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As shown in the diagram, a vertical pole and horizontal arm move in uniform circular motion about the axis of the pole. A ball of mass 5.0 kg is suspended by two wires from the horizontal arm. The linear speed of the ball equals 2.1 m/s. What is the tension in Wire 2?

45 N

28 N

51 N

34 N

40 N

As shown in the diagram a vertical pole and horizontal arm move in uniform circular motion about the axis of the pole A ball of mass 50 kg is suspended by two w class=

Respuesta :

Answer is 34 N. Because of uniform circular motion you can set the centripetal force equal to the component of the tension force that points toward the center of rotation. Now simply solve for T2. Picture below

Ver imagen geraj2k19

The tension in Wire 2 is 34 N.

What is uniform motion?

The motion of the object when it is moving with constant velocity or velocity is not changing with time, is called the uniform motion.

As shown in the diagram, a vertical pole and horizontal arm move in uniform circular motion about the axis of the pole. A ball of mass 5.0 kg is suspended by two wires from the horizontal arm. The linear speed of the ball equals 2.1 m/s.

The angle of wire2 wrt horizontal :

θ = tan⁻¹ (0.6/0.8) = 36.87°

Centrifugal force = Tension force in wire2

mv²/r = T₂ cosθ

T₂ = 5 x (2.1)²/0.8 x cos36.87°

T₂ = 34 N.

Learn more about uniform motion.

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