A slider-crank mechanism is one of the simplest and most common four-bar linkages. A oft- used...
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A slider-crank mechanism is one of the simplest and most common four-bar linkages. A oft- used example is the piston in a car engine. Given the diagram shown in Fig. 2, find and plot (for 5 s) the position, velocity, and acceleration of the piston given a constant angular velocity , and the properties given in Table 2. Note, this problem only has one degree of freedom. The position of the piston is completely defined by the angle 0₁. However, it is difficult to write the position vectors without considering the angle 92. The key is that there is a single constraint that equates 1 to 02. Property link length 1,11 link length 2, 12 Table 2: Properties for slider-crank problem. 4₁ 0₁ Value 0.1 m 0.05 m X 1₂ 0₂ 2 Fig. 2: Slider-crank mechanism A slider-crank mechanism is one of the simplest and most common four-bar linkages. A oft- used example is the piston in a car engine. Given the diagram shown in Fig. 2, find and plot (for 5 s) the position, velocity, and acceleration of the piston given a constant angular velocity , and the properties given in Table 2. Note, this problem only has one degree of freedom. The position of the piston is completely defined by the angle 0₁. However, it is difficult to write the position vectors without considering the angle 92. The key is that there is a single constraint that equates 1 to 02. Property link length 1,11 link length 2, 12 Table 2: Properties for slider-crank problem. 4₁ 0₁ Value 0.1 m 0.05 m X 1₂ 0₂ 2 Fig. 2: Slider-crank mechanism
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To solve the problem we need to use the kinematic equations for the slidercrank mechanism The positi... View the full answer
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