Finding Equilibrium: Tips for Solving Static Problems

In summary, the conversation is about a problem involving finding the center of mass of a boat. The person has drawn all the forces and used the equation Net Torque=0, but is still struggling to find the correct answer. They ask for hints and someone suggests that they must assume the position of the center of mass and solve for two unknowns. The person then asks for confirmation on the answer.
  • #1
krypt0nite
31
0
How do I do this problem? How do I start?
Problem
I drew all the Forces acting on the body and used Net Torque=0. I still can't find the right answer. So far none of my answers are close. I think my approach is wrong. Can someone give me any hints to help me solve it.
 
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  • #2
What you've done is essentially correct, but unless you show your calculations, there's no way we can tell you where you made the mistake.
 
  • #3
Net Torque CCW = Net Torque CW
Mg(3m) = 470.4N(6m) I used the wheel as the fulcrum point.
Mg= 940.8N
 
  • #4
You do not know that the center of mass of the boat is at 3m.

You must assume the position of the CoM as some distance x (from the wheel) in the first case, and x - 0.15 in the second case. Write both equations, with the two unknowns (x and M), and solve for them from the equations.
 
  • #5
and the answer is A=440kg right?
thx
 
  • #6
H.C, how u get the question from the test#?$#?@$?#@
 

FAQ: Finding Equilibrium: Tips for Solving Static Problems

What is static equilibrium?

Static equilibrium is a state in which all forces acting on an object are balanced and the object is not moving. This means that the net force and net torque acting on the object are both equal to zero.

What is a static equilibrium problem?

A static equilibrium problem is a physics problem that involves determining the forces and torques acting on an object in order to maintain static equilibrium. These types of problems often involve analyzing the forces and torques acting on a system and using equations such as Newton's laws and the principles of torque to find the unknown variables.

What are the key components of a static equilibrium problem?

The key components of a static equilibrium problem are the forces acting on the object, the torques acting on the object, and the point at which the object is balanced or in equilibrium. These components are used to set up and solve equations to determine the unknown variables in the problem.

What are some common techniques for solving static equilibrium problems?

Some common techniques for solving static equilibrium problems include drawing free body diagrams, applying Newton's laws and the principles of torque, and using vector components to analyze the forces acting on the object. It is also helpful to break down the problem into smaller, more manageable parts and solve for each component separately before combining them to find the final solution.

What are some real-world applications of static equilibrium problems?

Static equilibrium problems are used in many real-world applications, such as engineering, architecture, and construction. For example, when designing a bridge or building, engineers must consider the forces and torques acting on the structure to ensure that it remains in static equilibrium and does not collapse. Static equilibrium problems are also used in physics experiments to analyze the forces and torques acting on objects in different scenarios.

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