Question

The displacement equation of a particle is

x = 3 sin 2t + 4cos 2t The amplitude & maximum velocity will be respectively –

• A. 5, 10
• B. 3, 2
• C. 4, 2
• D. 3, 4

Answer 1

Answer: (A)

5, 10

Answer 2

x = 3 sin 2t + 4cos 2t

= 5 sin (2t + p/4)

So A = 5 & v_max. =

Aw = 5 × 2 = 10