Given DIAGRAM 1.1 where FT means Tension and W means Weight, calculate the tension on the steel cable given the following conditions:
A. The cargo is stationary.
B. The cargo accelerates upward at a rate of 0.25 m/(s^2)
DIAGRAM 1.1
Question 1.1
What is the tension in Condition A?
Question 1.2
What is the tension in Condition B?
To solve this problem, we need to apply Newton's second law and consider the forces acting on the cargo.
In Condition A, where the cargo is stationary, the tension in the steel cable would be equal to the weight of the cargo. Let's assume the weight of the cargo is represented by W.
Therefore, the tension in Condition A would be T = W.
In Condition B, where the cargo accelerates upward at a rate of 0.25 m/(s^2), we need to consider the additional force acting on the cargo due to this acceleration.
The forces acting on the cargo are the tension in the cable (T) and the weight of the cargo (W). The tension in the cable provides an upward force, while the weight of the cargo provides a downward force.
According to Newton's second law (F = ma), the net force acting on the cargo is equal to the mass of the cargo multiplied by its acceleration. In this case, the net force is the difference between the tension and the weight, and the acceleration is given as 0.25 m/(s^2).
Therefore, T - W = m * a
To calculate the tension in Condition B, we need additional information such as the mass of the cargo (m) or the weight of the cargo (W). Without this information, we cannot determine the exact tension in Condition B.