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Hold the top block in place with a spring loaded ball mechanism. Check out cupboard latches or spring loaded latches as an example. Also known as ball and detent...

Often seen instructions to rotate something about the centre by 90 degrees or 180 degrees... But for use in calculations radians can be easier for units.

Consider using two of the trailing ones you show at one end and find two similar that are fixed ie not trailing at the other end. This will give stability and manouverabilty as well.

I can think of two options: 1) have the arms connected by gears at the pivot point - when one is moved so will the other, in fact one could be fixed... 2) connect the arms with a threaded rod (needs …

Use two drive rollers with the paper gripped between, then drive the rollers with a stepper motor or even a cam and switch to control the length. That way the diameter of the supply roller is moot.

You will increase the friction due to two sets of balls and lubricants with the races. Also, this will cause more play in the system... If it worked and gave an advantage then it would be used by th …

In similar situations I have improvised a ramp. This makes things much safer imho. I did this to get solar thermal panels up about 15 feet. I used 4 scaffold boards and joined them 2 in series. The jo …

When cars are designed, the engineers calculate various things such as centre of gravity, turning circle radius etc. One of these things is the centre of pressure and the effect it has on the handlin …

Can you flatten them and use a hole punch, at least there are leather punches used for punching holes in leather... Or put a mandrel inside and use the punch...

When you push that onto a flat surface it pushes most of the air out. The elasticity of the item makes want to flex and come off but the air pressure is pushing it onto the surface.

I have not repeated your maths, but the formulae are shown in the image. If you have the numbers correct the you have a shaft that will support nearly 5 times the load you are applying... Source : …

Above my electrical skills, but as the rod bounces up and opens the contact, is the resistor discharging through the oscilloscope giving a false time? Would a capacitor help this?

Because some of the curved surface is not being loaded.

Gas density can be calculated from: $$\rho = \dfrac{P}{RT}$$ where $\rho$ is the density, $P$, the pressure, $R$, the gas constant, and $T$, the temperature. You should evaluate the change in dens …

Pulleys with rope or belts would work. Sizing and slippage will need to be considered.