# Finding W1 & W2 Given Frictionless Pulley System

• mrdoods
In summary, the conversation discusses a system with frictionless pulleys hanging at equilibrium. The weight of the object on the right is given as 200N and the question is posed to find the values of w1 and w2. The attempt at a solution involves using the equations T1sin50+T2sin35-W1=0 and T1(0.766)+T2(-0.422)-W1=0, but it is unclear why sin is being used and another equation may be needed to solve for the two weights.
mrdoods
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welcome to pf!

hi mrdoods! welcome to pf!

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mrdoods said:
T1sin50+T2sin35-W1=0
T1(0.766)+T2(-0.422)-W1=0
?

(i think you have your 1 2 and 3 mixed up )

why are you using sin ?

and you have two unknowns, so won't you need another equation also?

## 1. How do I find W1 and W2 in a frictionless pulley system?

In order to find W1 and W2 in a frictionless pulley system, you need to first determine the forces acting on the system. This includes the applied force, the weight of the objects, and the tension in the rope. Once you have determined these forces, you can use Newton's second law (F=ma) to set up equations and solve for W1 and W2.

## 2. Is the weight of the objects the same as their mass in a frictionless pulley system?

Yes, the weight of an object is equal to its mass multiplied by the acceleration due to gravity (W=mg). In a frictionless pulley system, the weight is the force that is pulling down on the object due to gravity, and the mass remains constant.

## 3. Can the tension in the rope be different on each side of the pulley in a frictionless pulley system?

Yes, the tension in the rope can be different on each side of the pulley in a frictionless pulley system. This is because the tension is dependent on the forces acting on the system, which may vary depending on the weight and applied force of the objects.

## 4. What is the role of the frictionless pulley in this system?

The frictionless pulley serves to redirect the force and change the direction of the motion. It allows for the weight of the objects to be distributed evenly and for the tension in the rope to be maintained, resulting in a balanced system.

## 5. Can the mass or weight of the objects affect the final result in a frictionless pulley system?

Yes, the mass and weight of the objects can affect the final result in a frictionless pulley system. This is because these factors determine the forces acting on the system, and therefore impact the equations used to solve for W1 and W2. It is important to accurately measure and consider the mass and weight of the objects in order to find the correct values for W1 and W2.

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