Mastering Simple Harmonic Motion Through Real-World Problem Solving

This video tutorial covers solving basic simple harmonic motion problems in physics. It includes calculating the period, frequency, and angular frequency of a horizontal spring oscillator, determining the spring constant and frequency of an oscillator, exploring the relationship between frequency and spring constant, and calculating amplitude, frequency, period, and spring constant using a cosine equation. The video provides formulas and step-by-step solutions to enhance understanding of simple harmonic motion concepts.

What is the formula to calculate the period of a simple harmonic oscillator?

• Frequency divided by 2π

• 1 divided by the frequency

• 2π times the square root of mass divided by the spring constant

• 2π times the square root of the spring constant divided by mass

How is the frequency of a simple harmonic oscillator related to its period?

• Frequency is the reciprocal of the period

• Frequency is twice the period

• Frequency is the square of the period

• Frequency is half the period

According to Hooke's Law, how do you calculate the spring constant?

• Force divided by mass

• Force divided by displacement

• Displacement divided by force

• Mass times acceleration

What is the frequency of an oscillator if the spring constant is 1428.6 N/m and the mass is 0.5 kg?

• 8.51 Hz

• 3.18 Hz

• 50 Hz

• 25 Hz

If the spring constant of a spring is quadrupled, what happens to the frequency of vibration?

• It remains the same

• It quadruples

• It halves

• It doubles

How can you express the relationship between two frequencies when the spring constants are different?

• f2/f1 = k2/k1

• f2/f1 = k1/k2

• f2/f1 = (k2/k1)^2

• f2/f1 = sqrt(k2/k1)

In the equation x = 0.65 cos(7.35t), what does 0.65 represent?

• Phase angle

• Angular frequency

• Amplitude

• Frequency

What is the angular frequency in the equation x = 0.65 cos(7.35t)?

• 2π radians per second

• 0.65 radians per second

• 1.17 radians per second

• 7.35 radians per second

How do you calculate the spring constant from the mass and angular frequency?

• Mass divided by the square of angular frequency

• Mass times angular frequency

• Mass divided by angular frequency

• Mass times the square of angular frequency

What is the period of a system if its frequency is 1.17 Hz?

• 2.0 seconds

• 1.17 seconds

• 0.5 seconds

• 0.855 seconds