Question

The displacement y of a particle executing periodic motion is given by y = 4cos²sin (1000 t) this expression may be considered to be a result of the superposition of …independent harmonic motions –

• A. Two
• B. Three
• C. Four
• D. Five

Answer 1

Answer: (B)

Three

Answer 2

y = 4 cos² sin (1000 t)

= 2{1 + cos t} sin (1000 t)

y = 2 sin (1000 t) + 2 cos t sin 1000 t

= 2 sin (1000 t) + sin (999 t) + sin (1001 t)

Ž it is the super of three