NEET Exam > NEET Questions > A light string ABCDE whose midpoint is C pass...
Start Learning for Free
A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest?
Most Upvoted Answer
A light string ABCDE whose midpoint is C passes through smooth rings B...
Community Answer
A light string ABCDE whose midpoint is C passes through smooth rings B...
Problem: A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest?
Solution:
To solve this problem, we need to understand the concept of potential energy and kinetic energy. The total energy of the system is the sum of potential energy and kinetic energy. At the instant when C comes to rest, all its kinetic energy is converted into potential energy.
Step 1: Find the initial potential energy of the system
The initial potential energy of the system is given by U = 3mg(a/2) = 3mga/2, where m is the mass of each point A, C, and E.
Step 2: Find the initial kinetic energy of the system
The initial kinetic energy of the system is zero because C is held at rest.
Step 3: Find the potential energy of the system when C comes to rest
When C comes to rest, all its kinetic energy is converted into potential energy. Let the distance OC be x. At this instant, the potential energy of the system is U' = 2mg(a-x) + mgx = 2mga + mgx - 2mgx = 2mga - mgx.
Step 4: Equate the initial and final potential energies
Since energy is conserved, we can equate the initial potential energy and the final potential energy. Therefore, 3mga/2 = 2mga - mgx, which gives us x = a/2.
Answer: The distance OC when C comes to instantaneous rest is a/2.
Solution:
To solve this problem, we need to understand the concept of potential energy and kinetic energy. The total energy of the system is the sum of potential energy and kinetic energy. At the instant when C comes to rest, all its kinetic energy is converted into potential energy.
Step 1: Find the initial potential energy of the system
The initial potential energy of the system is given by U = 3mg(a/2) = 3mga/2, where m is the mass of each point A, C, and E.
Step 2: Find the initial kinetic energy of the system
The initial kinetic energy of the system is zero because C is held at rest.
Step 3: Find the potential energy of the system when C comes to rest
When C comes to rest, all its kinetic energy is converted into potential energy. Let the distance OC be x. At this instant, the potential energy of the system is U' = 2mg(a-x) + mgx = 2mga + mgx - 2mgx = 2mga - mgx.
Step 4: Equate the initial and final potential energies
Since energy is conserved, we can equate the initial potential energy and the final potential energy. Therefore, 3mga/2 = 2mga - mgx, which gives us x = a/2.
Answer: The distance OC when C comes to instantaneous rest is a/2.
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
A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest?
Question Description
A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest?.
A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest?.
Solutions for A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? 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 A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? defined & explained in the simplest way possible. Besides giving the explanation of
A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest?, a detailed solution for A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? has been provided alongside types of A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? theory, EduRev gives you an
ample number of questions to practice A light string ABCDE whose midpoint is C passes through smooth rings B and D, which are fixed in a horizontal plane distant 2a apart. To each of the points A,C,E is attached a mass m. Initially C is held at rest at O(midpoint BD) and is then set free. What is the distance OC when C comes to instantaneous rest? 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup