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

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

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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