The formula called Hooke's first law says that:
"F"(being the restoring force) = "-k"(the spring constant) times "x" (the displacement)
the negative is only for notations sake. and yes this means they are proportional, by means of the constant.
According to the Hooke's law formula, the force is proportional to what measurement
In Hooke's law, "x" typically represents the displacement or change in position of an object from its equilibrium position. This displacement is proportional to the restoring force exerted by a spring or elastic material.
To calculate the restoring force according to Hooke's Law, you can use the formula F = -kx, where F is the restoring force, k is the spring constant, and x is the displacement from the equilibrium position. By multiplying the spring constant with the displacement, you can determine the magnitude and direction of the restoring force acting on the object.
Hooke's law states that the force needed to extend or compress a spring by a certain amount is proportional to that amount. Mathematically, it can be expressed as F = kx, where F is the force applied to the spring, k is the spring constant, and x is the displacement from the equilibrium position.
In simple harmonic motion (SHM), the force acting on an object is directly proportional to the displacement of the object from its equilibrium position. This relationship is described by Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. As the object is displaced further from equilibrium, the force acting on it increases proportionally.
According to the Hooke's law formula, the force is proportional to what measurement
In Hooke's law, "x" typically represents the displacement or change in position of an object from its equilibrium position. This displacement is proportional to the restoring force exerted by a spring or elastic material.
To calculate the restoring force according to Hooke's Law, you can use the formula F = -kx, where F is the restoring force, k is the spring constant, and x is the displacement from the equilibrium position. By multiplying the spring constant with the displacement, you can determine the magnitude and direction of the restoring force acting on the object.
Hooke's law states that the force needed to extend or compress a spring by a certain amount is proportional to that amount. Mathematically, it can be expressed as F = kx, where F is the force applied to the spring, k is the spring constant, and x is the displacement from the equilibrium position.
In simple harmonic motion (SHM), the force acting on an object is directly proportional to the displacement of the object from its equilibrium position. This relationship is described by Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. As the object is displaced further from equilibrium, the force acting on it increases proportionally.
Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium and acts in the opposite direction. In the case of a mass attached to a spring, the motion is simple harmonic because the restoring force (provided by the spring) is directly proportional to the displacement from equilibrium (Hooke's Law) and acts in the opposite direction to the displacement, resulting in a sinusoidal motion.
Hooke's law was designed to determine the restoring force of a spring, given its spring constant and the displacement of the spring from its equilibrium position. The law is written as follows: F = -kx; in which "F" is the restoring force, "k" is the spring constant, and "x" is the spring's displacement.
The force exerted by a compressed or stretched spring attached to an object is given by Hooke's Law, which states that the force is directly proportional to the displacement of the spring from its equilibrium position. The formula for this force is F = -kx, where F is the force, k is the spring constant, and x is the displacement from equilibrium.
The force is proportional to the amount of deformation or displacement from the equilibrium position of the object. This relationship is expressed in Hooke's Law as F = kx, where F is the force, k is the spring constant, and x is the displacement.
In case of HARMONIC OSCILLATOR the relation b/n FORCE AND DISPLACEMENT is LINEAR but in the case of ANHARMONIC OSCILLATOR relation b/n force and displacement is not linear.Hence this non-linearity arises the fact that the spring is not capable of exerting a restoring force that is proportional to the displacement.
The fact that the displacement of the spring (the amount it stretches) is proportional to the force.
The atoms in the metal behave like tiny springs which are being pulled apart a little bit and also laterally displaced. The greater this separation, the greater the restoring force pulling the atoms back together.