Two hoops have the same mass M. Their radii are R1 and R2 = 2 R1....

Two hoops have the same mass M. Their radii are R₁ and R₂ = 2 R₁. Similarly, two uniform disks also have mass M and the radii, R₁ and R₂. Which of these objects has the largest moment of inertia about the axis perpendicular to the screen and through the center of the hoop or disk? The moment of inertia of a uniform disk of mass mand radius r about its center is (1/2)mr²; for a hoop it is mr².

hoop with radius R₁

hoop with radius 2R₁

The hoop of radius 2R₁ and the disk of radius 2R₁ have the same and largest moment of inertia.

disk with radius 2R₁

disk with radius R₁

Solutions

Expert Solution

moment of inertia hoop with radius R1 =

moment of inertia hoop with radius 2R1 =

moment of inertia disk with radius 2R1 =

moment of inertia disk with radius R1 =

part (1)

largest moment of inertia in(hoop with radius R1 & hoop with radius 2R1) is hoop with radius 2R1

part(2)

largest moment of inertia in(hoop with radius 2R1 & disk with radius 2R1) is hoop with radius 2R1

Part(3)

largest moment of inertia in(disk with radius 2R1 & disk with radius R1) is disk with radius 2R1

largest moment of inertia in(all part) is hoop with radius 2R1 ......................Ans

genius_generous answered 1 year ago

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