What is the mass of the other block in this block and pulley system?

In summary, to find the mass of the other block, we can apply Newton's second law for both blocks since they must move with the same acceleration and experience the same tension in the string. By setting up equations for both blocks and solving for the tension, we can then use the given distance and time to find the acceleration and ultimately determine the mass of the unknown block.
  • #1
candykane91
7
0

Homework Statement


The 100 kg block in figure takes 5.60 s to reach the floor after being released from rest.
What is the mass of the other block. The distance between the 100 kg block and the floor is 1m.


Homework Equations


f=ma
Xf=Xi+Vi(Tf-Ti)+(.5)(a)(Tf-Ti)^2


The Attempt at a Solution


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  • #2
Both blocks must move with the same acceleration. Tension in the string is the same. Apply the Newton's second law for both the masses.
Like for the known mass
100*g - T = 100*a.
Similarly write down the equation for the unknown mass. Solve for T.
Distance moved by the block is given and time is given. Using the relevant equation find the acceleration. Using T and a, find the unknown mass.
 
  • #3
rl.bhat said:
Both blocks must move with the same acceleration. Tension in the string is the same. Apply the Newton's second law for both the masses.
Like for the known mass
100*g - T = 100*a.
Similarly write down the equation for the unknown mass. Solve for T.
Distance moved by the block is given and time is given. Using the relevant equation find the acceleration. Using T and a, find the unknown mass.

k thanks that did the trick
 

1. How does a block and pulley system work?

A block and pulley system uses a combination of fixed and movable pulleys to reduce the amount of force needed to lift an object. The rope or chain is looped around the pulleys, allowing for a change in direction and a decrease in the force required to lift the object.

2. What is the advantage of using a block and pulley system?

The main advantage of a block and pulley system is that it reduces the amount of force needed to lift an object. This makes it easier to lift heavy objects, and can also help to distribute weight evenly across multiple pulleys.

3. How do I calculate the mechanical advantage of a block and pulley system?

The mechanical advantage of a block and pulley system is equal to the number of supporting ropes or chains that are attached to the moving block. For example, if there are two supporting ropes, the mechanical advantage would be 2.

4. Is there a limit to the amount of weight that can be lifted with a block and pulley system?

There is no limit to the amount of weight that can be lifted with a block and pulley system, as long as the system is properly designed and the ropes or chains are strong enough to support the weight. However, the more pulleys that are used, the more friction will be created, making it less efficient.

5. Can a block and pulley system be used for horizontal movement?

Yes, a block and pulley system can be used for horizontal movement. By attaching the rope or chain to an object and pulling on the opposite end, the object can be moved horizontally. However, the mechanical advantage will be less than when lifting an object vertically.

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