If I have a steel cable pulling 5 degrees from straight down by 1500lbs. This cable goes up to the top of a 10 foot pole and is attached. Then I have a cable going out 20 feet in the opposite direction back to the ground. How many lbs. of force will be pulling at the end by the ground. Also what if I change the weight out to 45 degrees from down.
To calculate the amount of force at the end of the cable attached to the ground, we need to break down the forces acting on the system. Let's consider the scenario where the cable is pulling at 5 degrees from straight down.
First, we need to find the vertical component of the force. Since the cable is pulling at 5 degrees from straight down, the vertical force can be calculated as:
Vertical force = Pulling force * cos(θ)
= 1500 lbs * cos(5 degrees)
Next, we need to find the horizontal component of the force. Since the cable is going out 20 feet in the opposite direction, there is no horizontal force acting on the cable.
Since the force at the end of the cable is equal to the sum of the vertical and horizontal components of the force, the force at the end by the ground is:
Force at the end by the ground = √(Vertical force^2 + Horizontal force^2)
In this case, the horizontal force is 0, so the force at the end by the ground would simply be the vertical force:
Force at the end by the ground = Vertical force
To calculate the force at the end of the cable when it is pulling at 5 degrees from straight down, follow these steps:
1. Calculate the vertical force:
Vertical force = 1500 lbs * cos(5 degrees)
2. Calculate the force at the end by the ground:
Force at the end by the ground = Vertical force
To calculate the force at the end of the cable when it is pulling at 45 degrees from straight down, repeat the steps mentioned above, but substitute the angle of 5 degrees with 45 degrees:
1. Calculate the vertical force:
Vertical force = 1500 lbs * cos(45 degrees)
2. Calculate the force at the end by the ground:
Force at the end by the ground = Vertical force
By plugging in the appropriate values for each angle, you can calculate the force at the end of the cable for different scenarios.