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Calculate the moments of inertia of the figures shown, each having mass `M`, radius `R` and having uniform mass distribution about an axis perpendicular to the plane and passing through the centre?

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`(MR^(2))/2`. These cases are same as circular disc. The distributios with respect to axis of rotation is same pattern as circular disc.
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CENGAGE PHYSICS-RIGID BODY DYNAMICS 1-Exercise 2.2
  1. Two heavy particles having masses m(1) and m(2) are situated in a plan...

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  2. Find out the moment of inertia of the circular arcs shown, each having...

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  3. Calculate the moments of inertia of the figures shown, each having mas...

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  4. In Fig. find moment of inertia of a plate having mass M, length l and ...

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  5. Find the moment of inertia of a uniform rectangular plate of mass M an...

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  6. Find the moment of inertia of a uniform square plate of mass M and edg...

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  7. Calculate the moment of inertia of a rectangular frame formed by unifo...

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  8. Find the moment of inertia of the two uniform joint rods about point P...

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  9. Find the moment of inertia of a solid sphere of mass M and radias R ab...

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  10. Find the radius of gyration of a hollow uniform sphere of radius R abo...

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  11. The square structure shown in Fig. consists of lour point masses conne...

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  12. Calculate the moment of inertia of each particle in Fig. about the ind...

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  13. A uniform disc of mass m and radius R has an additional rim of mass m ...

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  14. Find the moment of inertia A of a spherical ball of mass m and radius ...

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  15. Find the moment of inertia of a cylinder of mass M, radius R and lengt...

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  16. Find MI of a triangular lamina of mass M about the axis of rotation AB...

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  17. Four identical rods, each of mass m and length l, make a square frame ...

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