bigboss said:Homework Statement
Find the tension in a rope with a 60kg man hanging on one side and a 100 kg box on the other side. The box is sitting on the ground.
Homework Equations
Fnet= Tension- Force of Gravity
m1a=t-m1g
m2a=t-m2g
The Attempt at a Solution
I found acceleration which was 2.45, and i plugged it back into formula and got the wrong answer. I know the answer is 603 N, however, i forgot how i came to that answer.
Lord Dark said:If a = 0 and there is N ,, the Tension of the man is different than the box right ??
m1g-T1-N=0
T2-m2g=0
are these equations right ?
Tension is the force exerted on an object by a rope, cable, or similar object when it is pulled or stretched. In other words, tension is the pulling force that is transmitted through a medium, such as a rope, when it is pulled from opposite ends.
The tension in a rope is affected by the weight of the object hanging from it, the angle at which the rope is pulled, and the strength and elasticity of the rope itself. Other factors such as external forces and friction can also affect tension.
To calculate tension in a rope, you need to know the weight of the object hanging from the rope and the angle at which the rope is being pulled. You can then use the formula T = mg/sinθ, where T is the tension, m is the mass of the object, g is the acceleration due to gravity (9.8 m/s2), and θ is the angle at which the rope is being pulled.
The weight of the object directly affects the tension in a rope. The heavier the object, the greater the tension in the rope. This is because the weight of the object creates a larger downward force, which must be counteracted by an equal and opposite upward force from the rope.
Finding the tension in a rope is important in many real-world applications, such as construction, engineering, and physics experiments. It allows us to understand and predict the behavior of objects and structures under different forces, and helps us ensure the safety and stability of these systems.