Class 11 Exam > Class 11 Questions > four identical spheres of radius 10cm and mas...
Start Learning for Free
four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere
Most Upvoted Answer
four identical spheres of radius 10cm and mass 10kg are placed on a ho...
Calculating the Center of Mass of the Spheres
To find the distance of the center of mass from the center of one of the spheres, we first need to determine the position of the center of mass of the system of four spheres.
- Since the spheres are identical and symmetrically placed, the center of mass of the system will lie at the center of the square formed by the spheres.
- The center of mass of the square formed by the spheres can be found by taking the average of the x-coordinates and y-coordinates of the centers of the spheres.
- The x-coordinate of the center of mass will be the average of the x-coordinates of the four spheres, which is 0 since the spheres are symmetrically placed.
- The y-coordinate of the center of mass will be the average of the y-coordinates of the four spheres, which is also 0.
- Therefore, the center of mass of the system of four spheres lies at the center of the square formed by the spheres.
Calculating the Distance of the Center of Mass from the Center of One Sphere
- The distance of the center of mass from the center of one of the spheres can be calculated using the distance formula.
- Since the center of mass lies at the center of the square formed by the spheres, the distance of the center of mass from the center of one of the spheres will be half the diagonal of the square.
- The diagonal of the square formed by the spheres can be calculated using the Pythagorean theorem, which gives us a diagonal of 28.28 cm.
- Therefore, the distance of the center of mass from the center of one of the spheres is half of the diagonal, which is 14.14 cm.
In conclusion, the center of mass of the system of four spheres lies at the center of the square formed by the spheres, and the distance of the center of mass from the center of one sphere is 14.14 cm.
To find the distance of the center of mass from the center of one of the spheres, we first need to determine the position of the center of mass of the system of four spheres.
- Since the spheres are identical and symmetrically placed, the center of mass of the system will lie at the center of the square formed by the spheres.
- The center of mass of the square formed by the spheres can be found by taking the average of the x-coordinates and y-coordinates of the centers of the spheres.
- The x-coordinate of the center of mass will be the average of the x-coordinates of the four spheres, which is 0 since the spheres are symmetrically placed.
- The y-coordinate of the center of mass will be the average of the y-coordinates of the four spheres, which is also 0.
- Therefore, the center of mass of the system of four spheres lies at the center of the square formed by the spheres.
Calculating the Distance of the Center of Mass from the Center of One Sphere
- The distance of the center of mass from the center of one of the spheres can be calculated using the distance formula.
- Since the center of mass lies at the center of the square formed by the spheres, the distance of the center of mass from the center of one of the spheres will be half the diagonal of the square.
- The diagonal of the square formed by the spheres can be calculated using the Pythagorean theorem, which gives us a diagonal of 28.28 cm.
- Therefore, the distance of the center of mass from the center of one of the spheres is half of the diagonal, which is 14.14 cm.
In conclusion, the center of mass of the system of four spheres lies at the center of the square formed by the spheres, and the distance of the center of mass from the center of one sphere is 14.14 cm.
Community Answer
four identical spheres of radius 10cm and mass 10kg are placed on a ho...
14.32m
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Top Courses for Class 11View all
four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere
Question Description
four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere.
four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere.
Solutions for four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere defined & explained in the simplest way possible. Besides giving the explanation of
four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere, a detailed solution for four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere has been provided alongside types of four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere theory, EduRev gives you an
ample number of questions to practice four identical spheres of radius 10cm and mass 10kg are placed on a horizontal.surface touching one another so that their centres are located at the corners of square of side 20cm .what is the distance of their centre of mass from centre of sphere tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup