AP EAMCET201921 Apr 2019Morning ShiftPhysicsOscillationsActual
For a particle executing simple harmonic motion, the displacement-time (x-t) graph is as shown in the figure. The acceleration of the particle at t= 4 3 ~s is
Options
- A- 3 32 ^2 ~cm ~s ⁻²
- B32 3 ^2 ~cm ~s ⁻²
- C+ 3 32 cm s ⁻²
- D+ 32 3 cm s ⁻²
Correct answer
A. - 3 32 ^2 ~cm ~s ⁻²
Step-by-step solution
The displacement-time graph shown in the figure is a sine wave, so the equation of displacement, x=1 t Here, T=8 ~s (for a complete cycle) Hence, = 2 T = 2 8 = 4 rad / s and acceleration in SHM, aligned & =- ^2 a t & =- ( 4 )^2 1 ( 4 4 3 ) & =- ^2 16 3 2 =- ^2 3 32 ~cm ~s ⁻² aligned Hence, the correct option is (a).