Solve Tension on Rope: 50kg Mass, 50m Length, 100m Height

In summary, to calculate the tension on a rope, use the formula T = mg + ma, where T is the tension, m is the mass, g is the acceleration due to gravity, and a is the acceleration. The length of the rope does not directly affect the tension, but a longer rope may experience greater tension due to its weight and the weight of the attached mass. The height at which the mass is suspended does affect the tension, as it increases with a higher height. To decrease tension, you can decrease the mass or height, or use a stronger rope. Tension is typically measured in Newtons or pounds, depending on the measurement system.
  • #1
josey584
3
0

Homework Statement


An object of 50kg mass is attached to a rope of 50m length with a hook. The rope is hooked at the other end to a fixed point on a helicopter.
The object is dropped from a height of 100m.
What will be the tension on rope?
No other parameters are available. What are the other parameters required to solve the problem and what are the equations to be used?


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
Welcome to PF!

Hi josey584! Welcome to PF! :wink:

Tell us what you think, and then we'll comment. :smile:
 

FAQ: Solve Tension on Rope: 50kg Mass, 50m Length, 100m Height

How do I calculate the tension on the rope?

To calculate the tension on the rope, you will need to use the formula T = mg + ma, where T is the tension, m is the mass, g is the acceleration due to gravity (9.8 m/s^2), and a is the acceleration (in this case, 0 m/s^2 since the mass is not moving). In this scenario, the tension would be equal to 4900 N.

How does the length of the rope affect the tension?

The length of the rope does not directly affect the tension. However, if the rope is longer, it may experience greater tension due to its weight and the weight of the mass attached to it. The tension would also increase if the rope is stretched or pulled taut.

Is the tension on the rope affected by the height at which the mass is suspended?

Yes, the height at which the mass is suspended does affect the tension on the rope. As the mass is raised to a higher height, the tension on the rope will increase due to the force of gravity pulling down on the mass.

How can I decrease the tension on the rope?

To decrease the tension on the rope, you can either decrease the mass attached to the rope or decrease the height at which the mass is suspended. You can also use a stronger or thicker rope that is better able to withstand the weight and tension.

What are the units of measurement for tension?

Tension is typically measured in Newtons (N) in the metric system. In the imperial system, it can be measured in pounds (lbs) or pounds-force (lbf). In this scenario, the tension would be measured in Newtons, since the units of mass (kg) and acceleration (m/s^2) are in the metric system.

Similar threads

Replies
11
Views
1K
Replies
6
Views
2K
Replies
1
Views
2K
Replies
1
Views
1K
Replies
1
Views
6K
Replies
13
Views
2K
Back
Top