JEE Main20249 Apr 2024Morning ShiftPhysicsOscillationsActual
The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of 4 ~m , 2 ~ms ⁻¹ and 16 ~ms ⁻² at a certain instant. The amplitude of the motion is x , ~m where x is ________
Correct answer
0
Step-by-step solution
aligned & x=4 ~m , V=2 ~m / s , a =16 ~m / s ^2 & | a |= ^2 x & 16= ^2(4) & =2 rad / s & v = A ^2- x ^2 & A= v ^2 ^2 + x ^2 A = 4 4 +16 & A= 17 ~m aligned