Force F for Balanced Masses M2, M3 on Block M1

In summary, a rectangular block of mass M1 with a rectangular hole drilled from its upper surface rests on a frictionless horizontal plane. On top of the block sits a mass M2 connected to another hanging mass M3 through a string over a pulley. The mass M1 is given a horizontal force F. To keep M2 and M3 from moving, the value of F must be greater than or equal to the combined weight of M2 and M3.
  • #1
Kolahal Bhattacharya
135
1
A rectangular block of mass M1 rests on the frictionless horizontal plane.On it there is a rectanglar shaped hole, drilled from upper surface.A mass M2 is on the frictionless upper surface of the block being connected through string over a pulley another mass M3 which hangs in the hole.The mass M1 is given a horizontal force F.For what value of F, M2 and M3 does not move at all?
 
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  • #2
Woof. Is there a diagram or something included with this question?
 
  • #3
Kolahal Bhattacharya said:
A rectangular block of mass M1 rests on the frictionless horizontal plane.On it there is a rectanglar shaped hole, drilled from upper surface.A mass M2 is on the frictionless upper surface of the block being connected through string over a pulley another mass M3 which hangs in the hole.The mass M1 is given a horizontal force F.For what value of F, M2 and M3 does not move at all?

"On it there is a rectangular shaped hole" On what? M1 or the horizontal plane? Is the fact that the hole is rectangular relevant at all? I picture this as block M1 with block M2 sitting on top of it. Block M2 has a string attached which goes over a pully and down through the hole to M3. Is that correct?

In any case, the fact that the upper surface of M1 is frictionless means that its motion will not affect either M2 or M3 (until M1 moves out from under M2).
 
  • #4
You may picture the problem as following-
The M1 is like a solid block (resting on a plane) through the upper surface of which a rectangular parallelopiped portion inside the block has been removed.M2 rests on the upper surface of the block (at a distance from the drilled out hole).It is fastened to M3 (hanging inside the hole) via a string which passes over a pulley.
I do not know how to draw on this page so I cannot send you complete picture
 

1. What is force F for balanced masses M2, M3 on block M1?

The force F for balanced masses M2, M3 on block M1 refers to the net force acting on block M1 when it is in equilibrium. This means that the forces acting on the block are balanced, resulting in no acceleration.

2. How do you calculate the force F for balanced masses M2, M3 on block M1?

The force F can be calculated using the equation F = M1a, where M1 is the mass of block M1 and a is the acceleration, which is equal to 0 in this case since the block is in equilibrium.

3. What is the relationship between the masses M2, M3 and the force F in this scenario?

The relationship between the masses M2, M3 and the force F is that they are directly proportional. This means that as the masses M2 and M3 increase, the force F also increases, and vice versa.

4. What happens to the force F if one of the masses M2 or M3 is removed?

If one of the masses M2 or M3 is removed, the force F will decrease accordingly to maintain equilibrium. This is because the remaining mass will have a smaller force acting on it, resulting in a smaller net force on block M1.

5. Can the force F be greater than the combined masses M2 and M3?

No, the force F cannot be greater than the combined masses M2 and M3. This is because in equilibrium, the forces acting on the block must be balanced, meaning that the force F must be equal to the combined weight of the masses M2 and M3.

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