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Motion of System of Particles and Rigid Body

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Centre of Mass

Subtopic

Centre of Mass under Motion of System of Particles and Rigid Body for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of the following bodies has its centre of mass located outside its physical material?

    A.

    A uniform solid cylinder

    B.

    A uniform rectangular block

    C.

    A uniform thin circular ring

    D.

    A uniform solid sphere

  2. 2.

    Consider the following system consisting of two masses m1m_1 and m2m_2 as shown. If m1>m2m_1 > m_2, where is the Centre of Mass (CoM) most likely located?

    A.

    At point A

    B.

    At point B (Midpoint)

    C.

    At point C

    D.

    Outside the line segment joining the masses

  3. 3.

    In the absence of an external force, the velocity of the centre of mass of a system of particles:

    A.

    Remains constant

    B.

    Increases with time

    C.

    Decreases with time

    D.

    Is always zero

Download the worksheet for Motion of System of Particles and Rigid Body - Centre of Mass to practice offline. It includes additional chapter-level practice questions.

Moment of a Force and Torque

Subtopic

Moment of a Force and Torque under Motion of System of Particles and Rigid Body for Grade 11 ICSE.

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Preview questions (no answers)

  1. 1.

    In the following diagram representing a horizontal lever, at which point should a downward force be applied to produce the maximum anticlockwise moment about the pivot P?

    A.

    Point A

    B.

    Point B

    C.

    Point C

    D.

    Point D

  2. 2.

    A force of 20 N20\ N is applied perpendicular to the edge of a door which is 0.8 m0.8\ m wide. What is the magnitude of the torque produced about the hinges?

    A.

    16.0 N⋅m16.0\ N \cdot m

    B.

    25.0 N⋅m25.0\ N \cdot m

    C.

    1.6 N⋅m1.6\ N \cdot m

    D.

    2.5 N⋅m2.5\ N \cdot m

  3. 3.

    The direction of torque τ⃗=r⃗×F⃗\vec{\tau} = \vec{r} \times \vec{F} is always:

    A.

    Parallel to both r⃗\vec{r} and F⃗\vec{F}

    B.

    Parallel to r⃗\vec{r} but perpendicular to F⃗\vec{F}

    C.

    Perpendicular to both r⃗\vec{r} and F⃗\vec{F}

    D.

    In the same direction as the force F⃗\vec{F}

Download the worksheet for Motion of System of Particles and Rigid Body - Moment of a Force and Torque to practice offline. It includes additional chapter-level practice questions.

Angular Momentum

Subtopic

Angular Momentum under Motion of System of Particles and Rigid Body for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    According to the principle of conservation of angular momentum, the angular momentum of a system remains constant if:

    A.

    The net external force acting on it is zero

    B.

    The net external torque acting on it is zero

    C.

    The system is moving with constant linear velocity

    D.

    The moment of inertia of the system is constant

  2. 2.

    The rotational analogue of Newton's second law for a system of particles states that the net external torque is equal to the:

    A.

    Rate of change of linear momentum

    B.

    Rate of change of angular momentum

    C.

    Product of moment of inertia and velocity

    D.

    Change in rotational kinetic energy

  3. 3.

    Which of the following represents the correct SI unit for angular momentum?

    A.

    kg⋅m⋅s−1kg \cdot m \cdot s^{-1}

    B.

    kg⋅m2⋅s−2kg \cdot m^2 \cdot s^{-2}

    C.

    kg⋅m2⋅s−1kg \cdot m^2 \cdot s^{-1}

    D.

    kg⋅m⋅s−2kg \cdot m \cdot s^{-2}

Download the worksheet for Motion of System of Particles and Rigid Body - Angular Momentum to practice offline. It includes additional chapter-level practice questions.

Equilibrium of Rigid Bodies

Subtopic

Equilibrium of Rigid Bodies under Motion of System of Particles and Rigid Body for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    A pair of equal and opposite forces acting on a body along different lines of action is known as a 'couple'. What type of motion does a couple produce?

    A.

