Yes, using a FBD of the pulley in equilibrium.bulbasaur88 said:
It would be if the system was in equilibrium. Is it??
Tension in a string is the force that is applied along the length of the string. It is created by pulling on the string from both ends and is responsible for keeping the string taut and preventing it from sagging or breaking.
Tension is typically measured in units of force, such as Newtons (N) or pounds (lbs). It can also be measured indirectly by using instruments such as a spring scale or a dynamometer, which can measure the amount of force required to stretch or compress the string.
The magnitude of tension in a string depends on several factors, including the weight of the object being supported by the string, the length and thickness of the string, and the angle at which the string is pulled. Other factors such as friction, elasticity of the string, and external forces can also affect tension.
Tension can be calculated using the formula T = mg, where T is the tension in Newtons (N), m is the mass of the object in kilograms (kg), and g is the acceleration due to gravity (9.8 m/s^2). This formula assumes that the string is being pulled at a 90-degree angle.
The magnitude of tension in a string is important to know because it can affect the stability and safety of a system. If the tension is too low, the string may break or sag, causing the object to fall. If the tension is too high, it can put unnecessary strain on the string and other components of the system. Understanding the tension in a string can also help in designing and building structures that can withstand the appropriate amount of force.