Center of mass calculator

A PHP Error was encountered

Severity: Warning

Message: count(): Parameter must be an array or an object that implements Countable

Filename: controllers/calculator.php

Line Number: 37

Center of mass is the point in space of an extended body or of collection of objects of a system, at which the entire mass is concentrated. Center of mass is the point at which entire mass is distributed only at that one point and all the external forces exert their force. Center of mass calculator is the easy tool which can quickly find the center of mass of any object.

Example 1: Two objects of masses 10kg and 30 kg are placed at a distance of 5m form each other. Find their center of mass.

Formula for Center of mass, x_c = (m₁x₁ + m₂x₂)/ (m₁ + m₂)

In the given question, we can say that:

m₁ = 10kg, m₂ = 30kg, x₁ = 0m and x₂ = 5m

x_c = (10 * 0 + 30 * 5)/ (10 + 30)

x_c = 150/ (40)

x_c = 3.75m

Example 2: Two people of masses 50g and 70 kg are sitting on each corner of the boat 20m long respectively. What is their center of mass?

Formula for Center of mass, x_c = (m₁x₁ + m₂x₂)/ (m₁ + m₂)

In the given question, we can say that:

m₁ = 50kg, m₂ = 70kg, x₁ = 0m and x₂ = 20m

x_c = (50 * 0 + 70 * 20)/ (50 + 70)

x_c = 1400/ 120

x_c = 11.67m

I just want you to know how great Brinda has been in tutoring me on probability. She is patient and very knowledgeable in all concepts. I look forward to many more sessions with her. I appreciate her help and the great work that Tutor Pace is doing.

- -
- 9th Grade, from Barbara

Thank you for your excellent tutoring services. It has surely made a lot of difference in our child's academic performance.

- -
- 9th Grader, from Venkat (father of Sai)

I have enjoyed my session with Aparna and it was helpful. I will hope to see her as my Math tutor in future sessions as well.

- -
- 10th Grade, from Senia Revayo

Your tutor has been such an inspiration to me as I have difficulty getting some of the physics concepts down and truly understanding them. She takes the time to fully explain each and every aspect of any problem I might ask for help and always with encouragement and humor.

- -
- 9th Grader, from Kansas

A PHP Error was encountered

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL

HAVE A QUESTION? Chat With Our Tutoring Experts Now