The link lengths and offset (in) and the values of 02, 002, and a2 for some noninverted, offset fourbar crank- slider linkage in addition to the general linkage configuration and terminology are shown in figure below. Find the position, velocity and acceleration of the pin joints A and B, and the position, velocity, and acceleration of slip at the sliding joint using an analytical method. Derive the necessary equations starting with the vector loop equation before using them in the analytical solution. Show your hand calculations. 02 Link 2 02 m 0₂ Link 3 Offset Slider position d 04 = 90° X

Elements Of Electromagnetics
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The slider-crank or crank-slider mechanism is essentially a four-bar linkage which is commonly found in
mechanical systems, e.g., internal combustion engine and oil-well drilling equipment. For the internal
combustion engine, the mechanism is driven by a firing load that pushes the piston, converting the
reciprocal motion into rotational motion at the crank. For oil-well drilling equipment, the rotational motion
is converted to a reciprocal motion at the piston that digs into the ground. The length of the crank must be
smaller than that of the rod to allow the mechanism to operate properly according to Grashof's law.
The link lengths and offset (in) and the values of 02, 002, and a2 for some noninverted, offset fourbar crank-
slider linkage in addition to the general linkage configuration and terminology are shown in figure below.
Find the position, velocity and acceleration of the pin joints A and B, and the position, velocity, and
acceleration of slip at the sliding joint using an analytical method. Derive the necessary equations starting
with the vector loop equation before using them in the analytical solution. Show your hand calculations.
α₂
0002
Link 2
0₂ fr
Link 2
1.4
0₂
Link 3
4
Link 3
Offset
Slider position d
Offset
1
82
45
03
B
002
10
04 = 90°
X
α2
0
Use a spreadsheet or an equation solver to solve for the displacements, velocities, and accelerations in an
offset crank-slider linkage. Plot the variation in all links' angular and all pins' linear positions, velocities,
and accelerations with a constant angular velocity input to the crank over one revolution for both open and
crossed configurations of the linkage. To test the program, use the data from the figure. Check your results
with the program LINKAGES.
Transcribed Image Text:The slider-crank or crank-slider mechanism is essentially a four-bar linkage which is commonly found in mechanical systems, e.g., internal combustion engine and oil-well drilling equipment. For the internal combustion engine, the mechanism is driven by a firing load that pushes the piston, converting the reciprocal motion into rotational motion at the crank. For oil-well drilling equipment, the rotational motion is converted to a reciprocal motion at the piston that digs into the ground. The length of the crank must be smaller than that of the rod to allow the mechanism to operate properly according to Grashof's law. The link lengths and offset (in) and the values of 02, 002, and a2 for some noninverted, offset fourbar crank- slider linkage in addition to the general linkage configuration and terminology are shown in figure below. Find the position, velocity and acceleration of the pin joints A and B, and the position, velocity, and acceleration of slip at the sliding joint using an analytical method. Derive the necessary equations starting with the vector loop equation before using them in the analytical solution. Show your hand calculations. α₂ 0002 Link 2 0₂ fr Link 2 1.4 0₂ Link 3 4 Link 3 Offset Slider position d Offset 1 82 45 03 B 002 10 04 = 90° X α2 0 Use a spreadsheet or an equation solver to solve for the displacements, velocities, and accelerations in an offset crank-slider linkage. Plot the variation in all links' angular and all pins' linear positions, velocities, and accelerations with a constant angular velocity input to the crank over one revolution for both open and crossed configurations of the linkage. To test the program, use the data from the figure. Check your results with the program LINKAGES.
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