Grade 11Mechanics

A hollow rod of radius R1 and R2 such that R2 is greater than R1
Arnold solid rod of radius r are used to transmit power if they have the same mass and density which rod is stronger ?

Anuradha Pandey

6 Years agoGrade 11

2 Answers

Arun

6 Years ago

Mass of the cylinder = m

Outside radius = r₂

Inside radius = r₁

So the axis parallel to its symmetrical axis ( through its centre) and tangential to the outer surface means an axis on the outer surface through the length of the cylinder.

Moment of inertia on the symmetrical axis I₁ = (m/2) (r₁² + r₂²)

Following the parallel axis theorem, moment of inertia on the mentioned axis, I₂ = I₁ + mr₂² [ mass x distance from symmetrical axis ]

that is, I₂ = (m/2) (r₁² + r₂²) + mr₂²

or, I₂ = m [ (r₁²/2) + {(r₂²/2) + r₂²}

or I₂ = (m/2) [ r₁² + 3r₂² ]

So the answer is (m/2) (r₁² + r₂²)

Vikas TU

6 Years ago

Dear student

The ans is not complete

Arnold solid rod will be stronger.

Hope this will help

Good Luck

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A hollow rod of radius R1 and R2 such that R2 is greater than R1Arnold solid rod of radius r are used to transmit power if they have the same mass and density which rod is stronger ?

Anuradha Pandey

2 Answers

Arun

Vikas TU

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A hollow rod of radius R1 and R2 such that R2 is greater than R1
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