    Purely translational motion

    B.

    Purely rotational motion

    C.

    Both translational and rotational motion

    D.

    No motion at all

  2. 2.

    The torque τ⃗\vec{\tau} produced by a force F⃗\vec{F} acting at a point with a position vector r⃗\vec{r} relative to the origin is mathematically expressed as:

    A.

    τ⃗=r⃗⋅F⃗\vec{\tau} = \vec{r} \cdot \vec{F}

    B.

    τ⃗=F⃗×r⃗\vec{\tau} = \vec{F} \times \vec{r}

    C.

    τ⃗=m(r⃗×v⃗)\vec{\tau} = m(\vec{r} \times \vec{v})

    D.

    τ⃗=r⃗×F⃗\vec{\tau} = \vec{r} \times \vec{F}

  3. 3.

    The center of mass of a body and its center of gravity will exactly coincide when:

    A.

    The body is in a uniform gravitational field.

    B.

    The body has a perfectly spherical shape.

    C.

    The body is placed in a vacuum.

    D.

    The body is rotating with a constant angular velocity.

Download the worksheet for Motion of System of Particles and Rigid Body - Equilibrium of Rigid Bodies to practice offline. It includes additional chapter-level practice questions.

Moment of Inertia

Subtopic

Moment of Inertia under Motion of System of Particles and Rigid Body for Grade 11 ICSE.

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Preview questions (no answers)

  1. 1.

    According to the parallel axis theorem, if IcmI_{cm} is the moment of inertia about an axis passing through the center of mass, the moment of inertia II about a parallel axis at a distance dd is given by:

    A.

    I=Icm−Md2I = I_{cm} - Md^2

    B.

    I=Icm+MdI = I_{cm} + Md

    C.

    I=Icm+Md2I = I_{cm} + Md^2

    D.

    I=Icm+12Md2I = I_{cm} + \frac{1}{2}Md^2

  2. 2.

    The radius of gyration of a thin uniform ring of radius RR about an axis passing through its center and perpendicular to its plane is:

    A.

    RR

    B.

    R/2R/2

    C.

    R/2R/\sqrt{2}

    D.

    2R2R

  3. 3.

    The SI unit of Moment of Inertia is:

    A.

    kg⋅mkg \cdot m

    B.

    kg⋅m2kg \cdot m^2

    C.

    kg/m2kg/m^2

    D.

    N⋅mN \cdot m

Download the worksheet for Motion of System of Particles and Rigid Body - Moment of Inertia to practice offline. It includes additional chapter-level practice questions.

Theorems of Parallel and Perpendicular Axes

Subtopic

Theorems of Parallel and Perpendicular Axes under Motion of System of Particles and Rigid Body for Grade 11 ICSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The Theorem of Parallel Axes can be used to find the moment of inertia of a body about any axis, provided we know the moment of inertia about:

    A.

    An axis passing through the geometric center

    B.

    An axis passing through the point of suspension

    C.

    An axis perpendicular to the plane of the body

    D.

    A parallel axis passing through the center of mass

  2. 2.

    If the moment of inertia of a circular ring of mass MM and radius RR about an axis passing through its center and perpendicular to its plane is I=MR2I = MR^2, what is its moment of inertia about any of its diameters?

    A.

    2MR22MR^2

    B.

    12MR2\frac{1}{2}MR^2

    C.

    14MR2\frac{1}{4}MR^2

    D.

    MR2MR^2

  3. 3.

    In the Parallel Axis Theorem formula I=Icm+Md2I = I_{cm} + Md^2, what does the term 'dd' represent?

    A.

    The diameter of the rigid body

    B.

    The perpendicular distance between the two parallel axes

    C.

    The distance from the origin to the center of mass

    D.

    The radius of gyration of the body

Download the worksheet for Motion of System of Particles and Rigid Body - Theorems of Parallel and Perpendicular Axes to practice offline. It includes additional chapter-level practice questions.

Motion of System of Particles and Rigid Body - Class 11 Physics (ICSE) | Krit.club