First condition of equilibrium problem help

In summary, the problem is to determine weights w1 and w2 that will result in a tension of 100 N in the horizontal cable. The only known method is the component method, but the application in this case is unclear. To solve, first determine the tension in the cable at the 30 degree angle, then draw a free body diagram of the cable joint and perform force balance in the x and y directions.
  • #1
MorphuesMark
1
0
Anyone know how to solve this one?

Homework Statement


Determine weights w1 and w2 that cause the tension T in the horizontal cable to be 100 N.

Here's the diagram:
http://tinypic.com/m/f56cyb/2

Homework Equations


All I know is the component method but. . .I'm not sure how to apply it here.

The Attempt at a Solution


I really have no idea where to start, so please help!
 
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  • #2
Since the whole cable setup is not in motion nor is it in impending motion, what must the tension in the cable that makes the 30 degree angle be?

Once you decide on that, draw a free body diagram of the cable joint and perform the usual force balance in the x and y directions.
 

FAQ: First condition of equilibrium problem help

What is the first condition of equilibrium?

The first condition of equilibrium, also known as the translational equilibrium, states that the net force acting on an object must be equal to zero for the object to be in a state of equilibrium.

How do you calculate the first condition of equilibrium?

To calculate the first condition of equilibrium, you must first identify all the forces acting on the object and their corresponding magnitudes and directions. Then, add up all the forces and set the sum equal to zero. This will give you the first condition of equilibrium equation.

Can an object be in equilibrium if it is moving?

No, an object cannot be in equilibrium if it is moving. In order for an object to be in equilibrium, it must have a constant velocity and be at rest.

What is the significance of the first condition of equilibrium in physics?

The first condition of equilibrium is significant in physics because it helps us determine when an object is in a state of balance or equilibrium. It also allows us to analyze the forces acting on an object and predict its motion.

How does the first condition of equilibrium relate to Newton's first law of motion?

The first condition of equilibrium is essentially a mathematical representation of Newton's first law of motion, also known as the law of inertia. This law states that an object will remain at rest or in a state of constant velocity unless acted upon by an external force. The first condition of equilibrium helps us determine when an object is in this state of balance or constant velocity.

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