Rotational Equilibrium Homework Help

In summary, the problem involves finding the forces F, Ft1, and Ft2 given the equations Fx = Ft2 cos(θ) - F = 0, Fy = Ft2 sin(θ) + Ft1 - Fg = 0, and -FgDg - Ft2D1x cos(θ) + Ft2D1y sin(θ) = 0. The attempt at a solution involved plugging in the given information, but the correct answer was not obtained. There may be an error in the distances used in the equations. The suggestion was made to calculate torque from the nail and use the fact that the picture can only rotate along the nail.
  • #1
Repolar
1
0

Homework Statement



23iyln5.jpg

Answers were told to us to be

F = 2.91 N
Ft1 = 13.32 N
Ft2 = 3.36 N

Homework Equations



Fx = Ft2 cos(θ) - F = 0
Fy = Ft2 sin(θ) + Ft1 - Fg = 0
Torque equation

-FgDg - Ft2D1x cos(θ) + Ft2D1y sin(θ) = 0

The Attempt at a Solution



I plugged in all of the information i had but did not get the right answer. I think my distances may be off but i cannot seem to get to those answers.
 
Last edited:
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  • #2
Repolar said:
-FgDg - Ft2D1x cos(θ) + Ft2D1y sin(θ) = 0
That doesn't look right. The angle is to the horizontal, so cos(theta) should be giving a horizontal force component. That needs to be multiplied by a vertical distance. Pls post your working in detail.
 
  • #3
why not calculate torque from the nail then rotation is 0 and the picture can only rotate along the nail then FT1 being parallel to the line of action offers no torque only mg is balanced by FT2 the by that u can find the others
 

Related to Rotational Equilibrium Homework Help

1. What is rotational equilibrium?

Rotational equilibrium refers to the state of a system where the net torque acting on it is equal to zero. This means that the object is not rotating or is rotating at a constant speed.

2. How is rotational equilibrium different from translational equilibrium?

Translational equilibrium refers to the state of a system where the net force acting on it is equal to zero. This means that the object is not accelerating or is moving at a constant speed. Rotational equilibrium, on the other hand, refers to the state where the net torque is zero, meaning the object is not rotating or is rotating at a constant speed.

3. What are the conditions for rotational equilibrium?

The conditions for rotational equilibrium are: the sum of all torques acting on the object must be equal to zero, the net force must be equal to zero, and the object must not be accelerating. Additionally, the forces acting on the object must be balanced and the object must be in a stable position.

4. How do you calculate net torque in a system?

To calculate the net torque in a system, you must first determine the distance between the applied force and the pivot point (this is known as the lever arm). Then, multiply the magnitude of the force by the length of the lever arm. Repeat this process for all forces acting on the object and then add all the torques together. If the sum is equal to zero, the system is in rotational equilibrium.

5. How can rotational equilibrium be applied in real-life situations?

Rotational equilibrium has many real-life applications, such as balancing a see-saw or a lever, designing structures such as bridges and buildings to withstand forces and maintain stability, and understanding the motion of objects such as spinning tops and gyroscopes. It is also important in fields such as engineering, physics, and biomechanics.

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