Simple Harmonic Motion Concepts

The video tutorial explains the displacement-time graph of a particle in simple harmonic motion (SHM). It identifies the maximum amplitude as 2 meters and the time period for one complete oscillation as 4 seconds. The tutorial then demonstrates how to calculate the maximum velocity of the particle using the formula aΩ, where a is the amplitude and Ω is the angular frequency. By substituting the given values, the maximum velocity is determined to be 5 meters per second.

What type of graph is used to represent the motion of a particle in simple harmonic motion?

• Acceleration-Time Graph

• Velocity-Time Graph

• Force-Time Graph

• Displacement-Time Graph

In the context of simple harmonic motion, what does the displacement-time graph show?

• The change in acceleration over time

• The change in force over time

• The change in displacement over time

• The change in velocity over time

What is the maximum amplitude of the particle as shown in the graph?

• 1 meter

• 2 meters

• 4 meters

• 3 meters

How is the maximum amplitude of a particle in simple harmonic motion represented in the graph?

• As the highest point on the displacement-time graph

• As the lowest point on the acceleration-time graph

• As the lowest point on the force-time graph

• As the highest point on the velocity-time graph

What is the time period for one complete oscillation of the particle?

• 3 seconds

• 5 seconds

• 2 seconds

• 4 seconds

How is the time period of a particle in simple harmonic motion defined?

• The time taken to return to the starting point

• The time taken to reach maximum amplitude

• The time taken to complete one oscillation

• The time taken to reach maximum velocity

What formula is used to calculate the maximum velocity of a particle in simple harmonic motion?

• v = a / Omega

• v = a / T

• v = a * Omega

• v = a * T

In the formula for maximum velocity, what does 'a' represent?

• Time period

• Amplitude

• Acceleration

• Angular frequency

In the formula for maximum velocity, what does 'Omega' represent?

• Acceleration

• Time period

• Amplitude

• Angular frequency

What is the value of Omega if the time period is 4 seconds?

• pi/4

• pi

• 2pi

• pi/2