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mechanics of rigid bodies
3. Series 15. Year - 1. a giant and a dwarf
A giant and a dwarf are tugging of war. The rope is reeled around a tree. The rope and the tree are absolutely unbreakable.
The bad giant is exactly 666 times stronger than the dwarf. How many times must the rope be reeled around the tree if we don't want the giant to win? Estimate the coefficient of friction.
Napadlo Pavla Augustinskeho a Honzu Houšťka.
3. Series 15. Year - 2. Viennese waltz
Estimate the total kinetic energy of a pair dancing Viennese waltz.
Úlohu objevila Lenka Zdeborová.