Wave Properties and String Dynamics

The video tutorial explains a string system with oscillators and pulleys, focusing on fundamental frequency and standing waves. It covers the relationship between wave velocity, tension, and mass density, and analyzes factors affecting different fundamental frequencies. The tutorial also discusses graphing frequency as a function of inverse mass density and explores the second harmonic and points of greatest vertical speed.

What is the role of the block in the string-pulley system?

• It provides tension to the string.

• It increases the mass of the string.

• It reduces friction in the pulley.

• It changes the frequency of the oscillator.

How is the fundamental frequency of a string defined?

• The highest frequency that produces a standing wave.

• The lowest frequency that produces a standing wave.

• The frequency that produces the shortest wavelength.

• The frequency that stops the string from vibrating.

What happens to wave velocity if the tension in the string increases?

• The velocity decreases.

• The velocity remains the same.

• The velocity increases.

• The velocity becomes zero.

Which factor is inversely related to the velocity of a wave on a string?

• Frequency of the wave

• Tension in the string

• Linear mass density

• Length of the string

What is the effect of increasing the linear mass density on the wave velocity?

• Increases the velocity

• Decreases the velocity

• Has no effect

• Doubles the velocity

Why do the four strings have different fundamental frequencies?

• They have different lengths.

• They have different tensions.

• They have different linear mass densities.

• They have different oscillators.

What is the relationship between frequency and linear mass density?

• Directly proportional

• Inversely proportional

• Exponentially related

• Unrelated

In the second harmonic, where do the points of greatest movement occur?

• At the midpoint

• At the nodes

• At the antinodes

• At the ends of the string

What is the wavelength of the second harmonic compared to the string length?

• Equal to the string length

• Twice the string length

• Three times the string length

• Half the string length

How does the second harmonic differ from the fundamental frequency?

• It does not produce a standing wave.

• It has a longer wavelength.

• It has a lower frequency.

• It has a higher frequency.