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The moon rotates as it revolves around the earth so that we The moon rotates as it revolves around the earth so that we always see the same side. Use this fact to find the angular velocity (in rad/s) of the moon about its axis. (The period of revolution of the moon about the earth […]

The radius of a park merry-go-round is 2.2 m. To The radius of a park merry-go-round is 2.2 m. To start it rotating, you wrap a rope around it and pull with a force of 260 N for 12 s. During this time, the merry-go-round makes one complete rotation. (a) Find the angular acceleration of […]

The fishing pole in Figure P10.30 makes an angle The fishing pole in Figure P10.30 makes an angle of 20.0′ with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the fisher’s hand? Is this the question you were looking for? If so, place […]

The particles in Figures are connected by a very light rod The particles in Figures are connected by a very light rod whose moment of inertia can be neglected. They rotate about the y axis with angular velocity ? = 2 rad/s. (a) Find the speed of each particle, and use it to calculate the […]

The methane molecule (CH4) has four hydrogen atoms located at The methane molecule (CH4) has four hydrogen atoms located at the vertices of a regular tetrahedron of side length 1.4 nm, with the carbon atom at the center of the tetrahedron (Figure). Find the moment of inertia of this molecule for rotation about an axis […]

The density of the earth is not quite uniform. It varies with The density of the earth is not quite uniform. It varies with the distance r from the center of the earth as r = C(1.22 – r/R), where R is the radius of the earth and C is a constant. (a) Find C […]

The four particles in Figure P10.21 The four particles in Figure P10.21 are connected by rigid rods of negligible mass. The origin is at the center of the rectangle. If the system rotates in the xy plane about the z axis with an angular speed of 6.00 rad/s, calculate (a) The moment of inertia of […]

The head of a grass string trimmer has 100 g The head of a grass string trimmer has 100 g of cord wound in a light cylindrical spool with inside diameter 3.00 cm and outside diameter 18.0 cm, as in Figure P10.50. The cord has a linear density of 10.0 g/m. A single strand of […]

An airplane propeller is 2.08 m An airplane propeller is 2.08 m in length (from tip to tip) with mass 117 kg and is rotating at 2400 rpm {rev/min} about an axis through its center you can model the propeller as a slender rod. (a) What is its rotational kinetic energy (b) Suppose that, due […]

A yo-yo-shaped device mounted on a horizontal frictionless axis is used A yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 30 kg box as shown in Fig. 10-59. The outer radius R of the device is 0.50 m, and the radius r of the hub is 0.20 m. When a […]