Question

A disc of mass m and radius r is attached to rectangle plate of same mass and breadth r and length 2r .Find the moment of inertia of this system about an axis passing through the centre of disc and along the plane

Answer 1

Answer: 31/12MR^2 *DETAILED ANSWER

Explanation:

Answer 2

The answer will be α=4

Given,

Mass=m , radius = R , breadth = R , length=2R

To solve the following

We know, MI of the disc about the axis XX' is

Here, Iав =  Moment of inertia of the system about axis AB

I = mR²/A

MI of the plate about AB

Iав = mR²/12

From parallel axis theorem,

IXX' =  Iав + m × (R + R/2)² = mR²/2 + m× (BR/2)²

= mR²/2 + 9/4mR²

= 11/4mR²

thus  I total = mR²/2 +  11mR62/4

=3mR²

So, α=4

To learn more about moment of inertia, check the following

https://brainly.in/question/14617883?msp_srt_exp=4

https://brainly.in/question/10913508

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