A box of mass m is suspended by two ropes from a ceiling. if the ropes make the same angle with the vertical, what is the tension in each rope?

Respuesta :

The tension, T, in each rope is T= mg/2Sinθ

What is tension force?

Tension refers to the pulling force in a string which acts in an opposite direction to the force pulling on it.

The tension in each of the ropes are equal since they both make the same angle with the vertical.

Assume the angle the ropes make with the vertical are both θ.

Let the tension in each be T₁ and T₂

Also, T₁ = T₂ = T

T₁Sinθ + T₂Sinθ = mg

2TSinθ = mg

T = mg/2Sinθ

Therefore, the tension, T, in each rope is T = mg/2Sinθ

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