NEET Exam > NEET Questions > Three identical spheres each of mass 1kg are ...
Start Learning for Free
Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is?
Verified Answer
Three identical spheres each of mass 1kg are placed touching each othe...
This question is part of UPSC exam. View all NEET courses
Most Upvoted Answer
Three identical spheres each of mass 1kg are placed touching each othe...
Problem Statement:
Three identical spheres, each of mass 1kg, are placed touching each other with their centers on a straight line. Their centers are marked as P, Q, and R, respectively. The task is to determine the distance of the center of mass of the system from point P.
Solution:
To find the distance of the center of mass of the system from point P, we need to first calculate the individual distances of each sphere's center of mass from point P and then take the average.
Step 1: Finding the distance of the center of mass of each sphere from point P:
Since the spheres are identical and have the same mass, the center of mass of each sphere will be located at its geometric center. Let's assume the radius of each sphere to be r.
1. The center of mass of sphere P is at point P itself, so the distance is 0.
2. The center of mass of sphere Q will be at a distance of r from point P.
3. The center of mass of sphere R will be at a distance of 2r from point P.
Step 2: Calculating the average distance:
To find the average distance, we need to add up the distances of the center of mass of each sphere from point P and then divide by the total number of spheres (which is 3 in this case).
Average distance = (0 + r + 2r) / 3
Simplifying the expression, we get:
Average distance = (3r) / 3
Therefore, the average distance of the center of mass of the system from point P is equal to the radius of each sphere, which is r.
Conclusion:
The distance of the center of mass of the system from point P is equal to the radius of each sphere.
Three identical spheres, each of mass 1kg, are placed touching each other with their centers on a straight line. Their centers are marked as P, Q, and R, respectively. The task is to determine the distance of the center of mass of the system from point P.
Solution:
To find the distance of the center of mass of the system from point P, we need to first calculate the individual distances of each sphere's center of mass from point P and then take the average.
Step 1: Finding the distance of the center of mass of each sphere from point P:
Since the spheres are identical and have the same mass, the center of mass of each sphere will be located at its geometric center. Let's assume the radius of each sphere to be r.
1. The center of mass of sphere P is at point P itself, so the distance is 0.
2. The center of mass of sphere Q will be at a distance of r from point P.
3. The center of mass of sphere R will be at a distance of 2r from point P.
Step 2: Calculating the average distance:
To find the average distance, we need to add up the distances of the center of mass of each sphere from point P and then divide by the total number of spheres (which is 3 in this case).
Average distance = (0 + r + 2r) / 3
Simplifying the expression, we get:
Average distance = (3r) / 3
Therefore, the average distance of the center of mass of the system from point P is equal to the radius of each sphere, which is r.
Conclusion:
The distance of the center of mass of the system from point P is equal to the radius of each sphere.
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
|
|
Similar NEET Doubts
Top Courses for NEETView all
Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is?
Question Description
Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is?.
Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is?.
Solutions for Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? 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 Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? defined & explained in the simplest way possible. Besides giving the explanation of
Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is?, a detailed solution for Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? has been provided alongside types of Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? theory, EduRev gives you an
ample number of questions to practice Three identical spheres each of mass 1kg are placed touching each other with their centres on a straight line .Their centre is marked as P,Q,R resp. The distance of centre of mass of the system from P is? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
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