How does mass affect the stretch of a spring?

Period of a Mass on a Spring Their greater inertia means that it takes more time to complete a cycle. And springs with a greater spring constant (stiffer springs) have a smaller period; masses attached to these springs take less time to complete a cycle.

Does Hooke’s law apply to stretch Springs?

Understood in terms of Hooke’s Law, this restoring force is generally proportional to the amount of “stretch” experienced. In addition to governing the behavior of springs, Hooke’s Law also applies in many other situations where an elastic body is deformed.

What is mass in Hooke’s Law?

W = kx. W is the weight of the added mass. Therefore, the spring constant k is the slope of the straight line W versus x plot. Weight is mass times the acceleration of gravity or W = mg where g is about 980 cm/sec2.

What is a mass spring system?

A spring-mass system in simple terms can be described as a spring sytem where a block is hung or attached at the free end of the spring. The spring-mass system can usually be used to find the period of any object performing the simple harmonic motion.

How do you find the mass constant and stretch of a spring?

As per the Hooke’s Law, if spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant.

When we get the effective mass of a spring?

The effective mass of the spring in a spring-mass system when using an ideal spring of uniform linear density is 1/3 of the mass of the spring and is independent of the direction of the spring-mass system (i.e., horizontal, vertical, and oblique systems all have the same effective mass).

What is Hooke’s law for a spring?

Mathematically, Hooke’s law states that the applied force F equals a constant k times the displacement or change in length x, or F = kx. The value of k depends not only on the kind of elastic material under consideration but also on its dimensions and shape.

What is spring mass system?

What is Spring Mass System? A spring-mass system in simple terms can be described as a spring sytem where a block is hung or attached at the free end of the spring. The spring-mass system can usually be used to find the period of any object performing the simple harmonic motion.