Tamil Nadu Board of Secondary EducationHSC Science Class 11th

# 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 [Latest edition]

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

Evaluation
Evaluation [Pages 260 - 263]

### 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

Evaluation | Q I. 1. | Page 260

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

Evaluation | Q I. 2. | Page 260

A couple produces, ______

• pure rotation

• pure translation

• rotation and translation

• no motion

Evaluation | Q I. 3. | Page 260

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

Evaluation | Q I. 4. | Page 260

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?

• 5 m s–2

• 25 m s–2

Evaluation | Q I. 5. | Page 260

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

Evaluation | Q I. 6. | Page 260

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

Evaluation | Q I. 7. | Page 260

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

Evaluation | Q I. 8. | Page 260

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

• tangent to the path

Evaluation | Q I. 9. | Page 261

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 ω1 and ω2. 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

Evaluation | Q I. 10. | Page 261

A disc of the moment of inertia Ia 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 Ib 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

Evaluation | Q I. 11. | Page 261

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

Evaluation | Q I. 12. | Page 261

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?

• 15MR2/32

• 13MR2/32

• 11MR2/32

• 9MR2/32

Evaluation | Q I. 13. | Page 261

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)

Evaluation | Q I. 14. | Page 261

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

• zero

• v0

• sqrt2v0

• 2v0

Evaluation | Q I. 15. | Page 261

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

Evaluation | Q II. 1. | Page 262

Define centre of mass.

Evaluation | Q II. 2. | Page 262

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

a) Equilateral triangle

b) Cylinder

c) Square

Evaluation | Q II. 3. | Page 262

Define torque and mention its unit.

Evaluation | Q II. 4. | Page 262

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

Evaluation | Q II. 5. | Page 262

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

Evaluation | Q II. 6. | Page 262

What is the relation between torque and angular momentum?

Evaluation | Q II. 7. | Page 262

What is equilibrium?

Evaluation | Q II. 8. | Page 262

How do you distinguish between stable and unstable equilibrium?

Evaluation | Q II. 9. | Page 262

Define couple.

Evaluation | Q II. 10. | Page 262

State principle of moments.

Evaluation | Q I. 11. | Page 262

Define centre of gravity.

Evaluation | Q II. 12. | Page 262

Mention any two physical significance of the moment of inertia.

Evaluation | Q II. 13. | Page 262

What is the radius of gyration?

Evaluation | Q II. 14. | Page 262

State conservation of angular momentum.

Evaluation | Q II. 15. | Page 262

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

Evaluation | Q II. 16. | Page 262

What is the condition for pure rolling?

Evaluation | Q II. 17. | Page 262

What is the difference between sliding and slipping?

Evaluation | Q III. 1. | Page 262

Explain the types of equilibrium with suitable examples.

Evaluation | Q III. 2. | Page 262

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

Evaluation | Q III. 3. | Page 262

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

Evaluation | Q III. 4. | Page 262

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

Evaluation | Q III. 5. | Page 262

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

Evaluation | Q III. 6. | Page 262

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

Evaluation | Q III. 7. | Page 262

Discuss conservation of angular momentum with example.

Evaluation | Q III. 8. | Page 262

State and prove parallel axis theorem.

Evaluation | Q III. 9. | Page 262

State and prove perpendicular axis theorem.

Evaluation | Q III. 10. | Page 262

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

#### Numerical Problems

Evaluation | Q IV. 1. | Page 262

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)

Evaluation | Q IV. 2. | Page 262

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

Evaluation | Q IV. 3. | Page 263

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.

Evaluation | Q IV. 4. | Page 263

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.

Evaluation | Q IV. 5. | Page 263

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?

Evaluation | Q IV. 6. | Page 263

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.

Evaluation

## 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

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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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