A particle moving along the x-axis executes simple harmonic motion. The force acting on it is given by (where A and K are positive constants):
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A particle moving along the x-axis executes simple harmonic motion. The force acting on it is given by (where A and K are positive constants):

G1 Physics · Accepted Answer

Step 1: A force produces SHM about x = 0 if it is restoring and directly proportional to displacement. Step 2: The required form is F = −kx, where k > 0. Step 3: For positive A and K, F = −AKx has stiffness AK and always points opposite to displacement. Step 4: The other functions do not give a linear restoring force about the origin. Final answer: (A) −AKx.