Samacheer Kalvi solutions for Physics - Volume 1 and 2 [English] Class 11 TN Board chapter 5 - Motion of System of Particles and Rigid Bodies [Latest edition]

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

A couple produces, ______

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, ______

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?

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, ______

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

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

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

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, ______

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, ______

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, ______

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?

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

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, ______

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

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?

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.

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.