What is the circumference of a circle with a diameter of 1.2 meters?

  • Thread starter Samad
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In summary, when cylinder A rolls 5m down the slope, mass B is lifted by 10m. This is calculated by adding the circumference of the circle (3.77m) and the distance the cylinder rotates after rolling downhill.
  • #1
Samad
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Cylinder A in following figure rolls 5m down the slope. What distance is mass B lifted?
( Ans. SB= 10 m )

pulley.jpg


circumference of circle = πd = (3.14)(1.2) = 3.77

Not sure what to do next. I tried Pythagoras theorem, although it's probably not needed.

Please help.
 
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  • #2
So the rope winds around the cylinder while the cylinder is moving down the hill. Suppose the rope doesn't wind around the cylinder. By how much would B be lifted? By how much does the cylinder rotate after it rolls 5 m downhill? Add the two distances together and you get 10 m.
 
  • #3
Thanks man. It makes perfect sense to me now.
 

1. How does a pulley system work?

A pulley system consists of a wheel with a grooved rim and a rope or cable that runs along the groove. When a force is applied to one end of the rope, it creates tension and causes the wheel to rotate, lifting or moving the load attached to the other end of the rope.

2. What are the different types of pulleys?

There are three main types of pulleys: fixed, movable, and compound. 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 reduce the effort needed to lift a load. Compound pulleys combine fixed and movable pulleys to increase the mechanical advantage.

3. How do you calculate the mechanical advantage of a pulley system?

The mechanical advantage of a pulley system is calculated by dividing the load weight by the effort force. For example, if a load of 100 pounds is lifted with an effort force of 20 pounds, the mechanical advantage is 100/20 = 5. This means that the pulley system reduces the effort needed to lift the load by a factor of 5.

4. What is the difference between a single pulley and a multiple pulley system?

A single pulley has one wheel and one rope, while a multiple pulley system has two or more wheels and ropes. Multiple pulleys allow for a greater mechanical advantage and can lift heavier loads with less effort. However, they also require more space and may be more complex to set up.

5. What are some real-world applications of pulley systems?

Pulley systems are used in a variety of industries, including construction, transportation, and manufacturing. They are commonly used in cranes, elevators, escalators, and conveyor belts to lift and move heavy objects. Pulleys can also be found in everyday objects like flagpoles, window blinds, and exercise equipment.

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