- #1
Heart
- 39
- 0
How do I find the direction and magnitude of the force exerted on the massive rope by the ceiling? And what is the tension at point P in the rope? Thanks in advance,
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In summary, tension in a hanging massive rope is the pulling force that keeps the rope taut and prevents sagging. It can be calculated using T = mg, where T is the tension, m is the mass of the rope, and g is the acceleration due to gravity. The tension is affected by factors such as the mass and length of the rope, as well as external forces like wind or added weight. If the rope is cut, the tension will decrease and the remaining portion will experience a lower tension. The angle of the rope can also affect tension by splitting it into horizontal and vertical components, with the vertical component supporting the weight of the rope and the horizontal component creating tension in the direction of the anchor point.
- #2
CartoonKid
- 125
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Let W=the weight of the rope.
So the weight of the rope below point p will be (W/l)*y.
The upper part will be just (W/l)*(l-y). This will be the tension at P.
So the weight of the rope below point p will be (W/l)*y.
The upper part will be just (W/l)*(l-y). This will be the tension at P.
- #3
Heart
- 39
- 0
Thank you so much, CartooKid. You're the man. 
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- #4
CartoonKid
- 125
- 0
Yes. For the whole rope, it would be lzg which is same as Mg.
What is tension in a hanging massive rope?
Tension is the pulling force exerted by the rope, which keeps it taut and prevents it from sagging due to its own weight.
How is tension calculated in a hanging massive rope?
Tension can be calculated using the equation T = mg, where T is the tension, m is the mass of the rope, and g is the acceleration due to gravity (9.8 m/s^2).
What factors affect the tension in a hanging massive rope?
The tension in a hanging massive rope is affected by the mass of the rope, the length of the rope, and the acceleration due to gravity. It is also influenced by external forces such as wind or additional weight added to the rope.
What happens to the tension in a hanging massive rope if the rope is cut?
If the rope is cut, the tension will decrease and the rope will no longer be taut. The remaining portion of the rope will still experience tension, but it will be less than the original tension in the full rope.
How does the angle of the rope affect the tension in a hanging massive rope?
The angle of the rope can affect the tension by changing the direction of the force. If the rope is at an angle, the tension will be split into horizontal and vertical components. The vertical component will be responsible for supporting the weight of the rope, while the horizontal component will pull on the anchor point, creating tension in that direction as well.
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