Application of Newton's Laws to Systems of Masses with Ropes
Not what you're looking for?
Solve for No. 1 to No. 5 Tension (forces)
Tension = ?
(See attached file for diagrams)
Purchase this Solution
Solution Summary
This solution helps with the application of Newton's Laws to systems of masses with ropes. We show how to calculate tension in ropes for given systems of masses and ropes, using Newton's laws. Step by step calculations with explanations are given.
Solution Preview
To solve these problems, we apply Newton's second law at each junction of ropes. Since each of these problems is static, the sum of forces, due to the tensions in each rope, must be zero in each case. We solve these problems by looking at the x-compent (horizontal) and y-component (vertical) of the forces at each junction.
28. Clearly we have T1 = 100 pounds, since the tension in rope 1 is holding up the 100-pound weight.
To solve for T2 and T3, first note that they are equal by symmetry. Considering the z-component of the forces acting on junction 123, we find
-T1 + (T2 + T3) sin 45 = 0
-100 + 2 T2 sqrt(2)/2 = 0
T2 sqrt(2) = 100
T2 = T3 = 100/sqrt(2) = 70.7 ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts