 2.6), (xC = -1.0 , yc = 2.1). 1. Calculate the velocity of the slider (VB) and the angular velocity of link BD (WBD) by answering the following questions: (a) Briefly describe (i.e.using complete sentences), the process that you would follow to achieve this objective (i.e.steps). (b) For each step listed in the previous question, proceed with the necessary calculations (i.e. de- tailed calculations required) and solve for velocity of the slider (VB) and the angular velocity of link BD (wBD). 2. Calculate the velocity of point D knowing that the distance between D and C is 2.8 times the distance between B and C. Pin Joint Simplified kinematicrepresentation A
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