Simple Harmonic Motion - Graphs of Position, Velocity, and Acceleration

The video tutorial explores simple harmonic motion by deriving and graphing equations for position, velocity, and acceleration. It explains the concepts of angular frequency and phase constant, and demonstrates the relationship between simple harmonic motion and circular motion. The tutorial uses graphs to illustrate how position, velocity, and acceleration change over time, and clarifies these concepts using derivatives to show the relationship between the graphs.

What does the phase constant 'phi' do in the context of simple harmonic motion?

• It alters the frequency of the motion.

• It changes the amplitude of the motion.

• It shifts the curve along the horizontal axis.

• It modifies the angular velocity.

How is the position of a dot in simple harmonic motion represented graphically?

• As a cosine function of angular frequency and time.

• As a sine function of angular frequency and time.

• As a quadratic function of time.

• As a linear function of time.

What is the relationship between the velocity of simple harmonic motion and the tangential velocity in circular motion?

• The velocity in simple harmonic motion is unrelated to tangential velocity.

• The velocity in simple harmonic motion is the sum of both components.

• The velocity in simple harmonic motion is the vertical component.

• The velocity in simple harmonic motion is the horizontal component.

At which positions does the velocity of simple harmonic motion reach zero?

• At the start of the motion.

• At the midpoint between maximum and minimum displacements.

• At the maximum displacement positions.

• At the equilibrium position.

What is the maximum magnitude of acceleration in simple harmonic motion?

• Amplitude divided by angular frequency.

• Amplitude minus angular frequency.

• Amplitude times angular frequency squared.

• Amplitude times angular frequency.

How can derivatives help in understanding the transition from position to velocity graphs?

• Derivatives change the frequency of the function.

• Derivatives show the maximum value of the function.

• Derivatives eliminate the phase constant.

• Derivatives represent the slope of the line, indicating velocity.

What happens to the acceleration at the equilibrium position in simple harmonic motion?

• It becomes zero.

• It reaches its maximum positive value.

• It reaches its maximum negative value.

• It equals the velocity.