A string (A) hanging from the ceiling has a 1 kg mass attached to it and hanging below this mass is string (B) with a 2 kg mass attached. Both of the strings are massless.
How do I calculate the tension in Cord B? I have tried several times with different snwers. Please help
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String B applies a force on the 2 kg mass, to balance that mass's 2 g = 19.6 N weight. The 1 kg mass has not effect upon the tension in cord B
To calculate the tension in cord B, you need to consider the forces acting on the system. In this case, there are two forces to consider: the gravitational force acting on each mass and the tension in cord A.
First, let's calculate the gravitational force acting on each mass. The gravitational force on an object is given by the formula F = m * g, where F is the force, m is the mass, and g is the acceleration due to gravity (approximately 9.8 m/s² on Earth).
For the 1 kg mass hanging on cord A, the gravitational force will be F₁ = 1 kg * 9.8 m/s² = 9.8 N (Newton).
For the 2 kg mass hanging on cord B, the gravitational force will be F₂ = 2 kg * 9.8 m/s² = 19.6 N.
Next, let's determine the tension in cord A. The tension in cord A must balance the weight of the 1 kg mass and also provide enough force to support the 2 kg mass hanging below it. Therefore, the tension in cord A will be equal to the sum of the forces acting on the 1 kg mass and the 2 kg mass:
Tension in cord A = F₁ + F₂ = 9.8 N + 19.6 N = 29.4 N.
Lastly, to find the tension in cord B, we need to consider that the 1 kg mass below it exerts a force on cord B. Since the string is massless, the tension in cord B will be the same as the tension in cord A:
Tension in cord B = Tension in cord A = 29.4 N.
Therefore, the tension in cord B is 29.4 N.