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Angular acceleration and rotational kinetic energy

Three objects are positioned along the x axis as follows: 4.4 kg at x = +1.1m, 3.7 kg at x = -0.80m, and 2.9 kg at x = -1.6 m. The acceleration due to gravity is the same everywhere. What is the distance from location of the center of gravity to the location of the center of mass for this system

A ceiling fan has five blades, each with a mass of 0.34 kg and a length of 0.66 m. The fan is operating in its "low" setting at which the angular speed is 9.4 rad/s. If the blades can be approximated as uniform thin rods that rotate about one end, what is the total rotational kinetic energy of the five blades?

A 50-kg rider on a moped of mass 75 kg is traveling with a speed of 20 m/s. Each of the two wheels of the moped has a radius of 0.2 m and a moment of inertia of 0.2 kg m. What is the total rotational kinetic energy of the wheels

During the spin dry cycle of a washing machine, the motor slows from 95 rad/s to 30 rad/s while the turning the drum through an angle of 402 radians. What is the magnitude of the angular acceleration of the motor?

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Solution Summary

The solution provides a theory explanation and then detailed and step-by-step calculations for the problem. The Word file is 3 page long.