Purchase Solution

# Vertical springs in series or parallel

Not what you're looking for?

Prove that when two springs are attached one at the end of the other, the coefficient of the final spring becomes 1 / (1/k1 + 1/k2 ) where k1 and k2 are the coefficient of the two individual springs, the direction of the springs is VERTICAL not horizontal. Then consider two systems of springs, one in which a mass m is attached to the end of two springs which are placed one at the end of the other, another in which m is attached to the two springs in parallel (each spring has coefficient respectively k1 and k2). Find the frequency of oscillations of mass m in the two cases.

##### Solution Summary

This solution is provided in 180 words. It uses equations for total displacement to find the equivalent coefficient and frequency of oscillations in the system.

##### Solution Preview

1. Two springs in Series (attached one at the end of the other):

F = Keq*x where Keq = Equivalent Coefficient

Apply a force of F to the springs in series.

F1 = k1*x1
F2 = ...

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

##### Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.