Rotational Motion: Translation and Rotational kinetic energy

(a) Without the wheels, a bicycle frame has a mass of 8.13 kg. Each of the wheels can be roughly modeled as a uniform solid disk with a mass of 0.820 kg and a radius of 0.343 m. Find the kinetic energy of the whole bicycle when it is moving forward at 3.35 m/s.

K= J

(b) Before the invention of a wheel turning on an axle, ancient people moved heavy loads by placing rollers under them. (Modern people use rollers too. Any hardware store will sell you a roller bearing for a lazy susan.) A stone block of mass 836 kg moves forward at 0.334 m/s, supported by two uniform cylindrical tree trunks, each of mass 82.0 kg and radius 0.343 m. No slipping occurs between the block and the rollers or between the rollers and the ground. Find the total kinetic energy of the moving objects.

Solution Summary

1. The total kinetic energy of a bicycle is calculated. -------------- 2. the total kinetic energy of a block with rollers is calculated

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