Which one of the following equations of motion represents simple harmonic motion?
Acceleration = -k(x +a)
Acceleration = k(x + a)
Acceleration = kx
Acceleration = -k0x + k1x2
where k, k0, k1 and a are all positive.
As discuss
Equation of S.H.M. -
- wherein
where
In S.H.M acceleration is directly proportional to the displacement from the mean position
Also the acceleration is in the opposite direction of displacement
Option 1)
Acceleration = -k(x +a)
This solution is correct
Option 2)
Acceleration = k(x + a)
This solution is incorrect
Option 3)
Acceleration = kx
This solution is incorrect
Option 4)
Acceleration = -k0x + k1x2
where k, k0, k1 and a are all positive.
This solution is incorrect