If a rope of lift breaks suddenly , the tensiin exerted by the surface of lift.
To determine the tension exerted by the surface of the lift when a rope breaks suddenly, we need to understand the concept of free-body diagrams and Newton's laws of motion.
When the rope breaks, the lift and the objects inside it experience an abrupt change in their motion. The tension previously present in the rope no longer exists, but now we have other forces acting on the lift.
Let's consider a simplified scenario where there are no other external forces acting on the lift, except gravity. In this case, the lift will start to accelerate downwards due to the force of gravity.
To find the tension on the surface of the lift, we need to apply Newton's second law of motion, which states that the sum of all forces acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
In this scenario, the force of gravity is the only force acting on the lift, and it is equal to the weight of the lift, which is the mass of the lift multiplied by the acceleration due to gravity (Fg = mg).
Since the lift is accelerating downwards, its acceleration is positive. Substituting the force of gravity in Newton's second law, we get:
F = ma
mg = ma
Here, "m" represents the mass of the lift, and "a" represents its acceleration.
Dividing both sides of the equation by "m", we find:
g = a
This equation shows that the acceleration of the lift due to gravity is equal to the acceleration of the lift itself. So, the tension exerted by the surface of the lift when the rope breaks suddenly is equal to the weight of the lift, which is equal to mg.
Please note that this analysis assumes no air resistance and neglects any other forces that might be present in a realistic scenario. Additionally, the nature of the fracture, the structure of the lift, and various other factors can affect the behavior and tension distribution within the lift.