1... Watt's regulator
2 points
On attached picture you can see a system consisting of two heavy balls attached to a joint using two rigid rods. Assume that the motion of the balls is constrained to a certain vertical plane. The whole system starts to rotate around a vertical axis passing through the joint. How does the angle
2... river ride
2 points
Lock is placed in a dam on a river in order for ships to be able to pass through. Assume the river has a flow rate of
3... train à grande vitesse
4 points
Railway has a shape of an arc of radius
4... cutting down a tree
4 points
There can be many problems when cutting down a tree. Imagine a rod attached to an unstretchable rope placed on a pulley. Two workers are standing under the tree to make sure the rod does not fall into a pool. The rod falls down a distance
Hint: First consider two masses on ice connected by an unstretchable rope and having distinct velocities.
5... gas leakage
5 points
Imagine two infinitely large grounded conducting planes distance
P... save the world
5 points
Invent a mechanism that converts rotational energy of the Earth to electric energy. Do not be too down-to-earth. Everything is possible.
E... bouncing of a ball
8 points
Roll a very flexible ball perpendicularly against a wall. When it bounces off the wall it jumps. How does the distance of the point where the ball hits the ground depend on the initial velocity of the ball? You can also investigate dependence on other parameters.
Note You can find some useful information in the text on our web.% (http://fykos.cz/rocnik25/3-e_std-text.pdf).
Instructions for Experimental Tasks