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A Body Having Its Centre of Mass at the Origin Has Three of Its Particles at (A,0,0), (0,A,0), (0,0,A). the Moments of Inertia of the Body About the X and Y Axes Are 0⋅20 Kg-m2 Each

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प्रश्न

A body having its centre of mass at the origin has three of its particles at (a,0,0), (0,a,0), (0,0,a). The moments of inertia of the body about the X and Y axes are 0⋅20 kg-m2 each. The moment of inertia about the Z-axis

विकल्प

  • is 0⋅20 kg-m2

  • is 0⋅40 kg-m2

  • is \[0 \cdot 20\sqrt{2}\]kg-m2

  • cannot be deduced with this information

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उत्तर

cannot be deduced with this information

 

Ix = m2a2 + m3a2 = 0.20    ......(1)

Iy = m1a2 + m3a2 = 0.20    ......(2)

Iz m1a2 m2a2                ......(3)

We have three equations and four variables. So, Iz cannot be deduced with the given information.

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अध्याय 10: Rotational Mechanics - MCQ [पृष्ठ १९३]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 10 Rotational Mechanics
MCQ | Q 16 | पृष्ठ १९३

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