
Two blocks A and B of masses and respectively are held at rest such that the spring is natural in length. Find out the accelerations of blocks A and B respectively just after release (pulley, string and spring are massless).A. B. C. D.
Answer
459.6k+ views
Hint: Two blocks are tied with the same spring implies their tension force is equal. Firstly, we shall analyze the motion of the blocks before and after being released. Further, we will look at the forces acting on each block and write their separate translational equation of motion. Then, on simultaneously solving both the obtained equations, we will calculate the acceleration on each block.
Complete answer:
……………………. Equation (1) …………………….. Equation (2)
Note:
Complete answer:
Since both blocks are connected by the same string and have the same tension force, therefore, their acceleration will also be the same. One of the blocks will be going up with that acceleration and the other would be coming down.
Initially, the spring is at its natural length and it is neither extended nor compressed. Let block A be connected to the spring and let the tension force in the string be .
Thus, we shall now write the translational equations of motion for both blocks A and B.
For block A;
For block B;
Adding equation (1) and equation (2), we get
Cancelling m from both sides and dividing both sides by 3, we get
Therefore, the acceleration of block A is in downward direction and the acceleration of block B is in upward direction. So, option (B) is correct.
Whenever two or more blocks are tied with the same string, then the tension of each block due to the spring is taken to be the same. Also, when such a problem consisting of two or more bodies performing motion related to each other is given, in that case we must draw a free-body diagram of each body individually and write the equation of their translational motion.
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Trending doubts
State and prove Bernoullis theorem class 11 physics CBSE

What are Quantum numbers Explain the quantum number class 11 chemistry CBSE

Write the differences between monocot plants and dicot class 11 biology CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

State the laws of reflection of light

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE
