A rod of mass 3m and length L can pivot about an axis through its center and perpendicular to the length of the rod as shown below. The rod has 2 point masses attached to either end, each of mass m. What is the moment of inertia of the rod + masses system about the axis through the center?

A 35kg wheel is off-center, with its axle 3.4cm away from its actual center of mass, and it has a radius of 24cm. 84J of work goes purely into speeding it up from rest to 11.3 rad/s. What is the moment of inertia of the wheel?Do not actually solve the problem numerically or algebraically, just pick the one equation and define the relevant knowns and single unknown.

Calculate the moment of inertia by direct integration of a thin rod of mass M and length L about an axis through the rod at L/3, as shown below. Check your answer with the parallel-axis theorem.

Calculate the moment of inertia for a solid sphere with radius 0.050 m and mass 0.79 kg. Express your answer in Sl units.

Four particles with masses 7 kg, 2 kg, 7 kg, and 4 kg are connected by rigid rods of neg- ligible mass as shown. Aassume the system. rotates in the xy plane about the z axis (ori- gin, O) with an angular speed of 6 rad/s. 7 kg y A 4 kg 2 kg 6 rad/s 7 kg Т 5 m Find the moment of inertia of the system about the z axis. Answer in units of kg. m². Your response... Previous Responses X #1.490 PALETTE

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. 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.  b)  Calculate the magnitude of the linear velocity V, in meters per second, of the yo-yo after it has fallen a distance 0.46 m.

A uniform bar has two small balls glued to its ends. The bar is 1.9 m long and has mass 1.5 kg, while the balls each have mass 0.5 kg and can be treated as point masses. Find the moment of inertia of this combination about an axis perpendicular to the bar and through one of the balls. the answer's unit is.          Needs Complete typed solution with 100 % accuracy.

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 moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?

The uniform slender rod has a mass m. If it is released from rest when 0 = 0 determine the angular acceleration of the slender when 0= 90°. L A B Hint: Mass moment of inertia for a slender beam with respect to axis through its center of gravity: T = ML² Where M is the mass of slendel and Lis the length of slender. MacBook Air 888 FA F2 & $. 4 %23 delete 7 8 9 2 3 P Y R W K F G D N M B V command ption ソ

A thing solid cylinder has a mass 5.17kg and a length 2.57 m. What is its moment of inertia (in unit of kg.m2) when it is rotating as shown above? (please search your physics text book or other sources for the correct formula for this situation, you lab manual does not necessarily have the formula.)