Tension rope and pulley problem

F is the net force, m is the mass, and a is the acceleration. However, in this situation, there are two masses and two accelerations to consider. One way to approach this problem is to consider the forces acting on each individual mass separately. In summary, the problem involves two masses connected by a rope on a pulley, with one mass on an incline of 30 degrees and the other hanging vertically. The goal is to find the tension in the rope. The correct solution involves using the equation F=ma and considering the forces acting on each mass separately.
  • #1
EV33
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Homework Statement



mass 1=mass 2= 5
theta=30

Mass 1 and mass 2 are connected by a rope on a pulley. Mass 1 is on an incline of 30 degrees, and mass 2 is hanging vertically. Find the tension of



The Attempt at a Solution



mgsin(theta)= force of gravity of mass 1 down the incline

mg= weight force of mass 2

mg+mgsin(theta)=Tension


The correct answer is (g(mass1)(mass2)(1+sin(theta)))/(mass1+mass2)

Can anyone please help me uderstand how to arrive at the correct answer?
 
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  • #2
If the question needs more clarification to be answered just let me kow.
 
  • #3
2. The only relevant equation I can think of F=ma
 

1. What is a tension rope and pulley problem?

A tension rope and pulley problem is a type of physics problem that involves calculating the forces and motion of objects connected by a rope and pulley system. It is often used to study concepts such as tension, gravity, and friction.

2. How do I solve a tension rope and pulley problem?

To solve a tension rope and pulley problem, you will need to identify all the forces acting on the objects in the system, such as the weight of the objects and the tension in the rope. Then, you can use Newton's laws of motion and other relevant equations to find the unknown quantities.

3. What are some common assumptions made when solving a tension rope and pulley problem?

Some common assumptions made when solving a tension rope and pulley problem include assuming that the rope and pulley are massless, neglecting air resistance, and assuming that the rope does not stretch or slip. These assumptions may vary depending on the specific problem.

4. What are some real-world applications of tension rope and pulley problems?

Tension rope and pulley problems have many real-world applications, such as in engineering and construction where pulley systems are used to lift heavy objects. They are also used in weightlifting and rock climbing equipment to distribute tension and force.

5. What are some tips for solving tension rope and pulley problems?

Some tips for solving tension rope and pulley problems include drawing a clear diagram of the system, labeling all the forces and angles involved, and breaking down the problem into smaller parts if necessary. It is also important to double-check your calculations and units to ensure accuracy.

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