Hello. I love your video 👍🏼 One suggestion that would be helpful: please group your videos into playlists. It makes it easier to find information on the viewer side.
Thank you! Yes, I have been meaning to group them in playlists to make it easier to find the information. I'm hoping to get there soon! Thank you for the suggestion, I really appreciate it!
19:30 You are using an extremely dirty trick to obtain \ddot\theta because \theta and \dot\theta are supposed to be independent variables so there is no derivative of \dot\theta wrt. \theta. I suggest using Dr. Walter Lewin approach to this problem in ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-hDSZ4Nf-REw.html
Our bodies are mostly made up of water, which has an extremely high specific heat. This allows us to not be burned by absorbing little heat as we sprint across.
The person is not being impaled by the nails because of the distribution of their weight. As the person is laying on multiple nails the nails do not puncture the person as they would if all the person's weight was on one nail.
The person laying on the bed of nails is not being punctured because the total weight of the person is spread out over a larger area than say if this person would just be standing on 1 nail. This allows each nail to exert a small force back onto the person. Therefore the pressure will be less as the denominator constant of area increases
The person's weight is spread out over a lot of nails. Each single nail pushes back onto the person with a smaller force allowing the person not be become impaled.
The person isn't impaled because their weight is spread out over multiple nails. Each nail exerts a small force on the person rather than one nail exerting a big force.
When a person lies on a bed of nails, the person's body weight is spread out over multiple nails. This means that the amount of force that the person's weight is applying to the bed is spread out, which in terms of pressure means that the body's force is the same while the area is larger, so the pressure is also less.
Since the force mg of your body is not all confined to one nail, and instead spread out across many nails, you are not impaled. The area over which the force of your weight is applied is spread out.
The person isn't impaled because for a given force the person exerts, as the area the force is exerted over gets larger, the pressure gets smaller due to a larger denominator in the equation.