The Displacement of a Body Moving with Simple Harmonic Motion $\pi$

question 77

Multiple Choice

The displacement of a body moving with simple harmonic motion is given by the equation y = A sin2 $\pi$ t + $\pi$ ) . After one-quarter of a period has elapsed since t = 0, which of the following statements is correct?

• A) The total energy of the system is equal to zero.
• B) The kinetic energy is a maximum.
• C) The potential energy is a maximum.
• D) The potential and kinetic energy are equal to each other.
• E) Both kinetic and potential energies are at their maximum values.

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Definitions:

Vertices

Vertices refer to the corners or points where two or more edges, lines, or sides meet in geometric shapes or graphs.

Co-vertices

In an ellipse, co-vertices are the endpoints of the minor axis, perpendicular to the major axis.

Standard Form

For equations, this refers to a method of writing quadratic equations as Ax^2 + Bx + C = 0, where A, B, and C are coefficients and A is not zero, ensuring a uniform structure for easier analysis.

Minor Axis

The shortest diameter of an ellipse, which passes through its center and is perpendicular to the major axis.