Which of the following equation does not represent a SHM?

Step-by-step solution

(a) ( t+ t) is a periodic function. It can also be written as aligned & = 2 2 t+ 2 2 t & = 2 ( 4 t+ 4 t ) & = 2 ( t+ 4 )= 2 ( t+ 4 +2 ) & = 2 [ (t+ 2 )+ 4 ] aligned This represent a simple harmonic function with period 2 and phase 4 . be written as aligned & = 2 [ t 4 - t 4 ] & = 2 ( t- 4 )= 2 [ (t+ 2 )- 4 ] aligned This represent a simple harmonic function with period 2 . period 2 . (c) F(t)=1- 2 t This is a non periodic function. (d) F(t)= t+ ( t+ ) also represent a simple harmonic function.