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Multiple Select Question Select all that apply Identify the examples of constrained motions. More than one answer may be correct. \( \square \) The back and forth motion of a piston inside a cylinder \( \square \) Cranks rotating about a fixed axis \( \square \) A shaft falling from a height of 10 m from ground

Ask by Ball Patel. in the United States
Feb 21,2025

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The back and forth motion of a piston inside a cylinder and cranks rotating about a fixed axis are examples of constrained motions.

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The examples of constrained motions are: • The back and forth motion of a piston inside a cylinder • Cranks rotating about a fixed axis Explanation: Constrained motion means that the movement of the object is restricted to a particular path or a set of conditions. In the case of the piston, its movement is constrained to move back and forth within the cylinder. Similarly, the crank rotates about a fixed axis, which restricts its motion to a circular path. On the other hand, a shaft falling from a height is undergoing free fall without any restriction on its path due to constraints, so it is not an example of constrained motion.

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Constrained motions refer to movements that are restricted by some external forces or mechanisms. For instance, the back and forth motion of a piston inside a cylinder is a classic example of constrained motion due to the guiding walls of the cylinder that define its path. Similarly, cranks rotating about a fixed axis illustrate constrained motion since they pivot around a specific point, limiting their movement to a circular arc. On the other hand, a shaft falling from a height of 10 m is not a constrained motion. It is a free motion influenced by gravity, allowing it to fall freely without any restricted path. This distinction is crucial when analyzing mechanical systems and understanding how different components interact.

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