What Forces are Involved in Newton's Laws of Motion for Two Bodies on a Table?

[Harmony]

Two bodies of masses m1 and m2, are released from the position shown in the figure. If the mass of the smooth-topped table is m3, find the reaction of the floor on the table while the two bodies are in motion. Assume the table does not move.

I attempt to find out all the forces acting. There's tension of the String, w1 and w2, w3, normal reaction force and maybe friction. But how does movement of m2 has anything to do with the normal reaction force?

 

[vijay123]

did they which of m1 or m2 is heavier?

 

[vijay123]

is there any friction present at all?

 

[d_leet]

did they which of m1 or m2 is heavier?

That should be irrelevant.

is there any friction present at all?

Since the problem says that the table is "smooth-topped" we should assume that there is no friction.

 

[vijay123]

it would be relevant if friction wus present.
anyway, i think that if the table stay at one place, then the reactive force of the floor would be g(m1+m2+m3). that wut i think but i am not very sure at alll!

 

[Hootenanny]

did they which of m1 or m2 is heavier?

As d_leet states this is irrelavent.

 

[vijay123]

yea, you can the ans to my ques from the problem...sorry...my mistake

 

[Harmony]

I am not sure whether friction is present or not. The answer given is ((m1m2/m1+m2)+m2+m3)g. And friction is include in the answer. The friction is m1m2g/m1+m2

Why is friction involved since the table is smooth? Is there something wrong with the question?

And yes, it is not stated whether m1 is greater than m2 or not.

 

[Kurdt]

The quantity:

\frac{m_1 m_2} {m_1+m_2}

is in fact the reduced mass of the masses m₁ and m₂.

Hopefully this hint will help you answer the question.

 

[arildno]

Friction is needed between the table and the floor, in order to keep the table stationary with respect to the floor.