Question

Physics 12 Rotational Equilibrium Question!

Please explain how you get the answer.



Wait for the attachment.

Answer 1

You need to look at the force components perpendicular to the beam, and balance the moments around the hinge

Answer 2

We have three force components to work with, and one moment.

The first step is to find equations that describe the components of force that are perpendicular to the beam, relative to the forces Fg, Fm and Ft

For Fg, the force component perpendicular to the beam will be Fg(cos(50)). Where Fg is the force due to the weight of the beam (350 kg) which is approximately 3500 N, given g = 10 m/s^2

For Fm, the force component perpendicular to the beam will be Fm(cos(50))

And finally for the tension force we have Ft(cos(40))

We can now use these forces to balance the moments around the hinge, where we need M1 to be zero

As torque is a function of both force and distance, we must multiply our perpendicular force components by the distance the force is acting from the hinge.

For the weight of the beam, the force acts through the center of mass, which will be at the center of the beam, so 2.1 m

For the tension force the distance will be 3 m

and for the Mass, the distance will be 4.2 m

We can now write an equation to balance the moments around the hinge.

As Fm and Fg are acing on an opposite side of the beam to Ft, Ft in our equation will be negative. In reality it doesn't matter if you take Ft as negative, or Fm and Fg as negative, as long as they are opposing.

This gives us the equation:

Fg(cos(50))(2.1) + Fm(cos(50))(4.2) - Ft(cos(40))(3) = M1

Where:

Fg = 3500 N

Ft = 1.3x10^4 N

M1 = 0 N m

We can now plug these values into the equation, and solve for Fm.

3500(cos(50))(2.1) + Fm(cos(50))(4.2) - (1.3x10^4)((cos(40))(3) = 0

4724.5 N + 2.7Fm N - 29875.7 N = 0

2.7*Fm N = 25151.2

Fm = 9315 N

This gives us a force in Newtons, but the questions asks for a Mass, Kg, so we just divide our answer by g = 10 to give our answer in Kg

931.3 Kg

Hope this helps

Answer 3

are you physics grade 12 student ?

Answer 4

I don't know what that means

Answer 5

Are you university student or physics student or professsor, could you please answer my question. It is imp

Answer 6

University student

Answer 7

Ok do you know about the position of folcrum and how to find the force of wall in the y direction, it is a different question, if yes can you helo me with something it is very confusing for me.

Answer 8

?

Answer 9

I am not sure if the internet connection is slow, but do you know about it?