Question

Which one of the following does not represent simple harmonic motion? Here y denotes the instantaneous displacement. Here, A and B are constants and co is the angular frequency.

Options

• y = A sin ωt cos ωt 

• y = A sin ωt + B cos ωt 

• y = A sin 2 ωt

• y = A sin² ωt cos² ωt  

Answer 1

y = A sin² ωt cos² ωt  

Explanation - 

A SHM can be expressed using the sine or cosine functions, or a linear mixture of the two. y = A equation The product of two functions is sin² ωt cos² ωt. As a result, it does not depict basic harmonic motion.