A block and tackle pulley system is used to lift a mass of 200
kg.if the machine has a velocity ratio of 5 and efficiency of 80%.sketch the possible arrangement of the system
Answer is what
To sketch the possible arrangement of the block and tackle pulley system, we need to understand the basic components and how they are arranged.
A block and tackle pulley system consists of multiple pulleys and ropes (or chains) that are looped around the pulleys. The basic idea behind this system is to use the mechanical advantage of the pulleys to make it easier to lift heavy loads.
In this case, the system is used to lift a mass of 200 kg. The velocity ratio is given as 5, which means that for every 5 meters of rope pulled, the load will be raised 1 meter.
The efficiency is given as 80%, which means that only 80% of the input work is used to lift the load, while the remaining 20% is lost due to friction and other factors.
Based on these details, we can sketch a possible arrangement of the system:
1. Start by drawing the load, which is a mass of 200 kg, as a rectangle or any other suitable shape.
2. Draw two fixed pulleys on the top, one on each side of the load.
3. Loop a rope around the first fixed pulley, then connect it to a movable pulley.
4. Loop the rope around the movable pulley and connect the other end to a second fixed pulley.
5. Finally, bring the rope down to ground level and attach it to an input force, such as a person pulling or a motor.
Remember that the mechanical advantage and velocity ratio of the system can be increased by adding more pulleys and reducing the weight of each pulley. This allows for easier lifting of heavier loads.
Note: The sketch is a representation of the general arrangement of a block and tackle pulley system and may not be to scale or represent all possible variations of the system.
To sketch the possible arrangement of the block and tackle pulley system, we need to understand how it works.
A block and tackle pulley system consists of multiple pulleys connected together with ropes or cables. The arrangement includes a fixed or stationary pulley (attached to a support) and a movable or lifting pulley (attached to the load). The rope or cable loops around these pulleys, creating multiple sections of rope.
In this system, the load is shared by multiple sections of rope, which reduces the amount of force required to lift the load. The velocity ratio (VR) is the ratio of the distance the rope is pulled to the distance the load is lifted.
Given that the velocity ratio is 5, it means that for every 5 meters of rope pulled, the load will be lifted by 1 meter.
Now, let's determine the number of pulleys in the system.
The velocity ratio of a block and tackle pulley system is calculated using the formula:
VR = 2^n
Where n is the number of pulleys.
So for a velocity ratio of 5, we can find the value of n as follows:
5 = 2^n
By solving this equation, we find that the number of pulleys in the system is approximately 2.32. Since we cannot have a fraction of a pulley, we need to round this value up to the nearest whole number. Therefore, we can have either 2 or 3 pulleys in the system.
For the sake of simplicity, let's consider a system with 2 pulleys. In this case, there would be one stationary pulley and one lifting pulley.
Here is a possible arrangement of the 2-pulley block and tackle system:
```
o Fixed Pulley (Stationary)
|
------------------
----| |
| o o Pulley
| Load Lifting
| Pulley
|____ |
------------------
|
```
Please note that this is just one possible arrangement, and the actual arrangement may vary based on the specific design and setup of the system.