Question

Solve for tr , the tension in the right rope. Express your answer in terms of w and the dimensions l and x. Not all of these variables may show up in the solution.

Answer 1

The value of the tension in the right rope, $T_R$, in terms of the weight W, and the dimensions, L, and x, obtained by finding the moment about the point the left rope is attached to the beam, can be presented as follows;

$T_R=\dfrac{W \times x}{L}$

What is a moment of a force about a point?

The moment of a force is the product of the force and the perpendicular distance from the line of action of the force to the point.

Part of the question includes;

A weight W hanging on a beam of length L attached to two ropes with tensions, $T_L$ and $T_R$, at a distance x from the left rope with tension, $T_L$

At equilibrium, we get;

∑F = 0

Therefore;

W =  $T_L$ + $T_R$

The sum of the moment is zero, ∑M = 0

Therefore;

Clockwise moment about the point of contact, P, of  $T_L$ and the beam, W × x = Anticlockwise moment about point P, $T_R$ × L

W × x = $T_R$ × L

Therefore;

$T_R = \dfrac{W \times x}{L}$

Learn more about equilibrium of forces and moments here:

brainly.com/question/27884146

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