Question

A crate hangs from a rope that is attached to a metal ring. The metal ring is suspended by a second rope that is attached overhead at two points, as shown. What is the angle if the tension in rope 1 is 0.640 times the tension in rope 2?

Answer 1

We have that the tension in rope 2 is mathematically given as

the tension in rope 2 is

• $\theta=71.3$

From the question we are told

A crate hangs from a rope that is attached to a metal ring.

The metal ring is suspended by a second rope that is attached overhead at two points, as shown.

What is the angle if the tension in rope 1 is 0.640 times the tension in rope 2?

Angle of the tension

Generally the equation for the Tension  is mathematically given as

$Tcos\theta+0.640\theta-T_1=0\\\\Therefore\\\\ZTcos \theta-0.640T=0\\\\Cos=0.32\\\\\theta=71.3$

Therefore

the tension in rope 2 is

$\theta=71.3$

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