a 76 kg person is being pulled away from a burning building. If the tensions in the ropes when the person is momentarily montionless are qequal

Respuesta :

The other angle is equal to θ = 30⁰.

What are the forces in a rope?

T (y = 0), the force keeping the rope up, and the gravitational force acting on the entire rope are the forces acting on the rope. depicts the diagram of the free-body forces. The rope is subject to Newton's Second Law, MgT(y=0)=0, because there is no acceleration.

Mass of the person, m = 76 kg

Angle, φ = 600

The tensions in the two ropes are equal. i.e. T1 = T2

In equilibrium, T1 Sinφ = T2 Cosθ

Sin 60 = Cosθ

Cos θ = 0.866

Angle, θ = Cos-10.866 = 30⁰

The other angle is θ = 30⁰

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