The displacement of particle perforing SHM is given by x=20 cos10t. the amplitude of particle is

1. Break Down the Problem

We need to identify the amplitude of a particle performing Simple Harmonic Motion (SHM) from the given displacement equation.

2. Relevant Concepts

In SHM, the displacement of a particle can be expressed in the form: $x(t) = A \cos(\omega t + \phi)$ where:

• $A$ = amplitude
• $\omega$ = angular frequency
• $\phi$ = phase constant

3. Analysis and Detail

The given displacement equation is: $x = 20 \cos(10t)$ From this equation:

• We can see that the coefficient of the cosine function (20) represents the amplitude $A$.

4. Verify and Summarize

Thus, the amplitude of the particle is directly obtained from the equation.

Final Answer

The amplitude of the particle is $20$ units.