PYQ NEET- Examples Of Simple Harmonic Motion

2016:

The kinetic energy of a particle executing SHM is given by:

K = ½ mω²x²

where m is the mass of the particle, ω is the angular frequency of the oscillation, and x is the displacement of the particle from the equilibrium position.

The potential energy of a particle executing SHM is given by:

U = ½ mω²A² - ½ mω²x²

where A is the amplitude of the oscillation.

When the kinetic energy of the particle is equal to its potential energy, we have:

K = U

Substituting the expressions for K and U into this equation, we get:

½ mω²A² = ½ mω²x² + ½ mω²x²

Collecting like terms, we get:

x² = A²

Therefore, the displacement of the particle from the equilibrium position at which the kinetic energy is equal to the potential energy is equal to $\frac{A}{\sqrt{2}}$.

2017: