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Shows an object suspended from two ropes. The weight of the object is 360 N. The magnitude of the tension
in each rope is T.
T T
T T
45°
45°
object
360N
In the space below, determine the tension T by drawing a vector diagram of the forces acting on
the object.
State the scale you have used.​

Shows an object suspended from two ropes The weight of the object is 360 N The magnitude of the tensionin each rope is TT TT T4545object360NIn the space below d class=

Respuesta :

Answer:

Tension T in each rope will be 254.56 N.

Explanation:

From the picture attached,

Weight suspended by the two ropes will be supported by the vertical components of the tension in the ropes.

Vertical components of both the ropes = Tsin(45)° + Tsin(45)°

                                                                 = 2Tsin(45)°

                                                                 = [tex]2T(\frac{1}{\sqrt{2}})[/tex]

                                                                 = [tex]T\sqrt{2}[/tex]

Since, [tex]T\sqrt{2}=360[/tex]

T = [tex]\frac{360}{\sqrt{2} }[/tex]

T = 254.56 N

Therefore, tension T in each rope will be 254.56 N.

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