Question 1: The hydraulic cylinder C moves the piston A in the vertical direction that in turn rotates link OD through the slider point B that is fixed to the Piston A. Slider point B slides in the slot of link OD as shown in figure 1. (a) Identify the different components, write down their expected motion including degree of freedom and draw the chosen coordinate system. In the case of slider point B define also the motion of the slider with respect to link OD. [4 marks] If at the instant shown in Figure 1 the piston is moving upwards with a velocity of 2m/s with an upward acceleration of 1m/s² find: (b) The angular velocity of link OD [8 marks] (c) The angular acceleration of link OD and acceleration of slider point B with respect to link OD [8 marks] Piston A Slider point B D 0.45m Cylinder C 0.45m
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- Hydraulic cylinder C moves piston A vertically. - Piston A is connected to slider point B. - Slider point B slides in the slot of link OD, causing it to rotate. Degrees of freedom: - Piston A moves vertically (1 degree of freedom). - Slider point B slides along Show more…
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Problem 1 The off-set crank slider mechanism shown in figure 1 is made up by a crank AB rotating in the counter clockwise direction with a speed of n_AB = 200 rpm, a connecting rod BD with mass m_BD = 12 kg and a massless slider D. The dimensions are given by l = 0.8 m, r = 0.2 m and b = 0.6 m. The connecting rod can be considered a long and slender rod. Consider the position where the crank angle ̘ = 60 deg. Kinematics: a) Applying the principle of relative motion at velocity level, determine the angular velocity ω_AB of the connecting rod BD b) Applying the principle of relative motion at acceleration level, determine the angular acceleration α_AB of the connecting rod BD c) Determine the linear acceleration of the center of gravity of the connecting rod, (a_G)_BD Kinetics: d) Draw a free-body diagram and a kinetic diagram of the connecting rod e) Determine the magnitude of the reaction force acting on the slider D. f) Determine the forces acting on the connecting rod in hinge B.
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