You are a project manager for a manufacturing company. one of the machine parts on the assembly line is a thin, uniform rod that is 60.0 cm long and has mass 0.400 kg.

(a) what is the moment of inertia of this rod for an axis at its center, perpendicular to the rod?
(b) one of your engineers has proposed to reduce the moment of inertia by bending the rod at its center into a v-shape, with a 60.0∘ angle at its vertex. what would be the moment of inertia of this bent rod about an axis perpendicular to the plane of the v at its vertex?

a)

b)

Explanation:

Given that:

(a)

Moment of inertia of rod about its center and perpendicular to the rod is given as:

(b)

Moment of inertia on bending the rod to V-shape of 60 degree angle and axis being perpendicular to the plane of V at the vertex.

We treat it as two rod with axis of rotation at the end and perpendicular to the plane of rotation.

So, the mass and the length of the rod will become half of initial value.

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.