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A rigid body can be hinged about any poi...

A rigid body can be hinged about any point on the x-axis. When it is hinged such that the hinge is at `x`, the moment of interia is given by
`I = 2 x^(2) - 12 x + 27`
The x-coordinate of centre of mass is.

A

x =2

B

x = 3

C

x = 0

D

x = 1

Text Solution

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The correct Answer is:
B
`(dI)/(dx) = 0 `
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NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - IV
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  2. A particle moves in a circular path of radius R with an angular veloci...

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  5. Four masses are fixed on a mass less rod as shown in Fig . The momen...

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  8. Three particles are connected by mass less rods lying along the...

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  9. The diagram showm a uniform of mass M & radius 'a' . If the mome...

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  10. Five uniform circular plates , each of diameter D and mass m ar...

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  11. Form a circular disc of radius R and mass 9M , a small disc of mas...

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  12. A ring mass 'm' and radius 'R' has three particles attached to...

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  13. Two wheels are connected by a belt. The radius of larger wheel...

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  14. A bob of mass m attached to an inextensible string of length I is susp...

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  15. At time t = 0 a 2 kg paticle has position vector vec (r ) =...

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  17. Three sol I d spheres are made to move on a rough horizontal ...

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  18. A solid sphere rolls without slipping and presses a spring of spring c...

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