Suppose a diving board with no one on it bounces up and down in a simple harmonic motion with a frequency of 4.00 Hz. The board has an effective mass of 10.0 kg. What is the frequency of the simple harmonic motion of a 75.0-kg diver on the board?

= 1.37 Hz

Explanation:

F =

Given that

Frequency of oscillation of the empty diving board when executing Simple harmonic motion = 4.00Hz

Mass of the diving board ,m= 10kg

Mass of the person on the diving board, M = 75kg

Let k be the stiffness constant of the diving board

Let F₂ be the frequency of the board with the person on it

Frequency of the diving board F₁ =

Frequency of the diving board with the person on it  

F₂ =

Squaring both the equations and dividing the second equation with first equation

F₂² / F₁² = m / (m+M)

the frequency of the diving board with the person

F₂ =

    =

    = 1.37 Hz

the frequency of the simple harmonic motion when the diver is on the board is = 1.37 Hz

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.

where are the vectors ?