The main difference between applied tension and tension due to weight is the source of the force. Applied tension is a force that is deliberately applied to an object, while tension due to weight is the force that is naturally exerted on an object due to its weight and the force of gravity.
To calculate applied tension, you need to know the force being applied and the area over which it is being applied. The formula for applied tension is T = F/A, where T is the applied tension, F is the applied force, and A is the area over which the force is applied.
The formula for calculating tension due to weight is T = mg, where T is the tension, m is the mass of the object, and g is the acceleration due to gravity (9.8 m/s^2 on Earth). This formula applies to objects that are not accelerating.
Yes, it is possible for both applied tension and tension due to weight to be present at the same time. For example, if you lift an object with your hands, you are applying tension to the object while also counteracting the tension due to its weight.
Tension due to weight can affect the stability of structures by exerting a pulling force on the structure. If the tension is too great, it can cause the structure to collapse or fail. Engineers must take into account tension due to weight when designing structures to ensure they can support the weight placed on them.