Final answer:
In physics, the force of tension needed to raise a mass can be found by summing the forces due to gravity and due to acceleration. Applying the relevant formulas leads to a total force of tension, which can then be converted to pounds if necessary.
Step-by-step explanation:
Based on the given information and context, if the resultant force acting on the support is to be 1200 lb, we are dealing with a problem in physics, specifically in the area of classical mechanics involving tension, gravity, and acceleration. To find the force of tension in a cable that raises a mass of 120.0 kg with an acceleration of 1.3 m/s2, we use the formula:
Ftension = Fgravity + Facceleration
Where:
- Fgravity = m * g
- Facceleration = m * a
For gravity, the force can be calculated using:
Fgravity = 120.0 kg * 9.8 m/s2 = 1176 N
For acceleration, the force can be calculated using:
Facceleration = 120.0 kg * 1.3 m/s2 = 156 N
Therefore, the total force of tension in the cable would be:
1176 N + 156 N = 1332 N
Since 1 lb is approximately equal to 4.448 N, the force in pounds would be:
1332 N / 4.448 N/lb ≈ 299.5 lb
In the context of a pulley system or when supporting a weight, the concepts of tension, equilibrium, and balancing forces are crucial for understanding how to calculate the necessary force to achieve a desired outcome.