Q10.17: which of the following statements concerning simple harmonic motion is false? a : a restoring force acts on an object in simple harmonic motion that is directed in the same direction as the object's displacement. b : a restoring force acts on the object that is proportional to the object's displacement from its equilibrium position. c : during simple harmonic motion, the net force on the object is zero when it is at its equilibrium position. d : the displacement versus time graph for an object in simple harmonic motion resembles the sine or cosine function. e : the amplitude of the motion of an object in simple harmonic motion is the maximum distance the object moves from its equilibrium position.

A : A restoring force acts on an object in simple harmonic motion that is directed in the same direction as the object's displacement.

Explanation:

Statement A is the false one:

A : A restoring force acts on an object in simple harmonic motion that is directed in the same direction as the object's displacement. --> FALSE. The restoring force in the simple harmonic motion is given by

where

k is the spring constant

x is the displacement of the system, measured with respect to the equilibrium position

As we can notice from the equation, there is a negative sign in front of (kx): this means that the force, F, and the displacement, x, have opposite directions. In fact, the restoring force of a simple harmonic oscillator always acts to restore the equilibrium position, therefore it acts in the opposite direction as that of the displacement.

in physics zero. in muscle fatigue could be high