The negative sign in "F = -k.x" indicates that _.
Correct answer: A. F is directed opposite to x
- A. F is directed opposite to x
- B. F is directed along x
- C. F is always equal to x
- D. None of these
Explanation
In the equation F=−kx, where F represents the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position, the negative sign indicates that the force F is directed opposite to the displacement x. This means that when the displacement x is positive (away from the equilibrium position), the force F exerted by the spring is negative (directed towards the equilibrium position), and vice versa. Therefore, option A) correctly interprets the meaning of the negative sign in the equation.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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