Two Masses One on Table, One Hanging

In summary, the problem involves a block of mass 5.0 kg on a table with a coefficient of friction of 3.00. The block is attached to another block via a string and the system is released from rest. Using Newton's laws, we can determine that both blocks will accelerate at the same rate due to the massless and inextensible string. The hanging block will pull the block on the table, and vice versa, with equal force.
  • #1
freeofwork
44
0

Homework Statement



A block of mass1 5.0 kg is on a table that bonds a coefficient of friction of 3.00. Mass1 is attached to Mass2 by a string, and Mass2 is hanging over the table. The system is released from rest for it to accelerate.

Homework Equations



F=ma
F fric = μFnormal

The Attempt at a Solution



[itex]\sum Fx of Mass1[/itex] = F tension - F friction

[itex]\sum Fy of Mass1[/itex] = 0

[itex]\sum Fx of Mass2[/itex] = 0

[itex]\sum Fy of Mass2[/itex] = FW - F tension

Is tension created by the mass1 or mass2?
im guessing both? but that doesn't make any sense...
 
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  • #2
1. Where is m3?
2. Is coefficient of friction of 3.00 is between the block and table?
 
  • #3
azizlwl said:
1. Where is m3?
2. Is coefficient of friction of 3.00 is between the block and table?

no m3...

2. yes
 
  • #4
ok wrong interpretation.

Find net force on each block.
Both will accelerate at equal rate for the string is massless and inextensible.
 
Last edited:
  • #5
oops one on table, one hanging
 
  • #6
Use Newton's 3rd law.
The hanging block will pull the block on the table.
The block on the table will pull the hanging block with equal force.
 

1. What is the purpose of studying "Two Masses One on Table, One Hanging"?

The purpose of studying "Two Masses One on Table, One Hanging" is to understand the principles of equilibrium and how forces affect objects that are connected by a string or rope. It also allows us to explore the relationship between the masses and their acceleration due to gravity.

2. How do the masses affect each other in "Two Masses One on Table, One Hanging"?

In "Two Masses One on Table, One Hanging", the masses affect each other through the tension in the string or rope connecting them. The heavier mass will pull on the string with a greater force, causing the lighter mass to accelerate towards it. This is due to the force of gravity acting on both masses.

3. What is the role of the table in "Two Masses One on Table, One Hanging"?

The table in "Two Masses One on Table, One Hanging" serves as a support for the mass that is placed on it. It also provides a point of attachment for the string or rope connecting the two masses. The table must be sturdy enough to withstand the weight of the hanging mass and the tension in the string.

4. How does the angle of the string affect the system in "Two Masses One on Table, One Hanging"?

The angle of the string in "Two Masses One on Table, One Hanging" affects the tension in the string and the acceleration of the hanging mass. A smaller angle will result in a greater tension in the string and a faster acceleration of the hanging mass. A larger angle will result in a lower tension and a slower acceleration.

5. What factors can affect the equilibrium of the system in "Two Masses One on Table, One Hanging"?

The factors that can affect the equilibrium of the system in "Two Masses One on Table, One Hanging" include the masses of the objects, the length and angle of the string, and external forces such as friction and air resistance. Any changes in these factors can result in a shift in the equilibrium of the system, causing the masses to move or the string to break.

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