What is the tension in the right cable?

In summary, there are 2 cables supporting a 24kg mass on a 1.6m long, 8kg horizontal beam. One cable is 0.6m from the right end. Using the equation torque = rFsinx, and taking moments about the left end, we can solve for the tension in the right cable. The net force in the Y direction is not 24(9.8)N as this only represents one force in the Y direction, not the net force. The cables are assumed to be vertical and attached to the ends of the beam.
  • #1
MadMcB
16
0

Homework Statement


2 cables are used to support a 24kg mass on a 1.6m long, 8kg uniform horizontal beam. The 24kg mass is 0.6m from the right cable. What is the tension in the right cable?

Homework Equations


torque = rFsinx

The Attempt at a Solution



Fy = ma = 24(9.8) = 235.2N
Fx = ?
resultant F - ?[/B]
 
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  • #2
There is no Fx forces acting if I'm visualizing it correctly.A picture would help.
Take moments about the left end, solve for the one unknown force - the rhs cable tension.
 
  • #3
Is the object moving? If so or if not, what does this tell you about the net force.
 
  • #4
And are the cables vertical? Where are they attached to the beam? At the ends ?
 
  • #5
There is some confused thinking here:
MadMcB said:
Fy = ma = 24(9.8) = 235.2N
Fy = ma should be ##\Sigma F_y = ma_y##, i.e. the net force in the Y direction gives rise to an acceleration in the Y direction.
It is not clear whether you are considering forces on the beam, forces on the mass, or forces on the two as a system. Whichever, 24(9.8) is only one force in the Y direction, not the net force.
I assume the cables are vertical and attached to the ends of the beam. If so, follow billy_joule's advice. You can get the answer without using ##\Sigma F_y = ma_y##.
 

What is the tension in the right cable?

The tension in the right cable refers to the amount of force that is pulling or stretching the cable. It is typically measured in units of newtons (N) or pounds (lbs).

How is the tension in the right cable calculated?

The tension in the right cable can be calculated using the formula T = F * d, where T is the tension, F is the force acting on the cable, and d is the distance over which the force is applied.

What factors can affect the tension in the right cable?

The tension in a cable can be affected by several factors, including the weight of the object being supported by the cable, the angle at which the cable is pulled, and any external forces acting on the cable.

Why is it important to know the tension in the right cable?

Knowing the tension in a cable is important for several reasons. It can help ensure that the cable is strong enough to support the weight or force acting on it, and it can also help prevent the cable from breaking or becoming damaged.

How can the tension in the right cable be measured?

The tension in a cable can be measured using a tension meter or a dynamometer. These devices can accurately measure the amount of force being applied to the cable, allowing for an accurate calculation of the tension.

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