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Which of the following mechanisms were said to have moving pivots?

1) Crank output with path displacement
2) Coupler output with complex displacement
3) Rocker output with complex displacement
4) Rocker output with angular displacement

Answer :

Final answer:

A crank output with path displacement and a rocker output with angular displacement are mechanisms with moving pivots, involving circular motion and rotational kinematics principles.

Explanation:

The mechanisms said to have moving pivots are a crank output with path displacement and a rocker output with angular displacement. A crank, like the one in an automobile axle system, allows for a full 360° rotation about its pivot, translating rotational motion into linear motion. A rocker, on the other hand, has a pivot that often only allows for partial rotation, resulting in angular displacement.

Applications of Circular Motion and Rotational Kinematics

Circular motion and rotational kinematics apply to these mechanisms as they describe the motion of objects that rotate around a central point, which is essential in crank and rocker outputs. An example of uniform circular motion is seen in a crank that rotates uniformly, converting the rotational motion into a linear motion. Rocker outputs involve complex displacement as well, requiring understanding rotational kinematics to describe their motion.

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