determine the tension in each cable below. draw a force diagram for the system before solving the problem. Case A- ball suspended on one cable Case B- ball suspended on by two cables

To determine the tension in each cable, we need to draw a force diagram for the system and solve the problem.

Case A: Ball suspended on one cable

In this case, there is only one cable suspending the ball. The force diagram would look like this:

Tension (upward force)
|
<-----O-----> (ball)

Tension is the only force acting on the ball, pulling it upwards. Since there are no other forces, the tension in the cable is equal to the weight of the ball. The weight of an object is given by the formula W = m * g, where m is the mass of the object and g is the acceleration due to gravity.

So, to find the tension in the cable, you need to know the mass of the ball and the value of the acceleration due to gravity. Once you have those values, you can use the formula W = m * g to calculate the weight of the ball, which is equal to the tension in the cable.

Case B: Ball suspended by two cables

In this case, there are two cables suspending the ball. The force diagram would look like this:

Tension 1 Tension 2
| |
O (ball)
| |

In this case, we have two forces acting on the ball: Tension 1 and Tension 2. Since the ball is in equilibrium (not moving), the sum of the upward forces (tensions) must be equal to the weight of the ball.

So, to find the tensions in each cable, you need to know the mass of the ball and the value of the acceleration due to gravity, just like in Case A. Once you have those values, you can use the formula W = m * g to calculate the weight of the ball. Since the sum of the tensions is equal to the weight, you can split the weight evenly between the two cables to find the tensions in each cable.

By following these steps and using the appropriate formulas, you can determine the tension in each cable for both Case A and Case B.