Moment of Inertia Absorb Before You Solve MCQs Systems of Particles and Rotational Motion Physics NEET Practice Questions, MCQs, Past Year Questions (PYQs), NCERT Questions, Question Bank, Class 11 and Class 12 Questions, and PDF solved with answers

Q1:

Five particles of mass $2$ kg each are attached to the circumference of a circular disc of a radius of $0.1$ m and negligible mass. The moment of inertia of the system about the axis passing through the centre of the disc and perpendicular to its plane will be:
1. $1$ kg-m²
2. $0.1$ kg-m²
3. $2$ kg-m²
4. $0.2$ kg-m²

Subtopic: Moment of Inertia |

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Q2:

A light rod of length

l

$l$ has two masses,

m_{1}

$m_1$ and

m_{2},

$m_2,$ attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is:
1.

\frac{m_{1} m_{2}}{m_{1} + m_{2}} l^{2}

$\frac{m_1m_2}{m_1+m_2}l^2$
2.

\frac{m_{1} + m_{2}}{m_{1} m_{2}} l^{2}

$\frac{m_1+m_2}{m_1m_2}l^2$
3.

(m_{1} + m_{2}) l^{2}

$(m_1+m_2)l^2$
4.

\sqrt{(m_{1} m_{2})} l^{2}

$\sqrt{(m_1m_2)}l^2$

Subtopic: Moment of Inertia |

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Q3:

The one-quarter sector is cut from a uniform circular disc of radius $R$ . This sector has a mass $M$ . It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation will be:

1.	$\frac{1}{2} M R^2$	2.	$\frac{1}{4} M R^2$
3.	$\frac{1}{8} M R^2$	4.	$\sqrt{2} M R^2$

Subtopic: Moment of Inertia |

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Q4:

Consider two uniform discs of the same thickness and different radii

R_{1} = R

$R_1=R$ and

R_{2} = α R

$R_2=\alpha R$ made of the same material. If the ratio of their moments of inertia,

I_{1}

$I_1$ and

I_{2},

$I_2,$ respectively, about their axes is

I_{1} : I_{2} = 1 : 16,

$I_1:I_2=1:16,$ then the value of

α

$\alpha$ is:
1.

\sqrt{2}

$\sqrt{2}$
2.

4

$4$
3.

2

$2$
4.

2 \sqrt{2}

$2\sqrt{2}$

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Q5:

An energy of

484 J

$484~\text J$ is spent in increasing the speed of a flywheel from

$60~\text{rpm}$ to

$360~\text{rpm}.$ The moment of inertia of the flywheel is:

1.	$0.7~\text{kg-m}^2$	2.	$3.22~\text{kg-m}^2$
3.	$30.8~\text{kg-m}^2$	4.	$0.07~\text{kg-m}^2$

Subtopic: Moment of Inertia |

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