JEE Exam > JEE Questions > A body m1 of mass 10 Kg is placed on a smooth...
Start Learning for Free
A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2?
Most Upvoted Answer
A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is ...
Solution:
Calculation of Acceleration
- The force acting on the system is the force due to gravity (weight) which is given by F = mg, where m is the mass and g is the acceleration due to gravity.
- The weight of m1 is 10 x 9.8 = 98N and the weight of m2 is 5 x 9.8 = 49N.
- Since the string is assumed to be massless, the tension in the string is the same throughout the system.
- Let the acceleration be a. Then the net force acting on the system is T - 98 - 49 = (m1 + m2)a.
- Therefore, T = (m1 + m2)a + 147.
- Since the system is released, the direction of acceleration is downwards. Therefore, the positive direction is taken as downwards.
- The tension in the string is upwards. Therefore, the equation of motion for m1 is T - m1g = m1a.
- The equation of motion for m2 is m2g - T = m2a.
- Substituting T from the first equation into the second equation, we get m2g - m1a - m2a - 147 = m2a.
- Simplifying, we get a = g/(1 + m1/m2) = 9.8/(1 + 10/5) = 6.53 m/s^2.
Calculation of Tension during Motion
- The tension in the string during the motion of the bodies is given by T = (m1 + m2)a + 147.
- Substituting the values, we get T = (10 + 5) x 6.53 + 147 = 214.95N.
Calculation of Tension when Bodies Stop
- When the bodies stop, the tension in the string is equal to the weight of m1.
- Therefore, T = m1g = 10 x 9.8 = 98N.
Explanation
The problem involves the application of Newton's laws of motion and the concept of tension in a string. The mass of the bodies, the force of gravity acting on them, and the direction of acceleration are taken into account to calculate the acceleration of the system. The tension in the string is assumed to be the same throughout the system. The equations of motion for the bodies are set up and solved to obtain the acceleration and tension in the string during the motion of the bodies. When the bodies stop, the tension in the string is equal to the weight of m1.
Community Answer
A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is ...
T=98/3 N
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2?
Question Description
A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2?.
A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2?.
Solutions for A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? defined & explained in the simplest way possible. Besides giving the explanation of
A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2?, a detailed solution for A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? has been provided alongside types of A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? theory, EduRev gives you an
ample number of questions to practice A body m1 of mass 10 Kg is placed on a smooth horizontal table. It is connected to a string which passes over a frictionless pulley and carries at the other end, a body m2 of mass 5kg . What acceleration will be produced in the bodies when system is released? What will be the tension in the spring during the motion of the bodies? What when the bodies stop? Take g=9.8m/s^2? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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!
within 7 days!
Takes less than 10 seconds to signup