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Q2. A hydraulically actuated horizontal slider mechanism is illustrated in figure 2 where the motion of piston C is constrained horizontally. Solve for the following situation where the length of the bar OB is 180 mm and the angle BOC is 30 degrees. a) Graphically construct the mechanism using a scale of 1 mm = 2 mm and measure off the length OA and the angles AOC and OCB. Confirm your measurements using trigonometry. b) If the piston at C is moving to the right at 1.5 m/s at this instant, draw the graphical velocity diagram for the linkages using a scale of 1 cm = 0.3 m/s, and measure the velocity of each point (magnitude and direction). c) From the graphical solution for the velocity of A, measure the velocity v: of the sliding motion of A with respect to D, and determine if this r velocity component is positive or negative. d) Measure the ve component of the velocity of A and hence calculate the angular velocity of the link OA at this time and determine its direction, clockwise or anti-clockwise. e) Confirm your measurements from (b) to (d) using calculations. f) The acceleration of C is given as 0.6 m/s^2 to the left at this time (ie decelerating, slowing down). Graphically solve and show the acceleration diagram of the mechanism and measure off the acceleration of B and A. g) Subsequently solve for the sliding acceleration i and the angular acceleration ö of the variable length link AO. h) Again, confirm your measurements for (f) and (g) via calculation. A 150 mm 150 mm D B C

Q2. A hydraulically actuated horizontal slider mechanism is illustrated in figure 2 where the motion of piston C is constrained horizontally. Solve for the following situation where the length of the bar OB is 180 mm and the angle BOC is 30 degrees. a) Graphically construct the mechanism using a scale of 1 mm = 2 mm and measure off the length OA and the angles AOC and OCB. Confirm your measurements using trigonometry. b) If the piston at C is moving to the right at 1.5 m/s at this instant, draw the graphical velocity diagram for the linkages using a scale of 1 cm = 0.3 m/s, and measure the velocity of each point (magnitude and direction). c) From the graphical solution for the velocity of A, measure the velocity v: of the sliding motion of A with respect to D, and determine if this r velocity component is positive or negative. d) Measure the ve component of the velocity of A and hence calculate the angular velocity of the link OA at this time and determine its direction, clockwise or anti-clockwise. e) Confirm your measurements from (b) to (d) using calculations. f) The acceleration of C is given as 0.6 m/s^2 to the left at this time (ie decelerating, slowing down). Graphically solve and show the acceleration diagram of the mechanism and measure off the acceleration of B and A. g) Subsequently solve for the sliding acceleration i and the angular acceleration ö of the variable length link AO. h) Again, confirm your measurements for (f) and (g) via calculation. A 150 mm 150 mm D B C

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Q2. A hydraulically actuated horizontal slider mechanism is illustrated in figure 2 where the motion of piston C is constrained horizontally. Solve for the following situation where the length of the bar OB is 180 mm and the angle BOC is 30 degrees. a) Graphically construct the mechanism using a scale of 1 mm = 2 mm and measure off the length OA and the angles AOC and OCB. Confirm your measurements using trigonometry. b) If the piston at C is moving to the right at 1.5 m/s at this instant, draw the graphical velocity diagram for the linkages using a scale of 1 cm = 0.3 m/s, and measure the velocity of each point (magnitude and direction). c) From the graphical solution for the velocity of A, measure the velocity v, of the sliding motion of A with respect to D, and determine if this r velocity component is positive or negative. d) Measure the vệ component of the velocity of A and hence calculate the angular velocity of the link OA at this time and determine its direction, clockwise or anti-clockwise. e) Confirm your measurements from (b) to (d) using calculations. f) The acceleration of C is given as 0.6 m/s^2 to the left at this time (ie decelerating, slowing down). Graphically solve and show the acceleration diagram of the mechanism and measure off the acceleration of B and A. 8) Subsequently solve for the sliding acceleration i and the angular acceleration ö of the variable length link AO. h) Again, confirm your measurements for (f) and (g) via calculation. A 150 mm 150 mm D B C
Transcribed Image Text:Q2. A hydraulically actuated horizontal slider mechanism is illustrated in figure 2 where the motion of piston C is constrained horizontally. Solve for the following situation where the length of the bar OB is 180 mm and the angle BOC is 30 degrees. a) Graphically construct the mechanism using a scale of 1 mm = 2 mm and measure off the length OA and the angles AOC and OCB. Confirm your measurements using trigonometry. b) If the piston at C is moving to the right at 1.5 m/s at this instant, draw the graphical velocity diagram for the linkages using a scale of 1 cm = 0.3 m/s, and measure the velocity of each point (magnitude and direction). c) From the graphical solution for the velocity of A, measure the velocity v, of the sliding motion of A with respect to D, and determine if this r velocity component is positive or negative. d) Measure the vệ component of the velocity of A and hence calculate the angular velocity of the link OA at this time and determine its direction, clockwise or anti-clockwise. e) Confirm your measurements from (b) to (d) using calculations. f) The acceleration of C is given as 0.6 m/s^2 to the left at this time (ie decelerating, slowing down). Graphically solve and show the acceleration diagram of the mechanism and measure off the acceleration of B and A. 8) Subsequently solve for the sliding acceleration i and the angular acceleration ö of the variable length link AO. h) Again, confirm your measurements for (f) and (g) via calculation. A 150 mm 150 mm D B C
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