Tension on the ropes (Equilibrium)

In summary, a uniform stage with a mass of 20kg and a length of 4m is suspended by two ropes, with a man of mass 80kg standing on it at a distance of 1.5m from one end. To find the tension on the ropes, we can use the concept of equilibrium where the sum of the upward tensions must be equal to the downward force of gravity. This means that the tension on each rope must be equal to 600N and 400N respectively.
  • #1
blackord
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A uniform stage of mass 20kg and length 4m is suspended using 2 ropes as shown in the diagram. A man of mass 80kg is on the stage at a distance of 1.5m from A. Find the tension on the ropes by which the stage hangs...

This is one of my homework questions on equilibrium. The answers are given as 600N & 400N. I'm a newbie... So please explain the answer...


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  • #2
Since there is no movement up or down the sums of tensions pulling up must be equal to the force of gravity pulling down. Also since the platform isn't rotating the net torque about the center of the platform is also zero :)
 

What is tension on a rope?

Tension on a rope refers to the pulling force or stress that is applied to the rope in order to keep it taut and in equilibrium.

What causes tension on a rope?

Tension on a rope is caused by an external force, such as an object hanging from the rope or two ends of the rope being pulled in opposite directions.

How is tension on a rope measured?

Tension on a rope can be measured using a tension meter or by calculating the force applied to the rope using the equation F = ma, where F is the force, m is the mass, and a is the acceleration.

How does tension on a rope affect equilibrium?

Tension on a rope is one of the forces that must be balanced in order for an object to be in equilibrium. If the tension on a rope is greater than the weight of an object, the object will accelerate in the direction of the net force. If the tension is equal to the weight, the object will remain in equilibrium.

How can tension on a rope be adjusted?

Tension on a rope can be adjusted by changing the external force applied to the rope. For example, if an object is hanging from the rope, adjusting the weight of the object will change the tension on the rope. Additionally, changing the angle at which the rope is pulled can also affect the tension.

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