The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.421 m and mass 5.46 kg, and two thin crossed rods of mass 7.37 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0588 mthick, made out of a material with a density of 5990 kg per cubic meter. If the new wheel is to have the same mome

he wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.421 mrh=0.421 m and mass 5.27 kg5.27 kg, and two thin crossed rods of mass 7.37 kg7.37 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0588 mtd=0.0588 m thick, made out of a material with a density of 6450 kg6450 kg per cubic meter. 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?

A combination of an applied force and a frictional force produce a constant total torque of 32 N-m on a wheel rotating about a fixed axis.  This combined force acts for 10 s, during which the wheel’s angular speed increases from 0 to 8 rad/s.  Find the moment of inertia of the wheel.

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

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?

A thin uniform rod 46.0 cm long and with a mass of 0.310 kg is bent at its center into a V shape, with a 70.0∘ angle at its vertex Find the moment of inertia of this V-shaped object about an axis perpendicular to the plane of the V at its vertex.

The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.209 m and mass 5.08 kg, and two thin crossed rods of mass 8.66 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0462 m thick, made out of a material with a density of 7830 kg per cubic meter. 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?

An automobile engine can produce 200 N · m of torque. Calculate the angular acceleration produced if 95.0% of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0 kg disk that has a 0.180 m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.

You are riding your bicycle down the street at a speed of 16 m/s. Your bicycle's frame has a mass of 6.0 kg, and each of its two wheels has mass 2.2 kg and radius 0.34 m. Each wheel can be thought of as a hollow hoop (assuming that the rim has much larger mass than the spokes). What is the total kinetic energy of the bicycle (in Joules)?(take into account both the translational and rotational motion.)