JEE Exam > JEE Questions > In the pulley block system shown assume the f...
Start Learning for Free
In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively?
Most Upvoted Answer
In the pulley block system shown assume the friction to be negligible ...
Introduction:
In this problem, we are given a pulley block system consisting of three blocks A, B, and C with masses of 1 kg, 2 kg, and 3 kg respectively. We are asked to determine the tension in the strings and the acceleration of the system assuming negligible friction.
Free Body Diagram:
The first step in solving this problem is to draw a free body diagram of each block. We can assume that the strings are massless and the pulleys are frictionless. The tension in the strings will be the same throughout the system.
Equations of Motion:
Next, we can use Newton's second law to write equations of motion for each block. We can assume that the acceleration of the system is a and that the direction of motion is to the right. The equations of motion for each block are:
For block A: T - m1g = m1a
For block B: T - m2g = m2a
For block C: T - m3g = m3a
System of Equations:
We can solve these equations simultaneously to find the tension in the strings and the acceleration of the system. Adding the equations for blocks A and B, we get:
2T - (m1 + m2)g = (m1 + m2)a
Similarly, adding the equations for blocks B and C, we get:
2T - (m2 + m3)g = (m2 + m3)a
Solution:
Solving these two equations simultaneously for T and a, we get:
T = (m1 + m2 + m3)g / 4 = 24.5 N
a = g / 4 = 2.45 m/s^2
Therefore, the tension in the strings is 24.5 N and the acceleration of the system is 2.45 m/s^2.
In this problem, we are given a pulley block system consisting of three blocks A, B, and C with masses of 1 kg, 2 kg, and 3 kg respectively. We are asked to determine the tension in the strings and the acceleration of the system assuming negligible friction.
Free Body Diagram:
The first step in solving this problem is to draw a free body diagram of each block. We can assume that the strings are massless and the pulleys are frictionless. The tension in the strings will be the same throughout the system.
Equations of Motion:
Next, we can use Newton's second law to write equations of motion for each block. We can assume that the acceleration of the system is a and that the direction of motion is to the right. The equations of motion for each block are:
For block A: T - m1g = m1a
For block B: T - m2g = m2a
For block C: T - m3g = m3a
System of Equations:
We can solve these equations simultaneously to find the tension in the strings and the acceleration of the system. Adding the equations for blocks A and B, we get:
2T - (m1 + m2)g = (m1 + m2)a
Similarly, adding the equations for blocks B and C, we get:
2T - (m2 + m3)g = (m2 + m3)a
Solution:
Solving these two equations simultaneously for T and a, we get:
T = (m1 + m2 + m3)g / 4 = 24.5 N
a = g / 4 = 2.45 m/s^2
Therefore, the tension in the strings is 24.5 N and the acceleration of the system is 2.45 m/s^2.
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
In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively?
Question Description
In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively?.
In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively?.
Solutions for In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? 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 In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? defined & explained in the simplest way possible. Besides giving the explanation of
In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively?, a detailed solution for In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? has been provided alongside types of In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? theory, EduRev gives you an
ample number of questions to practice In the pulley block system shown assume the friction to be negligible and thus into the light and inextensible the mass of block a b c are 1 kilo 2 kilo 3 kilo respectively? 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!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup