JEE Advanced2009PhysicsOscillationsActual
The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t= 4 3 ~s is
Options
- A3 32 ^2 cms ⁻²
- B- ^2 32 cms ⁻²
- C^2 32 cms ⁻²
- D- 3 32 ^2 cms ⁻²
Correct answer
D. - 3 32 ^2 cms ⁻²
Step-by-step solution
T=8 ~s , = 2 T = ( 4 ) rads ⁻¹ aligned x & =A t a=- ^2 x & =- ( ^2 16 ) ( 4 t ) aligned Substituting t= 4 3 ~s , we get a=- ( 3 32 ^2 ) cms ⁻²