- #1
duplaimp
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Homework Statement
An object with mass m is attached to a fixed structure with a rope with dimension R like in the figure. The object is dropped. Why is the tension in the lowest point of the movement 3mg?
In summary, tension is the force exerted on an object when it is pulled in opposite directions by a rope or cable. It is measured in units of force such as newtons or pounds and can be affected by factors such as pulling force, rope length and thickness, elasticity of the rope material, and pulling angle. If the rope is cut, the tension will decrease and become uneven along the remaining length. The tension in a rope can never be greater than the force applied, but it can increase if the rope is attached to a fixed point due to the reaction force.
An object with mass m is attached to a fixed structure with a rope with dimension R like in the figure. The object is dropped. Why is the tension in the lowest point of the movement 3mg?
- #2
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Using conservation of energy, what is the velocity of the mass at the lowest point? What is the radial acceleration at the lowest point? Treating the mass as a free body, what is the radial component of the force balance at the lowest point?
1. What is tension?
Tension is the force that is exerted on an object when it is pulled in opposite directions by a rope or cable. It is also known as stretching force.
2. How is tension measured?
Tension is measured in units of force, such as newtons (N) or pounds (lbs). It can also be measured using a tension meter or load cell.
3. What factors affect the tension of an object in a rope?
The tension of an object in a rope is affected by the magnitude of the pulling force, the length and thickness of the rope, and the elasticity of the rope material. The angle at which the rope is pulled also affects the tension.
4. What happens to the tension if the rope is cut?
If the rope is cut, the tension on the remaining part of the rope will decrease, as there is now one less direction of pulling force. The tension will also become uneven along the length of the rope.
5. Can the tension in a rope ever be greater than the force applied?
No, the tension in a rope can never be greater than the force applied, as the rope can only transmit the force applied to it. However, if the rope is attached to a fixed point, the tension can increase due to the reaction force from the fixed point.
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