#### Chapters

Chapter 2: Kinematics

Chapter 3: Laws of motion

Chapter 4: Work, Energy and Power

Chapter 5: Motion of System of Particles and Rigid Bodies

Chapter 6: Gravitation

Chapter 7: Properties of Matter

Chapter 8: Heat and Thermodynamics

Chapter 9: Kinetic Theory of Gases

Chapter 10: Oscillations

Chapter 11: Waves

## Chapter 5: Motion of System of Particles and Rigid Bodies

### Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Physics Volume 1 and 2 Answers Guide Chapter 5 Motion of System of Particles and Rigid Bodies Evaluation [Pages 260 - 263]

#### Multiple Choice Questions

The centre of mass of a system of particles does not depend upon, ______

position of particles

the relative distance between particles

masses of particles

the force acting on a particle

A couple produces, ______

pure rotation

pure translation

rotation and translation

no motion

A particle is moving with a constant velocity along a line parallel to the positive X-axis. The magnitude of its angular momentum with respect to the origin is, ______

zero

increasing with x

decreasing with x

remaining constant

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N?

0.25 rad s

^{–2}25 rad s

^{–2}5 m s

^{–2}25 m s

^{–2}

A closed cylindrical container is partially filled with water. As the container rotates in a horizontal plane about a perpendicular bisector, its moment of inertia, ______

increases

decreases

remains constant

depends on the direction of rotation

A rigid body rotates with an angular momentum L. If its kinetic energy is halved, the angular momentum becomes, ______

L

L/2

2L

L/`sqrt2`

A particle undergoes uniform circular motion. The angular momentum of the particle remains conserved about, ______

the centre point of the circle

the point on the circumference of the circle

any point inside the circle

any point outside the circle

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along, ______

a line perpendicular to the plane of rotation

the line making an angle of 45° to the plane of rotation

the radius

tangent to the path

Two discs of the same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of the disc with angular velocities ω_{1} and ω_{2}. They are brought in to contact face to face coinciding with the axis of rotation. The expression for loss of energy during this process is, ______

`1/4I(omega_1 - omega_2)^2`

`I(omega_1 - omega_2)^2`

`1/8I(omega_1 - omega_2)^2`

`1/2I(omega_1 - omega_2)^2`

A disc of the moment of inertia I_{a} is rotating in a horizontal plane about its symmetry axis with a constant angular speed ω. Another disc initially at rest of moment of inertia I_{b} is dropped coaxially onto the rotating disc. Then, both the discs rotate with the same constant angular speed. The loss of kinetic energy due to friction in this process is, ______

`1/2(I_b^2)/((I_a + I_b))ω^2`

`(I_b^2)/((I_a + I_b))ω^2`

`(I_b - I_a)^2/((I_a + I_b))ω^2`

`1/2(I_bI_b)/((I_a + I_b))ω^2`

The ratio of the acceleration for a solid sphere (mass m and radius R) rolling down an incline of angle θ without slipping and slipping down the incline without rolling is, ______

5:7

2:3

2:5

7:5

From a disc of radius R a 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 it?

15MR

^{2}/3213MR

^{2}/3211MR

^{2}/329MR

^{2}/32

The speed of a solid sphere after rolling down from rest without sliding on an inclined plane of vertical height h is, ______

`sqrt(4/3 gh)`

`sqrt(10/7 gh)`

`sqrt(2 gh)`

`sqrt(1/2gh)`

The speed of the centre of a wheel rolling on a horizontal surface is v_{o}. A point on the rim is level with the centre will be moving at a speed of, ______

zero

v

_{0}`sqrt2`v

_{0}2v

_{0}

A round object of mass M and radius R rolls down without slipping along an inclined plane. The frictional force, ______

dissipates kinetic energy as heat.

decreases the rotational motion.

decreases the rotational and translational motion

converts transnational energy into rotational energy

#### Short Answer Questions

Define centre of mass.

Find out the centre of mass for the given geometrical structures.

a) Equilateral triangle

b) Cylinder

c) Square

Define torque and mention its unit.

What are the conditions in which force can not produce torque?

Give any two examples of torque in day-to-day life.

What is the relation between torque and angular momentum?

What is equilibrium?

How do you distinguish between stable and unstable equilibrium?

Define couple.

State principle of moments.

Define centre of gravity.

Mention any two physical significance of the moment of inertia.

What is the radius of gyration?

State conservation of angular momentum.

What are the rotational equivalents for the physical quantities, (i) mass and (ii) force?

What is the condition for pure rolling?

What is the difference between sliding and slipping?

#### Long Answer Questions

Explain the types of equilibrium with suitable examples.

Explain the method to find the center of gravity of an irregularly shaped lamina.

Explain why a cyclist bends while negotiating a curve road? Arrive at the expression for angle of bending for a given velocity.

Derive the expression for the moment of inertia of a rod about its centre and perpendicular to the rod.

Derive the expression for the moment of inertia of a uniform ring about an axis passing through the centre and perpendicular to the plane.

Derive the expression for the moment of inertia of a uniform disc about an axis passing through the centre and perpendicular to the plane.

Discuss conservation of angular momentum with example.

State and prove parallel axis theorem.

State and prove perpendicular axis theorem.

Discuss rolling on an inclined plane and arrive at the expression for acceleration.

#### Numerical Problems

A uniform disc of mass 100g has a diameter of 10 cm. Calculate the total energy of the disc when rolling along with a horizontal table with a velocity of 20 cms^{-1}. (take the surface of the table as reference)

A particle of mass 5 units is moving with a uniform speed of v = `3sqrt 2` units in the XOY plane along the line y = x + 4. Find the magnitude of angular momentum

A flywheel rotates with uniform angular acceleration. If its angular velocity increases from `20pi` rad/s to `40pi` rad/s in 10 seconds. Find the number of rotations in that period.

A uniform rod of mass m and length l makes a constant angle θ with an axis of rotation that passes through one end of the rod. Find the moment of inertia about this axis.

Two particles P and Q of mass 1 kg and 3 kg respectively start moving towards each other from rest under mutual attraction. What is the velocity of their center of mass?

Find the moment of inertia of a hydrogen molecule about an axis passing through its centre of mass and perpendicular to the inter-atomic axis. Given: mass of hydrogen atom 1.7 × 10^{-27} kg and interatomic distance is equal to 4 × 10-^{10 }m.

## Chapter 5: Motion of System of Particles and Rigid Bodies

## Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Physics Volume 1 and 2 Answers Guide chapter 5 - Motion of System of Particles and Rigid Bodies

Tamil Nadu Board Samacheer Kalvi solutions for Class 11th Physics Volume 1 and 2 Answers Guide chapter 5 (Motion of System of Particles and Rigid Bodies) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Tamil Nadu Board of Secondary Education Class 11th Physics Volume 1 and 2 Answers Guide solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Class 11th Physics Volume 1 and 2 Answers Guide chapter 5 Motion of System of Particles and Rigid Bodies are Centre of Mass, Equilibrium of Rigid Bodies, Moment of Inertia, Rotational Dynamics, Rolling Motion, Torque and Angular Momentum.

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