A spring/pulley/cylinder system is shown above. The motion is such that the spring always stretches in the vertical direction, while the pulley (a thin disc) is pinned at its center and the rope does not slip on the pulley. At the instant shown the spring is already stretched by a value of s = 0.15 m, and the angular velocity of the pulley is w = 2.0 rad/s. The other relative properties are listed below: R = 0.59 m pulley mass = 26.1 kg cylinder mass = 24.4 kg k = 120 N/m Using the given information, determine the angular velocity of the pulley after the cylinder falls d = 1.0 m from its current location.

A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.8 rev/s . The wheel can be considered a uniform disk of mass 5.0 kg and diameter 0.34 m The potter then throws a 2.6-kg chunk of clay, approximately shaped as a flat disk of radius 7.0 cm, onto the center of the rotating wheel. - What is the frequency of the wheel after the clay sticks to it? Ignore friction

The drive chain in a bicycle is applying a torque of 1.550 N- m to the wheel of the bicycle. The wheel has a moment of inertia of 0.150 kg • m?. What is the angular acceleration of the wheel? My final answer is 10.33 rad/s^2. Can I write it as 10 rad/s^2? Thank you in Advance.

A metal can containing condensed mushroom soup has mass 230 g, height 10.6 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 26.0° to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s. (a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. I = kg m m² · (b) Which pieces of data, if any, are unnecessary for calculating the solution? (Select all that apply.) the mass of the can the height of the can the angle of the incline the time the can takes to reach the bottom none of these 1 (c) Why can't the moment of inertia be calculated from I = 2 mr² mr2 for the cylindrical can?