Question

If two masses m and 2m are joined to each other by means of frictionless pulley. When the mass 2m is released, the mass m will ascend with an accalaration of

Answer 1

ans is simple
t-mg = ma
2mg-t=2ma
2mg-ma-mg=2ma
mg= 3ma
a= g/3

Answer 2

The mass m will ascend with an accalaration of $a=\frac{g}{3}$.

What is the second law motion?

• Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body.
• It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

What are Newton's 1st 2nd and 3rd laws of motion?

• In the first law, an object will not change its motion unless a force acts on it.
• In the second law, the force on an object is equal to its mass times its acceleration.
• In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.

According to the question:

From the second law of motion,

$2 \mathrm{mg}-\mathrm{T}=2 \mathrm{ma}$......................(1)

$\\ \mathrm{T}-\mathrm{mg}=\mathrm{ma} .................(2)$

Adding equations (1) and (2),

$\\ \mathrm{mg}=3 \mathrm{ma} \Rightarrow \mathrm{a}=\frac{\mathrm{g}}{3}$

Hence, The mass m will ascend with an accalaration of $a=\frac{g}{3}$.

Learn more about second law of motion here,

https://brainly.in/question/442343?msp_poc_exp=5

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