What will be the spring constant of each part if the spring of force constant k is divided in to n equal parts?

Statement I : The spring constant of a spring is k. When it is divided into n equal parts, then spring constant of each piece is k/n. Statement II : The spring constant is independent of material used for the spring.

What is the force constant k of the spring?

The proportional constant k is called the spring constant. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.

When a spring of spring constant k is cut in two equal halves the spring constant of each part becomes?

When the spring is cut into two equal halves, the spring constant doubles. We know that force is directly proportional to the length. Mathematically, this is represented as: F = kl where k is the spring constant.

When a spring is cut into two parts then for every individual part the stiffness becomes?

Hence, when a spring cut into two parts then for every individual part the stiffness becomes double.

What will be the equivalent spring constant when two springs of different force constant are joined in series?

So that the springs are extended and the total extension of the combination is the sum of elongation of each spring. Alternatively, the direction of force could be reversed so that the springs are compressed. This system of two springs in series is equivalent to a single spring, of spring constant k .

What are constant forces?

A constant force is any force acting on an object at an unchanging rate.

What are spring forces?

The spring force is the force exerted by a compressed or stretched spring upon any object that is attached to it. An object that compresses or stretches a spring is always acted upon by a force that restores the object to its rest or equilibrium position.

When a spring with spring constant k is cut into three equal parts the force constant of each of the part would be?

Since spring is cut into 3 equal parts. ∴ Spring constant of each part becomes 3k.

When a spring of spring constant k is cut into two equal parts then spring constant of individual part becomes K What is the relation between K and K?

If the spring is cut into half and the same force F is applied to the half spring, the distance it should stretch is X/2, half of the original deformation. From this the new spring constant, K2 becomes K2= F/(X/2) or 2* (F/X) which is double of K.

When a helical spring is cut into two halves the stiffness of each spring will be Mcq?

Given: Since spring is the same properties and diameter will not change, only the length of spring is reduced. Hence the stiffness of the resulting spring will be double of initial.

Which spring is used in mechanical toys?

Torsion springs wound as concentric spirals from flat stock are sometimes called spring motors because of their use in mechanical watches, windup toys, etc. Drawbar, volute, and garter springs all rely on the mechanism of the coil spring to function.

How do you find the equivalent spring constant?

The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring’s length.

What is a spring of force constant k?

A spring of force constant k is cut into three equal parts. What is the force constant of each part? A spring of force constant k is cut into three equal parts. What is the force constant of each part?

What is the spring constant of elongation in spring BP?

Assume that elongation in spring BP is 5 c m and its spring constant is 1000 N /m (g =10 m / s 2) The length of a spring is l and its spring constant is k. It is cut into two parts of length l 1 ​ and l 2 ​ and l 1 ​ = n l 2 ​. The spring constant k 1 ​ of the part l 1 ​ will be

What is the formula of spring constant in Hooke’s law?

According to Hooke’s law, the force required to compress or extend a spring is directly proportional to the distance it is stretched. The formula of spring constant is given as: Where, F is the restoring force of the spring directed towards the equilibrium. k is the spring constant in N.m -1.

What is the restoring force of a spring?

If a force F is considered that stretches the spring so that it displaces the equilibrium position by x. The negative sign shows that the restoring force is opposite to the displacement It is expressed in Newton per meter (N/m). Example 1 A spring with load 5 Kg is stretched by 40 cm. Determine its spring constant.