A 21.0 kg uniform beam is attached to a wall with a hi.nge while its far end is supported by a cable such that the beam is horizontal.
If the angle between the beam and the cable is θ = 66.0° what is the tension in the cable?

Respuesta :

Since upward forces must be equal to the downward forces, the tension in the cable is 225.3 N

What are the two conditions for equilibrium ?

The two conditions are;

  1. Sum of the upward forces must be equal to the sum of the downward forces.
  2. The sum of the clockwise moment must be equal to the sum of the anticlockwise moment.

The given parameters are;

  • Mass m = 21 kg
  • angle θ = 66°

Tsinθ = mg

Tsin 66 = 21 x 9.8

T = 205.8 / 0.914

T = 225.3 N

Therefore, the tension in the cable is 225.3 N

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