Answer

Verified

79.2k+ views

**Hint:**Acceleration is the name we tend to provide to any method wherever the speed changes. Since velocity may be speed and a direction so there are only two ways in which it can accelerate: the first one will be by the modification of speed or by the modification of direction—or by modifying each.

**Formula used**

Tension will be,

$ \Rightarrow T = ma$

Where, $T$ is the tension, $m$ is the mass, and $a$ is the acceleration.

The force applied on the block,

$ \Rightarrow F = 2T$

Here, $F$ is the force exerted on the block.

**Solution**

So this question is the problem of pulley and string and for solving such a type of question we should know the concept of applying it. Let’s see how we will solve this problem. One keynote for solving such a type of problem is we should know how to make the free body diagram because this will always help while solving this type of problem.

Let us consider the acceleration of the pulley be $a$

So from the relation of constraint, the acceleration of the block will be $2a$.

Now we will consider the forces acting on the block,

$ \Rightarrow T = m\left( {2a} \right)$

And also the forces acting on the pulley will be considered, which is

$ \Rightarrow F = 2T$

So by comparing from the above two equations, we will get

$ \Rightarrow a = \dfrac{T}{{2m}}$

And,

$ \Rightarrow \dfrac{{F/2}}{{2m}}$

On further solving the above equation, we get

$ \Rightarrow \dfrac{F}{{4m}}$

**Therefore the acceleration of the light pulley will be $F/4m$.**

**Notes**Problems involving two objects, connecting strings and pulleys are characterized by objects that are moving (or even accelerating) in numerous directions. They move or accelerate at a similar rate however in numerous directions. As such, it becomes necessary in approaching such issues to pick a different arrangement and axes system for every object. Attention ought to lean to choosing an axes system such that each object is accelerating on an axis within a positive direction. With the axes properly outlined for every individual object, a free-body diagram is created. Then Newton's laws are applied to every diagram to develop a system of two equations for the determination of the two unknowns.

Recently Updated Pages

Name the scale on which the destructive energy of an class 11 physics JEE_Main

Write an article on the need and importance of sports class 10 english JEE_Main

Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main

Choose the one which best expresses the meaning of class 9 english JEE_Main

What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main

A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main

Other Pages

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

The IUPAC name of the following compound is A Propane123tricarbonitrile class 12 chemistry JEE_Main

Choose the correct statements A A dimensionally correct class 11 physics JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main