Oscillation Frequency and Spring Dynamics

The video tutorial explains the dynamics of a mass on a spring, focusing on amplitude and frequency. It highlights that while amplitude can vary, the frequency remains constant, known as the natural frequency. The tutorial introduces formulas to calculate this frequency and demonstrates how changes in spring constant and mass affect the motion. The concept of natural frequency is further explored with examples, emphasizing its role in oscillatory systems.

What happens to the frequency of a mass on a spring when the amplitude is increased?

• The frequency increases.

• The frequency decreases.

• The frequency remains the same.

• The frequency becomes zero.

What is the term used to describe the frequency at which an oscillator naturally oscillates?

• Resonant frequency

• Damped frequency

• Natural frequency

• Forced frequency

Which of the following is a formula for the natural frequency of a simple harmonic oscillator?

• f = 2π√(K/m)

• f = 1/(2π)√(K/m)

• f = 2π√(m/K)

• f = 1/(2π)√(m/K)

In the formula for natural frequency, what does 'K' represent?

• Mass of the object

• Amplitude of motion

• Spring constant

• Gravitational force

How does doubling the spring constant affect the frequency of oscillation?

• It increases the frequency by a factor of √2.

• It halves the frequency.

• It decreases the frequency by a factor of √2.

• It doubles the frequency.

What effect does increasing the mass have on the frequency of oscillation?

• It increases the frequency.

• It doubles the frequency.

• It decreases the frequency.

• It has no effect on the frequency.

What is the relationship between the spring constant and the speed of oscillation?

• Inversely proportional

• No relationship

• Directly proportional

• Proportional to the square root

If the mass is increased, what happens to the period of oscillation?

• The period increases.

• The period decreases.

• The period remains the same.

• The period becomes zero.

What is the effect of adding an identical spring to the system?

• It increases the frequency.

• It doubles the frequency.

• It has no effect on the frequency.

• It decreases the frequency.

What is the angular frequency represented by in the context of oscillations?

• Alpha

• Beta

• Omega

• Gamma