Oscillating Systems and Simple Harmonic Motion

The video tutorial introduces the concept of vibrations and their importance in understanding waves. It explores simple harmonic motion using a mass-spring system, discussing equilibrium, forces, and Hooke's Law. The tutorial covers graphing displacement, velocity, and energy, emphasizing sinusoidal patterns. It concludes with an explanation of period and frequency, providing examples and calculations to illustrate these concepts.

What type of motion is demonstrated by a mass on a spring?

• Random motion

• Circular motion

• Simple harmonic motion

• Linear motion

What is the equilibrium position in a mass-spring system?

• The point where the mass is at its minimum displacement

• The point where the mass is at rest under the influence of gravity

• The point where the mass is at its maximum displacement

• The point where the mass is moving fastest

According to Hooke's Law, what is the relationship between force and displacement in a spring?

• Force is independent of displacement

• Force is directly proportional to displacement

• Force is equal to the square of displacement

• Force is inversely proportional to displacement

In simple harmonic motion, when is the velocity of the mass at its maximum?

• At the equilibrium position

• At the maximum displacement

• At the minimum displacement

• At the midpoint between maximum and minimum displacement

What happens to potential energy when the displacement in simple harmonic motion is zero?

• Potential energy is at its maximum

• Potential energy is zero

• Potential energy is equal to kinetic energy

• Potential energy is negative

What does the acceleration vs. displacement graph look like in simple harmonic motion?

• A vertical line

• A horizontal line

• A diagonal line

• A circular path

How is the period of an oscillating system defined?

• The time taken to reach maximum displacement

• The time taken for one complete cycle

• The time taken to return to the starting point

• The time taken for two complete cycles