Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365956 In Column I, shape of different bodies are given and in column II their moment of inertia are given. Match column I wit column II.
supporting img

1 A - S, B - P, C - Q, D - P
2 A - Q, B - P, C - S, D - S
3 A - S, B - R, C - Q, D - P
4 A - Q, B - S, C - P, D - P
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365957 Let \(I\) be the moment of inertia of a uniform square plate about an axis \(\mathrm{AB}\) that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate and it passes through the centre of the plate making an angle \(\theta\) with \(\mathrm{AB}\). The moment of inertia of the plate about the axis \(\mathrm{CD}\) is equal to:
supporting img

1 \(I \cos ^{2} \theta\)
2 I
3 \(I \sin ^{2} \theta\)
4 \(I \cos ^{2}\left(\dfrac{\theta}{2}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365958 Consider a thin uniform square sheet made of a rigid material. If its side is ' \(a\) ' mass \(\mathrm{m}\) and moment of inertia \(I\) about one of its diagonals, then:

1 \(I=\dfrac{m a^{2}}{12}\)
2 \(\dfrac{m a^{2}}{24} < I < \dfrac{m a^{2}}{12}\)
3 \(I>\dfrac{m a^{2}}{12}\)
4 \(I=\dfrac{m a^{2}}{24}\)
JEE - 2015
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365956 In Column I, shape of different bodies are given and in column II their moment of inertia are given. Match column I wit column II.
supporting img

1 A - S, B - P, C - Q, D - P
2 A - Q, B - P, C - S, D - S
3 A - S, B - R, C - Q, D - P
4 A - Q, B - S, C - P, D - P
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365957 Let \(I\) be the moment of inertia of a uniform square plate about an axis \(\mathrm{AB}\) that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate and it passes through the centre of the plate making an angle \(\theta\) with \(\mathrm{AB}\). The moment of inertia of the plate about the axis \(\mathrm{CD}\) is equal to:
supporting img

1 \(I \cos ^{2} \theta\)
2 I
3 \(I \sin ^{2} \theta\)
4 \(I \cos ^{2}\left(\dfrac{\theta}{2}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365958 Consider a thin uniform square sheet made of a rigid material. If its side is ' \(a\) ' mass \(\mathrm{m}\) and moment of inertia \(I\) about one of its diagonals, then:

1 \(I=\dfrac{m a^{2}}{12}\)
2 \(\dfrac{m a^{2}}{24} < I < \dfrac{m a^{2}}{12}\)
3 \(I>\dfrac{m a^{2}}{12}\)
4 \(I=\dfrac{m a^{2}}{24}\)
JEE - 2015
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365956 In Column I, shape of different bodies are given and in column II their moment of inertia are given. Match column I wit column II.
supporting img

1 A - S, B - P, C - Q, D - P
2 A - Q, B - P, C - S, D - S
3 A - S, B - R, C - Q, D - P
4 A - Q, B - S, C - P, D - P
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365957 Let \(I\) be the moment of inertia of a uniform square plate about an axis \(\mathrm{AB}\) that passes through its centre and is parallel to two of its sides. CD is a line in the plane of the plate and it passes through the centre of the plate making an angle \(\theta\) with \(\mathrm{AB}\). The moment of inertia of the plate about the axis \(\mathrm{CD}\) is equal to:
supporting img

1 \(I \cos ^{2} \theta\)
2 I
3 \(I \sin ^{2} \theta\)
4 \(I \cos ^{2}\left(\dfrac{\theta}{2}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365958 Consider a thin uniform square sheet made of a rigid material. If its side is ' \(a\) ' mass \(\mathrm{m}\) and moment of inertia \(I\) about one of its diagonals, then:

1 \(I=\dfrac{m a^{2}}{12}\)
2 \(\dfrac{m a^{2}}{24} < I < \dfrac{m a^{2}}{12}\)
3 \(I>\dfrac{m a^{2}}{12}\)
4 \(I=\dfrac{m a^{2}}{24}\)
JEE - 2015
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