Chapter 2: Problem 50

When do we say that a pendulum has completed one oscillation?

Short Answer

Expert verified

Answer: A pendulum completes one full oscillation when it has moved from its initial displacement (maximal displacement from the equilibrium position) through its equilibrium position to the maximal displacement on the other side, and then back to its initial displacement.

Step by step solution

Understand the concept of a pendulum

A pendulum is a simple mechanical device consisting of a weight (bob) attached to a string or rod, which is allowed to swing back and forth under the force of gravity. When the bob is displaced from its equilibrium position, it experiences a restoring force that returns it back to the equilibrium position. The pendulum follows a periodic motion, that is, it repeats the same motion over and over again.

Identify the equilibrium position

The equilibrium position of the pendulum is the point where the bob, when not experiencing any external forces, will come to rest. In a pendulum, this position occurs when the bob is hanging straight down, and the string (or rod) is vertical.

Determine the starting point and finishing point of a single oscillation

To initiate the oscillation, the pendulum must be displaced from its equilibrium position and released. The bob will then swing back and forth from one side to the other and eventually return to its starting point. A pendulum completes one full oscillation when it swings from its starting point, reaches the opposite extreme, and then returns to its original position.

Explain when a pendulum has completed one oscillation

A pendulum has completed one full oscillation when it has moved from its initial displacement (maximal displacement from the equilibrium position) through its equilibrium position to the maximal displacement on the other side, and then back to its initial displacement. This complete motion comprises one full oscillation.

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When do we say that a pendulum has completed one oscillation?

Short Answer

Step by step solution

Understand the concept of a pendulum

Identify the equilibrium position

Determine the starting point and finishing point of a single oscillation

Explain when a pendulum has completed one oscillation

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