Question

Which of the following expressions does not represent simple harmonic motion?

• A. x = A cos $\omega$t + B sin wt
• B. x = A cos ($\omega$t + $\alpha$)
• C. x = B sin ($\omega$t + $\beta$)
• D. x = A sin $\omega$t cos2$\omega$t

Answer 1

Answer: (D)

x = A sin $\omega$t cos2$\omega$t

Answer 2

simple harmonic motion is represented by a sine function or a cosine function or a linear combination of both hence option (1), (2) and (3) represent simple harmonic motion while option (4) is a product of the two function (sine and cosine) does not represent a simple harmonic motion.