Double Pulley Mechanics Problem

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The double pulley mechanics problem involves two pulleys with masses of 4.1kg and 6.9kg, and a crate weighing 57.2kg, with the rope being pulled at a 45-degree angle. The discussion centers on determining the minimum tension required to slowly raise the crate, questioning whether torque or Newton's second law should be applied. It is suggested that pulley 1 can be ignored since it is not being lifted, while pulley 2 must be included in the calculations. The vertical component of the tension must counterbalance the combined weight of the crate and pulley 2. A drawing of the forces acting on the masses is recommended for clarity in solving the problem.
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Homework Statement


it is a double pulley problem, mass of pulley 1 is 4.1kg, mass of pulley 2 is 6.9kg and mass of crate is 57.2kg.
both pulleys are frictionless. the angle at which the rope is pulled is 45deg. What is the minimum tension with which the operator must pull on the cable (negligible mass) in order to slowly raise the crate?

Homework Equations


i was wondering if this was a torque problem of simply a one dimensional problem involving pulleys? also do we need to use Newtons second law?

The Attempt at a Solution


I tried ignoring the masses of the pulleys since we have not yet learn torque but the answer was wrong. however the radius of the pulleys are not given so i am not sure i can use torque for this problem?

Here is the image : https://s.yimg.com/hd/answers/i/ff7b49a654fb4768a4d9902f8dc5ac60_A.png?a=answers&mr=0&x=1413224583&s=0388b130543c86fed3259f977c0872ce
 
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MissBisson said:

Homework Statement


it is a double pulley problem, mass of pulley 1 is 4.1kg, mass of pulley 2 is 6.9kg and mass of crate is 57.2kg.
both pulleys are frictionless. the angle at which the rope is pulled is 45deg. What is the minimum tension with which the operator must pull on the cable (negligible mass) in order to slowly raise the crate?

Homework Equations


i was wondering if this was a torque problem of simply a one dimensional problem involving pulleys? also do we need to use Newtons second law?

The Attempt at a Solution


I tried ignoring the masses of the pulleys since we have not yet learn torque but the answer was wrong. however the radius of the pulleys are not given so i am not sure i can use torque for this problem?

Here is the image : https://s.yimg.com/hd/answers/i/ff7b49a654fb4768a4d9902f8dc5ac60_A.png?a=answers&mr=0&x=1413224583&s=0388b130543c86fed3259f977c0872ce
I believe you can ignore pulley 1, as it is not being lifted, but you have to include pulley 2. Pulling on the cable lifts both the crate and pulley 2. The vertical component of the tension will be equal in magnitude to the downward force that comes from the crate and pulley 2. You need to figure out what the tension T is.

BTW, this is not an advanced physics problem, so I moved it to the Intro Physics section.
 
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No need for torques, just forces is enough.
Make a drawing with the forces working on the masses. Which ones have to be dealt with by the rope ?
 
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