Question

The displacement of a particle varies according to the relation x= 3 sin 100t + 8cos^2 50t. Which of the following is INCORRECT about this motion .
(1) the motion of the particle is SHM
(2) the amplitude of the system of the particle is 5 units.
(3) amplitude of the resultant SHM is √73 units
(4) the maximum displacement of the particle from the origin is 9 units .​

Answer 1

Answer is option (3.) . It is incorrect

In search of brainliest answer

Answer 2

The incorrect option is -

(3) amplitude of the resultant SHM is √73 units

The given displacement equation of particle is:

• x= 3 sin 100t + 8cos² 50t
• This can be simplified to be:

1. x = 3 sin 100t + 4 (cos 100t + 1)
2. x = 3 sin 100t + 4 cos 100t + 4

• This is of the form x = A1 sin ωt + A2 cos ωt + c
• The resultant amplitude of the particle being -

1. A = √(A1² + A2²)
2. A = √(3² + 4²)
3. A = 5 units