Water is drawn from a well in a bucket tied to the end of a rope whose other end wraps around a solid cylinder of mass 50 kg and diameter 25 cm. as this cylinder is turned with a crank, the rope raises the bucket. the mass of a bucket of water is 20 kg. someone cranks the bucket up and then lets go of the crank, and the bucket of water falls down to the bottom of the well. without friction or air resistance, what is the angular acceleration of the 50-kg cylinder?

Explanation:

Given:

When the bucket is released to fall in the well, it fall under the acceleration due to gravity.

We have formula for angular acceleration as:

where:

g = acceleration due to gravity

r = radius of the cylinder

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

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