NEET Exam  >  NEET Questions  >  Two blocks of masses m and M are connected by... Start Learning for Free
Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire?
Most Upvoted Answer
Two blocks of masses m and M are connected by means of metal wire of c...
Problem: Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire?

Solution:

Step 1: Free body diagram


First, draw the free body diagram of the system. The diagram will consist of two blocks, one pulley, and the wire connecting them. Assign the direction of motion for both the blocks.

Step 2: Applying Newton's Second Law


Apply Newton's Second Law of Motion to both the blocks. Since the pulley is frictionless, there is no force acting on it. Therefore, the tension in the wire will be the same on both sides of the pulley.

Step 3: Solving for Tension


Let T be the tension in the wire. Then, the equations of motion for the two blocks are:

mgsinθ - T = ma (1)

T - Mg = Ma (2)

where θ is the angle of inclination of the plane.

Substituting M=2m in equation (2), we get:

T - 2mg = 2ma

From equation (1), we get:

T = mgsinθ + ma

Substituting a from equation (2), we get:

T = mgsinθ + (T - 2mg)/2

Simplifying the equation, we get:

T = 2mgsinθ/3

Therefore, the tension per unit cross-sectional area produced in the wire is:

T/A = (2mgsinθ/3)/A

Step 4: Final Answer


Thus, the tension per unit cross-sectional area produced in the wire is (2mgsinθ/3)/A.
Community Answer
Two blocks of masses m and M are connected by means of metal wire of c...
Given that pulley is frictioness. So heavy block i.e M=2m moves downwards let with acceleration 'a' and lighter block m moves upwards with same acceleration . So the equation of these two blocks become
T- mg=ma
&. 2mg-T =2ma
Adding both the equations we get ,
mg=3ma or a=g/3
Putting the value of 'a' in any of above equation,we get tension T= mg/3+mg=4mg/3.
We know that T remain same everywhere in the wire if the wire used is single or same.
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

Top Courses for NEET

Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire?
Question Description
Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire?.
Solutions for Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire? 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 Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire? defined & explained in the simplest way possible. Besides giving the explanation of Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire?, a detailed solution for Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire? has been provided alongside types of Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire? theory, EduRev gives you an ample number of questions to practice Two blocks of masses m and M are connected by means of metal wire of cross section area A passing over a frictionless pulley the system is then released if M=2m then tension per unit crossectional area produce in wire? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev