The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh = 0.156 m and mass 5.65 kg, and two thin crossed rods of mass 8.23 kg each. Imagine replacing the wagon wheels with uniform disks that are ta = 4.62 cm thick, made out of a material with a density of 8290 kg/m³. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? O ta H rd = 0.2043 Incorrect m

A Texas cockroach of mass 0.246 kg runs counterclockwise around the rim of a lazy Susan (a circular disk mounted on a vertical axle) that has a radius 18.0 cm, rotational inertia 3.36 x 10³ kg-m?, and frictionless bearings. The cockroach's speed (relative to the ground) is 2.75 m/s, and the lazy Susan turns clockwise with angular velocity wo = 3.31 rad/s. The cockroach finds a bread crumb on the rim and, of course, stops. (a) What is the angular speed of the lazy Susan after the cockroach stops? (b) Is mechanical energy conserved as it stops? (a) Number Units (b)

Suppose you have a long, thin rod of length 1.51m that is free to rotate about a fixed end.  If the rod's composition is uniform (which means it has the same mass density all along its length), and if the mass of the rod is 0.6kg, what is the rod's moment of inertia (or rotational inertia) in units of kg*m2?

A yo-yo is made of two uniform disks, each of mass M and radius R, which are glued to a smaller central axle of negligible mass and radius 0.5R (see figure). A string is wrapped tightly around the axle. The yo-yo is then released from rest and allowed to drop downwards, as the string unwinds without slipping from the central axle.  Part (a)  Find the moment of inertia, I, of the yo-yo with respect to an axis through the common centers of the disks, in terms of the mass and radius.   Part (b)  Find the linear speed V of the yo-yo, after it has descended a distance H. Part (c)  Calculate the magnitude of the linear velocity V, in meters per second, of the yo-yo after it has fallen a distance 0.39 m

A yoyo is constructed by attaching three uniform, solid disks along their central axes as shown. The two outer disks are identical, each with mass M= 51 g, radius R= 3.9 AF cm, and moment of inertia 1/2MR². The central, smaller disk has mass M/2 and radius R/2. A light, flexible string of negligible mass is wrapped counterclockwise around the central disk of the The yoyo is then placed on a horizontal tabletop and the string is gently pulled with a constant force F = 0.25 N. The tension in the string is not sufficient to cause the yoyo to leave the tabletop. In this problem consider the two cases show. In Case 1 the string is pulled straight up, perpendicular to the tabletop. In Case 2 the string is pulled horizontally, parallel to the tabletop. In both cases the yoyo rolls without slipping. yoyo. Case 1: I F Case 2: Part (a) What is the moment of inertia ICM about the central axis (i.e. the axis perpendicular to the circular face) of the yoyo, in kg•m². ICM= 8.242 * 10(- 5 ) ICM=…

The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius r = 0.262 m and mass 4.32 kg, and two thin crossed rods of mass 9.09 kg each. Imagine replacing the wagon wheels with uniform disks that are ta = 6.51 cm thick, made out of a material with a density of 7370 kg/m. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be? rd =

The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius ?h=0.527 m and mass 5.65 kg, and two thin crossed rods of mass 7.80 kg each. Imagine replacing the wagon wheels with uniform disks that are ?d=5.88 cm thick, made out of a material with a density of 6910 kg/m3. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?

The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh=0.262 m and mass 4.32 kg, and two thin crossed rods of mass 9.09 kg each. Imagine replacing the wagon wheels with uniform disks that are td=6.51 cm thick, made out of a material with a density of 7370 kg/m3. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?

Suppose you exert a tangential force of 450 N to the outer edge of a .5 m radius wooden wheel mounted on a frictionless axis at the center. The weight of the wheel is 45 kg. One can assume the wheel is a solid disk. The moment of inertia (I) for a solid disk rotating at the center is given by the formula : I= 1/2mass X (radius)^2 A) what torque is exerted on the wheel? B) how much angular acceleration the wheel will experience due to applied force ?

Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rb=2R are connected by a thin, uniform rod of length L=2R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia I about the axis through the center of the rod. Write the expression in terms of M, R, and a numerical factor in fraction form.