How do you solve compound body problems with three masses and one pulley?

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In summary, the conversation is about a problem involving a 40 kg mass being replaced by a 65 kg mass with a frictional coefficient of 0.30. The person is seeking help with finding the acceleration and tensions of the system, but is reminded to show an attempt before receiving assistance.
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Stradivarius
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http://www.chegg.com/homework-help/questions-and-answers/consider-situation-shown-figure-40-kg-mass-replaced-65-kg-mass-frictional-coefficient-0301-q1351583

I missed class recently, and I don't understand how to do compound body problems. Any help would be appreciated!
 
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Stradivarius said:
http://www.chegg.com/homework-help/questions-and-answers/consider-situation-shown-figure-40-kg-mass-replaced-65-kg-mass-frictional-coefficient-0301-q1351583

I missed class recently, and I don't understand how to do compound body problems. Any help would be appreciated!
Hello Stradivarius. Welcome to PF !

The problem given in that link.
attachment.php?attachmentid=52817&stc=1&d=1352518721.gif

Consider the situation shown in the figure but with the 4.0- kg mass replaced by a 6.5- kg mass. The frictional coefficient is 0.30.

1) Find the acceleration of the system.  2) What is the tension T1?  3) What is the tension T2?


Do you have any ideas at all regarding how to solve part 1) ?

(According to the rules of this Forum, you need to show an attempt, before we can help you.)
 

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FAQ: How do you solve compound body problems with three masses and one pulley?

What is a "Three masses one pulley" system?

The "Three masses one pulley" system is a physical setup where three objects, called masses, are connected by a single pulley. The pulley is a simple machine that can change the direction of a force and is used to transmit force and motion between the masses. The system is commonly used in physics experiments to study the principles of mechanics.

How does the pulley affect the motion of the masses?

The pulley affects the motion of the masses by changing the direction of the applied force. When one mass moves down, the other mass on the opposite side of the pulley moves up. This is due to the conservation of energy, where the total energy in the system remains constant. The pulley also reduces the amount of force needed to move the masses, making it easier to study the effects of different forces on the system.

What are the different types of three-mass one pulley systems?

There are two main types of three-mass one pulley systems: Atwood's machine and the modified Atwood's machine. In Atwood's machine, two of the masses are equal while the third mass is different. In the modified Atwood's machine, all three masses are different. Both types of systems are commonly used in physics experiments to study the principles of mechanics.

How do we calculate the acceleration of the masses in this system?

The acceleration of the masses in a three-mass one pulley system can be calculated using Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this system, the net force is equal to the difference between the two masses multiplied by the acceleration. By setting up and solving equations, we can calculate the acceleration of the masses.

What are some real-life applications of the "Three masses one pulley" system?

The "Three masses one pulley" system has several real-life applications, including elevators, cranes, and weightlifting machines. In elevators, the pulley system is used to lift and lower the elevator car. In cranes, the pulley system is used to lift heavy objects. In weightlifting machines, the pulley system is used to reduce the amount of force needed to lift weights, making it easier for people to exercise and build muscle.

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