Understanding the given function

- The given function f(t) = (sin wt - cos wt) represents the simple harmonic motion (SHM) of a particle.
- This function describes the displacement of the particle at time t.

Finding the amplitude of oscillation

- The amplitude of oscillation in SHM is the maximum displacement of the particle from its equilibrium position.
- In the given function f(t) = (sin wt - cos wt), the amplitude can be determined by finding the maximum value of the function.
- To find the maximum value, we can rewrite the function as f(t) = sqrt(2) * sin(wt - 45°).
- The maximum value of sin function is 1, so the maximum value of f(t) is sqrt(2).
- Therefore, the amplitude of oscillation is sqrt(2) units.

Explanation

- The function f(t) = (sin wt - cos wt) represents the displacement of a particle undergoing SHM.
- By analyzing the function and understanding the properties of sine and cosine functions, we can determine the amplitude of oscillation.
- The amplitude is an important parameter in SHM as it gives us the maximum displacement of the particle from its equilibrium position.
- In this case, the amplitude is found to be sqrt(2) units.
- Understanding and calculating such parameters help in analyzing and predicting the motion of particles in various physical systems.