# Force of gravity of chain links problem

• dois
In summary, two chain links, one with a mass of 8kg and the other with an unknown mass, are connected and suspended by a string. When an applied force of 216N is exerted on the top link, both links experience an upward acceleration of 2m/s^2. To find the mass of the second link and the force it exerts on the first link, we can use the equation F = ma for each object and solve the system of equations. The force of gravity, mg, will also need to be considered in the calculations.
dois

## Homework Statement

Two chain links are connected together and are suspended by a string. The mass of the top link, link#1 is 8kg, while the mass of the second/bottom link #2 is unknown. If an applied force on the string attached to link #1 of 216N[up], and the links experience an acceleration of 2m/s^2 [up] find the mass of link #2 and the force that link#2 exerts on link1
The only given variables we have are
a= 2 m/s^2
Fa= 216N
g=10N

I'm guessing I have to isolate variables, but I am not sure what equations to use.

Last edited:

Use F = ma where F is the total of the forces on the object.
You must be very clear in your mind what "the object" is. The conventional approach is to do an F = ma for each object and the force of one link on the other then will appear in both equations - you get a system of two equations to solve. Sometimes you can reduce the work by cleverly thinking of the two objects combined as one object and use just one F = ma.

Would the total of the forces on the object just be the applied force which is 216?

oh right, so then F, being the total of all the forces would be...
216N + 10N
so F=226N

No, that 10 N is incorrect. In your first post,
g=10N
should read g = 9.81 m/s².
The force of gravity is mg, which you can't immediately find because you don't know m. Anyway, it is better to stick with symbols like m until you have solved the equation for the quantity you want to find.

## 1. What is the force of gravity of chain links problem?

The force of gravity of chain links problem is a physics problem that involves determining the gravitational force between two chain links of different masses.

## 2. How is the force of gravity of chain links problem solved?

The force of gravity of chain links problem is solved using the Newton's Law of Universal Gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

## 3. What factors affect the force of gravity of chain links?

The force of gravity of chain links is affected by the mass of the two chain links and the distance between them. The force of gravity increases as the mass of the chain links increases and decreases as the distance between them increases.

## 4. How is the force of gravity of chain links problem related to real-life situations?

The force of gravity of chain links problem is related to real-life situations in which objects with mass are attracted to each other due to the force of gravity. For example, the force of gravity between the Earth and the Moon keeps the Moon in orbit around the Earth.

## 5. What are some applications of the force of gravity of chain links problem?

The force of gravity of chain links problem has various applications in fields such as engineering, astrophysics, and space exploration. It is used to calculate the gravitational forces between celestial bodies, design structures to withstand gravitational forces, and plan trajectories for spacecrafts.

• Introductory Physics Homework Help
Replies
4
Views
2K
• Introductory Physics Homework Help
Replies
11
Views
3K
• Introductory Physics Homework Help
Replies
45
Views
2K
• Introductory Physics Homework Help
Replies
2
Views
2K
• Introductory Physics Homework Help
Replies
7
Views
2K
• Introductory Physics Homework Help
Replies
3
Views
2K
• Introductory Physics Homework Help
Replies
13
Views
362
• Introductory Physics Homework Help
Replies
2
Views
3K
• Introductory Physics Homework Help
Replies
7
Views
2K
• Introductory Physics Homework Help
Replies
15
Views
10K