The transmission angle is minimum and maximum respectively, when the c...
Explanation:
The transmission angle is defined as the angle between the coupler link and the output link. It is an important parameter that determines the smoothness of motion in a four-bar linkage mechanism. The optimal transmission angle is 0°, which means that the coupler and output links are aligned. However, in practice, it is not always possible to achieve this ideal condition. Therefore, the transmission angle is usually designed to be as close to 0° as possible.
The transmission angle varies with the crank angle, which is the angle between the fixed link and the crank link. The crank angle determines the position of the mechanism, and it changes as the mechanism moves. The transmission angle is minimum or maximum at specific crank angles, which depend on the geometry of the mechanism.
The transmission angle is minimum when the coupler and output links are parallel, which means that they have the same slope. This occurs when the crank angle is 0° or 180°, which corresponds to the top and bottom dead center positions of the mechanism. At these positions, the coupler link is perpendicular to the fixed link, and the output link is parallel to the fixed link. Therefore, the transmission angle is minimum at crank angles of 0° and 180°.
The transmission angle is maximum when the coupler and output links are perpendicular, which means that they have opposite slopes. This occurs when the crank angle is 90° or 270°, which corresponds to the mid-stroke positions of the mechanism. At these positions, the coupler link is parallel to the fixed link, and the output link is perpendicular to the fixed link. Therefore, the transmission angle is maximum at crank angles of 90° and 270°.
Therefore, the correct answer is option C, which states that the transmission angle is minimum and maximum at crank angles of 0° and 180°, and 90° and 270°, respectively.
The transmission angle is minimum and maximum respectively, when the c...
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