The video explores the swaying issue of the Millennium Bridge, linking it to oscillations and simple harmonic motion. It explains the physics behind oscillations using a ball and spring model, discussing kinetic and potential energy. The video compares simple harmonic motion to uniform circular motion, providing mathematical insights into period, frequency, and velocity. It also covers resonance and its impact on the bridge's oscillations, concluding with a summary of key learnings.

What was the main issue with the Millennium Bridge that led to its closure?

• It was too narrow for pedestrians.

• It swayed excessively due to pedestrian footsteps.

• It was not visually appealing.

• It was too expensive to maintain.

In simple harmonic motion, what happens to the kinetic energy of the ball at the turning points?

• It equals the potential energy.

• It doubles.

• It reaches its maximum value.

• It becomes zero.

Which equation represents the maximum velocity of a ball in simple harmonic motion?

• Spring constant times mass divided by amplitude.

• Amplitude divided by the square root of the spring constant times mass.

• Amplitude times the square root of the spring constant divided by mass.

• Mass times the square root of the spring constant divided by amplitude.

How is simple harmonic motion similar to uniform circular motion?

• Both involve a change in mass.

• Both can be described using similar mathematical equations.

• Both have a constant speed.

• Both involve motion in two dimensions.

What is the relationship between period and frequency in simple harmonic motion?

• Frequency is half the period.

• Period is twice the frequency.

• Frequency is the inverse of period.

• Period is the square of frequency.

What role did resonance play in the swaying of the Millennium Bridge?

• It increased the amplitude of oscillations.

• It stabilized the bridge.

• It decreased the amplitude of oscillations.

• It had no effect on the bridge.

How does the position of an object in simple harmonic motion change over time?

• It moves randomly.

• It follows a wave-like pattern.

• It follows a linear path.

• It remains constant.