Find the acceleration of the system and the maximum force

In summary, there are three masses connected by a rope with a tension of 1000 N. The tension between masses A and B is 200 N. Using the equation F=m*a, the acceleration of the system is found to be 4m/s2. To prevent the rope from breaking, the maximal value of the force F is calculated to be 1727N. This can be determined by considering which segment of rope would break first if the force is increased too much.
  • #1
annalian
56
1

Homework Statement


There are 3 masses ma= 50 kg, mb= 60kg, mc= 80kg. These masses are connected with a rope that affords a tension of 1000 N. On the mass 3 is applied a force F. Knowing that the tension between A and B TAB= 200 N. a)Find the acceleration b) find the maximal value of the force F so that the rope doesn't cut off. a) [4m/s2] b) [1727N]

Homework Equations


F=m*a

The Attempt at a Solution


TAB= ma*a => a=TAB/ ma
 
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  • #2
annalian said:
TAB= ma*a => a=TAB/ ma
That's good. What about part b?
 
  • #3
Doc Al said:
That's good. What about part b?
I don't know... Could you help?
 
  • #4
annalian said:
I don't know... Could you help?
It's actually quite similar to part a. Draw yourself a diagram. Hint: Which segment of rope would break first, if the force is increased too much?
 

1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. It is a measure of how much an object's speed and/or direction is changing.

2. How do you calculate acceleration?

Acceleration can be calculated by dividing the change in velocity by the change in time. This can be represented by the equation a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. What is the maximum force?

The maximum force is the greatest amount of force that can be exerted on an object without causing it to accelerate. It is also known as the limit of the force of friction.

4. How do you find the acceleration of a system?

The acceleration of a system can be found by analyzing the forces acting on all the objects in the system and applying Newton's Second Law of Motion, which states that the net force on an object is equal to its mass multiplied by its acceleration (F = ma).

5. How can we determine the maximum force in a system?

The maximum force in a system can be determined by calculating the maximum possible acceleration of the system and then using Newton's Second Law to calculate the corresponding maximum force. Additionally, the maximum force can also be influenced by factors such as friction, weight, and the strength of the materials involved.

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