NEET Exam  >  NEET Questions  >  Formula sheet for CENTRE OF MASS .don't answe... Start Learning for Free
Formula sheet for CENTRE OF MASS .don't answer plz?
Most Upvoted Answer
Formula sheet for CENTRE OF MASS .don't answer plz?
Community Answer
Formula sheet for CENTRE OF MASS .don't answer plz?
Centre of Mass Formula Sheet

Definition of Centre of Mass
The centre of mass of a system of particles is a point that represents the average position of all the particles in the system. It is a crucial concept in physics and helps in the analysis of various physical systems.

Centre of Mass Formula
The formula to calculate the centre of mass for a system of particles is given by:

xcm = (m1x1 + m2x2 + m3x3 + ... + mnxn) / (m1 + m2 + m3 + ... + mn)

ycm = (m1y1 + m2y2 + m3y3 + ... + mnyn) / (m1 + m2 + m3 + ... + mn)

Here, xcm and ycm represent the x-coordinate and y-coordinate of the centre of mass respectively. m1, m2, m3, ..., mn are the masses of the particles, and x1, x2, x3, ..., xn and y1, y2, y3, ..., yn are their corresponding x and y coordinates.

Centre of Mass of Regular Objects
For regular objects with uniform density, the centre of mass can be calculated using the following formulas:

- For a uniform rod of length L, the centre of mass is located at L/2 from one end.
- For a uniform disc, the centre of mass is at the geometric centre of the disc.
- For a uniform triangular plate, the centre of mass is at the intersection of the medians.
- For a uniform square or rectangular plate, the centre of mass is at the intersection of the diagonals.

Centre of Mass of Continuous Objects
For continuous objects, the centre of mass can be calculated using integration. The formula is given by:

xcm = (1/M) ∫x dm

ycm = (1/M) ∫y dm

Here, M represents the total mass of the object, and the integrals are taken over the entire object.

Conclusion
The centre of mass is an important concept in physics and helps in understanding the motion and stability of objects.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

Formula sheet for CENTRE OF MASS .don't answer plz?
Question Description
Formula sheet for CENTRE OF MASS .don't answer plz? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Formula sheet for CENTRE OF MASS .don't answer plz? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Formula sheet for CENTRE OF MASS .don't answer plz?.
Solutions for Formula sheet for CENTRE OF MASS .don't answer plz? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Formula sheet for CENTRE OF MASS .don't answer plz? defined & explained in the simplest way possible. Besides giving the explanation of Formula sheet for CENTRE OF MASS .don't answer plz?, a detailed solution for Formula sheet for CENTRE OF MASS .don't answer plz? has been provided alongside types of Formula sheet for CENTRE OF MASS .don't answer plz? theory, EduRev gives you an ample number of questions to practice Formula sheet for CENTRE OF MASS .don't answer plz? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev