Two Blocks attached by a string, on an incline

In summary, the conversation discusses finding the acceleration and tension of two blocks connected by a string on an inclined plane, with one block having a mass of 3.00 kg and the other having a mass of 1.07 kg. The acceleration is calculated to be 6.03 m/s^2, but the formula for finding the tension is unclear. The suggestion is made to use Newton's 2nd law and draw a free body diagram to solve for the tension. The force of gravity is mentioned as acting on each block and the direction is specified as positive down the incline. The summation of forces on one block is calculated to be 47.49.
  • #1
stripedcat
44
0

Homework Statement


In the diagram mA is equal to 3.00 kg and mB is equal to 1.07 kg. The angle of the inclined plane is 38.0°

6sq6bn.png


(a) Find Acceleration: 6.03 m/s^2 (got this part)
(b) Find the tension Tb in the connecting string: Not sure

Homework Equations



(a) a = (F/mA + mB)
(b) t = mA * a? or mB * a? Not sure

The Attempt at a Solution



Obviously my mA * a and mB * a both didn't work, I'm not sure what the formula should be.
 
Physics news on Phys.org
  • #2
What forces act on each block? Draw yourself a free body diagram for one of the masses. Then by applying Newton's 2nd law, you can solve for the tension.
 
  • #3
I'm sorry, but... What?

The force that acts on each block is gravity, 9.8 * sin theta. That's how I got acceleration.

T = m(g+a)? But is that mA or mB?
 
  • #4
stripedcat said:
I'm sorry, but... What?

The force that acts on each block is gravity, 9.8 * sin theta. That's how I got acceleration.
Right, but you left it out in your two formulas for tension.

T = m(g+a)? But is that mA or mB?
Do this. Pick a block. Doesn't matter which. Then find ∑F for that block. Direction matters: call down the incline positive.
 
  • Like
Likes 1 person
  • #5
Doc Al said:
Right, but you left it out in your two formulas for tension.

Woops, sorry. O_O I missed that.

Do this. Pick a block. Doesn't matter which. Then find ∑F for that block. Direction matters: call down the incline positive.

3 * (9.8 + 6.03) = 47.49

I don't know what the summation F means. Sum of forces on the block?

I usually have practice problems so I can play with them until I figure out how to do them, no such luck on this one.
 
  • #6
stripedcat said:
I don't know what the summation F means. Sum of forces on the block?
Yes.

Did you pick a block? Which one? What forces act on it? What's their sum?
 

FAQ: Two Blocks attached by a string, on an incline

What is the setup of the experiment?

The experiment involves two blocks, one on an incline and one hanging off the incline, connected by a string. The incline is at an angle and the blocks are connected by the string which goes over a pulley at the top of the incline.

What is the purpose of this experiment?

The purpose of this experiment is to study the relationship between the angle of the incline, the mass of the blocks, and the tension in the string. It can also be used to calculate the acceleration of the blocks and the coefficient of friction between the blocks and the incline.

How is the tension in the string affected by the angle of the incline?

The tension in the string is directly proportional to the angle of the incline. As the angle increases, the tension in the string also increases. This can be explained by the fact that the steeper the incline, the more force is required to keep the blocks from sliding down.

How does the mass of the blocks affect the experiment?

The mass of the blocks affects the experiment by changing the acceleration of the blocks. The larger the mass, the greater the force of gravity pulling the blocks down the incline, resulting in a higher acceleration. This also affects the tension in the string and the coefficient of friction between the blocks and the incline.

What is the significance of the coefficient of friction in this experiment?

The coefficient of friction is an important factor in this experiment as it determines the amount of friction between the blocks and the incline. This friction opposes the motion of the blocks and affects the acceleration and tension in the string. It can also be used to calculate the force of friction and the work done against it.

Similar threads

Replies
2
Views
1K
Replies
37
Views
767
Replies
5
Views
2K
Replies
21
Views
4K
Replies
4
Views
3K
Replies
1
Views
17K
Replies
9
Views
2K
Back
Top