The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the moment of inertia of the cylinder about an axis CD parallel to AB as shown in figure is 2.7 kg m².
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- Calculate the moment of inertia of a hollow sphere of mass M and radius R about its diameter.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.Dr. H's daughter likes to empty out boxes of soda and roll the soda cans across the floor. One can of soda has a mass of 0.405 kg and goes rolling across the floor with a speed of 1.3 m/s. If the can is modeled as a solid cylinder with a diameter of 6.6 cm, what is the total kinetic energy of the can as it rolls without slipping? |Axis Thin hoop, radius R Through center MR? JAxis Thin hoop, radius R width w Through central diameter MR? + Mw? |Axis Solid cylinder, radius Ř Through R center |Axis Hollow cylinder, inner radius R, outer radius R, Through R center JAxis Uniform sphere, radius R Through center MR? Axis Long uniform rod, length e Through center Me Axis Through Long uniform rod, length e Me end
- 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 4.32 kg, and two thin crossed rods of mass 7.80 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0651 mthick, made out of a material with a density of 8290 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?Needs Complete typed solution with 100 % accuracy.
- A force of magnitude F is applied horizontally in the -x direction to the rim of a disk of radius R as shown below. Write F and F in terms of the unit vectors i, i, and k, and compute the torque produced by this force about the origin at the center of the disk: (Use the following as necessary: F, R.) F = デ= そ= eBook T-/8 33 Pointsl DETAIL S TIPI FR6 L0 P 029 MYNOTES ASK YOUR TEACHER PRACTICE ANOTHER 1:00 PM A O d0 d S/11/2021 O Type here to search prt se Aelete home 144 & backspace tum lock 2$ 4. 2. Y home Q enter pause 9607no ai plzThe 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
- 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?Needs Complete typed solution with 100 % accuracy.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? Needs Complete typed solution with 100 % accuracy.