# What is the maximum tension in cable ABAD?

• Apprentice123
In summary, the problem is to determine the maximum value for the traction force in cable ABAD, given that the moment of the resulting force Ra applied at point A must not exceed 217 N.m on the z axis.

#### Apprentice123

A small boat hangs from two brackets, one of which is shown in the figure. It is known that the moment, on the z axis, the resulting force Ra applied in the point A of support must not exceed the value of 217 N.m, in value absolute. Determine the more value possible the traction force in cable ABAD.

Not understand the problem. What is the issue? How can I fix?

Figure:
http://img21.imageshack.us/my.php?image=318x.jpg

196 N

Apprentice123 said:
A small boat hangs from two brackets, one of which is shown in the figure. It is known that the moment, on the z axis, the resulting force Ra applied in the point A of support must not exceed the value of 217 N.m, in value absolute. Determine the more value possible the traction force in cable ABAD.

Hi Apprentice123!

It means, if the moment of RA about that z-axis is 217 N.m, what is the tension in the cable?

The maximum tension in cable ABAD can be determined by using the equation T = Ra x d, where T is the tension, Ra is the resulting force at point A, and d is the distance between point A and point B. In this case, the maximum value of Ra is given as 217 N.m, and the distance between A and B can be calculated as 0.5 meters (half the length of the boat). Therefore, the maximum tension in cable ABAD is 217 N.m x 0.5 m = 108.5 N. However, since the question asks for the absolute value, the maximum tension would be 108.5 N x 2 = 217 N. This means that the maximum possible tension in cable ABAD would be 217 N.

## 1. What is a moment on axis?

A moment on axis, also known as a moment of force, is a measure of the tendency of a force to rotate an object around an axis. It is calculated by multiplying the magnitude of the force by the distance from the axis to the line of action of the force.

## 2. How is a moment on axis calculated?

The formula for calculating a moment on axis is M = F*d, where M is the moment, F is the magnitude of the force, and d is the distance from the axis to the line of action of the force. The unit for moment is newton-meters (Nm).

## 3. What is the difference between a moment on axis and torque?

A moment on axis and torque are essentially the same thing, but they are used in different contexts. Torque is typically used in the context of rotating objects, such as a wheel or a lever, while moment on axis is used in the context of statics and the equilibrium of forces.

## 4. How does the direction of the force affect the moment on axis?

The direction of the force affects the moment on axis by determining whether the force produces a clockwise or counterclockwise rotation. A force that is perpendicular to the axis will produce the maximum moment, while a force that is parallel to the axis will produce no moment.

## 5. What are some real-world applications of moments on axis?

Moments on axis are used in various engineering and physics applications, such as designing structures to withstand external forces, calculating the stability of structures or objects, and analyzing the motion of rotating objects. They are also used in everyday tasks, such as using a wrench to loosen a bolt or opening a door.