Blockk on a table with a pulley

In summary, the equations to find the tension in the string are T-F_k=m_1*a and T-m_2g=-m_2*a, where T represents tension, F_k is the kinetic friction force, m_1 and m_2 are the masses of the hanging object and the sliding block respectively, and a is the common acceleration for both objects.
  • #1
atwood9
1
0
A 8.10-kg hanging object is connected by a light, inextensible cord over a light, frictionless pulley to a 5.00-kg block that is sliding on a flat table. Taking the coefficient of kinetic friction as 0.190, find the tension in the string.

I don't know if my equations are right or where to go from here:
T-m2g=m2a2
Fk-T-m1gsin(90)=m1a1
 
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  • #2
"Fk-T-m1gsin(90)=m1a1"
What does this mean?

You have TWO forces acting on the horizontally lying block, the tension, which we will say drives the block in the positive x-direction, the friction in the negative.

Furthermore, as block 2 accelerates DOWNWARDS, a direction you with gravity has said is in a negative direction, block 1 is accelerating equally in the positive x-direction. We call that common acceleration "a"

Thus, we write:
T-F_k=m_1*a
T-m_2g=-m_2*a
 

Related to Blockk on a table with a pulley

1. What is a block on a table with a pulley?

A block on a table with a pulley is a simple machine system that consists of a block or object sitting on a table and a pulley attached to the block and the table. The pulley is a wheel with a groove that allows a rope or cable to run through it.

2. How does a block on a table with a pulley work?

The pulley in a block on a table with a pulley system allows for changes in the direction of the force needed to move the block. When one end of the rope is pulled down, the other end of the rope attached to the block is pulled up, allowing for the block to be moved without having to lift it directly.

3. What are the advantages of using a block on a table with a pulley?

The main advantage of using a block on a table with a pulley is that it reduces the amount of force needed to move an object. It also allows for changes in the direction of the force, making it easier to move objects in different directions. Additionally, it can be used to lift heavy objects that would otherwise be too difficult to lift without the use of a pulley.

4. What are some real-life applications of a block on a table with a pulley?

A block on a table with a pulley is commonly used in construction and engineering projects. It is also used in everyday items such as elevators, cranes, and even exercise equipment. The pulley system is also used in rock climbing and sailing to hoist heavy objects or raise and lower people.

5. Are there any variations of a block on a table with a pulley?

Yes, there are different types of pulleys that can be used in a block on a table with a pulley system. These include fixed pulleys, movable pulleys, and compound pulleys. Fixed pulleys have a stationary axle and are used to change the direction of the force. Movable pulleys have a movable axle and are used to increase the mechanical advantage. Compound pulleys combine both fixed and movable pulleys to increase the mechanical advantage even further.

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