A 117 kg horizontal platform is a uniform disk of radius 1.67 m and can rotate about the vertical axis through its center. A 62.7 kg person stands on the platform at a distance of 1.11 m from the center, and a 29.5 kg dog sits on the platform near the person 1.39 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis. moment of inertia: kg · m?

Three masses, each m = 12 kg, are located at the corners of an equilateral triangle. Calculate the moment of inertia of the system about an axis running through one of the point masses perpendicular to the plane of the triangle. The length of one side of the triangle is 0.94 m

A space craft may be modeled as a uniform disk. Suppose the disk shaped craft has a mass of 2500 kg and a radius of 5.67 ngedalla par pplica meters. (a) What is the moment of inertia of the spacecraft? (b) Two rocket engines on opposite sides of the craft each apply an identical tangential force to impart a uniform angular acceleration in the counterclockwise sense. Suppose the craft acceleration from rest to an angular velocity of 1.00 revolutions per second in the counter clockwise sense over a period of 30.0 seconds. What is this final angular velocity in radians per second? (c) What is the angular acceleration of the craft over the period of uniform angular ac- celeration? (d) What net torque is needed to achieve the angular acceleration in part (c)? (e) What force is applied by each rocket engine during the period of uniform angular accel- eration?

An empty beer can has a mass of 17 g, a length of 14 cm, and radius of 3.4 cm. Find the moment of inertia of the can about its axis of symmetry. Assume that the can is a perfect cylinder of sheet metal with no ridges, indentations, or holes.

A block (mass - 1.0 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia - 2.0 x 10³ kg-m²), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.036 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. (a) Number i (b) Number i Units Units

Calculate the moment of inertia (in kg-m2) of a skater given the following information. (a) The 64.0 kg skater is approximated as a cylinder that has a 0.140 m radius. kg-m? (b) The skater with arms extended is approximately a cylinder that is 58.0 kg, has a 0.140 m radius, and has two 0.950 m long arms which are 3.00 kg each and extend straight out from the cylinder like rods rotated about their ends. kg-m2

A 109 kg horizontal platform is a uniform disk of radius 1.57 m and can rotate about the vertical axis through its center. A 62.9 kg person stands on the platform at a distance of 1.15 m from the center, and a 28.7 kg dog sits on the platform near the person 1.39 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis. moment of inertia: kg · m²