Moment of Inertia
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365853 Assertion :
Inertia and moment of inertia are same quantities.
Reason :
Inertia represents the capacity of a body to oppose change in state of its configuration (distribution of mass).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365854 From a disc of radius \(R\) and mass \(M\), a circular hole of diameter \(R\), whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

1 \(\dfrac{9 M R^{2}}{32}\)
2 \(\dfrac{11 M R^{2}}{32}\)
3 \(\dfrac{15 M R^{2}}{32}\)
4 \(\dfrac{13 M R^{2}}{32}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365855 Moment of inertia of an equilateral triangular lamina \(A B C\), about the axis passing through its centre \(\mathrm{O}\) and perpendicular to its plane is \(I_{0}\) as shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the mid points of the sides. Moment of inertia of the remaining part of lamina about the same axis is
supporting img

1 \(\dfrac{15}{16} I_{0}\)
2 \(\dfrac{3 I_{0}}{4}\)
3 \(\dfrac{7}{8} I_{0}\)
4 \(\dfrac{31 I_{0}}{32}\)
JEE - 2017
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365856 From a uniform circular disc of radius \(R\) and mass \(9M\), a small disc of radius \(\dfrac{R}{3}\) is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is :
supporting img

1 \(\dfrac{40}{9} M R^{2}\)
2 \(10\,M{R^2}\)
3 \(\dfrac{37}{9} M R^{2}\)
4 \(4 M R^{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365853 Assertion :
Inertia and moment of inertia are same quantities.
Reason :
Inertia represents the capacity of a body to oppose change in state of its configuration (distribution of mass).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365854 From a disc of radius \(R\) and mass \(M\), a circular hole of diameter \(R\), whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

1 \(\dfrac{9 M R^{2}}{32}\)
2 \(\dfrac{11 M R^{2}}{32}\)
3 \(\dfrac{15 M R^{2}}{32}\)
4 \(\dfrac{13 M R^{2}}{32}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365855 Moment of inertia of an equilateral triangular lamina \(A B C\), about the axis passing through its centre \(\mathrm{O}\) and perpendicular to its plane is \(I_{0}\) as shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the mid points of the sides. Moment of inertia of the remaining part of lamina about the same axis is
supporting img

1 \(\dfrac{15}{16} I_{0}\)
2 \(\dfrac{3 I_{0}}{4}\)
3 \(\dfrac{7}{8} I_{0}\)
4 \(\dfrac{31 I_{0}}{32}\)
JEE - 2017
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365856 From a uniform circular disc of radius \(R\) and mass \(9M\), a small disc of radius \(\dfrac{R}{3}\) is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is :
supporting img

1 \(\dfrac{40}{9} M R^{2}\)
2 \(10\,M{R^2}\)
3 \(\dfrac{37}{9} M R^{2}\)
4 \(4 M R^{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365853 Assertion :
Inertia and moment of inertia are same quantities.
Reason :
Inertia represents the capacity of a body to oppose change in state of its configuration (distribution of mass).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365854 From a disc of radius \(R\) and mass \(M\), a circular hole of diameter \(R\), whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

1 \(\dfrac{9 M R^{2}}{32}\)
2 \(\dfrac{11 M R^{2}}{32}\)
3 \(\dfrac{15 M R^{2}}{32}\)
4 \(\dfrac{13 M R^{2}}{32}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365855 Moment of inertia of an equilateral triangular lamina \(A B C\), about the axis passing through its centre \(\mathrm{O}\) and perpendicular to its plane is \(I_{0}\) as shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the mid points of the sides. Moment of inertia of the remaining part of lamina about the same axis is
supporting img

1 \(\dfrac{15}{16} I_{0}\)
2 \(\dfrac{3 I_{0}}{4}\)
3 \(\dfrac{7}{8} I_{0}\)
4 \(\dfrac{31 I_{0}}{32}\)
JEE - 2017
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365856 From a uniform circular disc of radius \(R\) and mass \(9M\), a small disc of radius \(\dfrac{R}{3}\) is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is :
supporting img

1 \(\dfrac{40}{9} M R^{2}\)
2 \(10\,M{R^2}\)
3 \(\dfrac{37}{9} M R^{2}\)
4 \(4 M R^{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365853 Assertion :
Inertia and moment of inertia are same quantities.
Reason :
Inertia represents the capacity of a body to oppose change in state of its configuration (distribution of mass).

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365854 From a disc of radius \(R\) and mass \(M\), a circular hole of diameter \(R\), whose rim passes through the centre is cut. What is the moment of inertia of the remaining part of the disc about a perpendicular axis, passing through the centre?

1 \(\dfrac{9 M R^{2}}{32}\)
2 \(\dfrac{11 M R^{2}}{32}\)
3 \(\dfrac{15 M R^{2}}{32}\)
4 \(\dfrac{13 M R^{2}}{32}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365855 Moment of inertia of an equilateral triangular lamina \(A B C\), about the axis passing through its centre \(\mathrm{O}\) and perpendicular to its plane is \(I_{0}\) as shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the mid points of the sides. Moment of inertia of the remaining part of lamina about the same axis is
supporting img

1 \(\dfrac{15}{16} I_{0}\)
2 \(\dfrac{3 I_{0}}{4}\)
3 \(\dfrac{7}{8} I_{0}\)
4 \(\dfrac{31 I_{0}}{32}\)
JEE - 2017
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365856 From a uniform circular disc of radius \(R\) and mass \(9M\), a small disc of radius \(\dfrac{R}{3}\) is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is :
supporting img

1 \(\dfrac{40}{9} M R^{2}\)
2 \(10\,M{R^2}\)
3 \(\dfrac{37}{9} M R^{2}\)
4 \(4 M R^{2}\)
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