HARD
11th Telangana Board
IMPORTANT
Earn 100

State and prove perpendicular axis theorem.

Important Questions on Systems of Particles and Rotational Motion

HARD
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 2
If a thin circular ring and a thin flat circular disk of same mass have same moment of inertia about their respective diameters as axes. Then find the ratio of their radii.
HARD
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 3
State and prove the principle of conservation of angular momentum. Explain the principle of conservation of angular momentum with examples.
MEDIUM
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 1

Show that a→.b→×c→ is equal in magnitude to the volume of the parallelepiped formed on the three vectors a→, b→ and c→.

MEDIUM
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 2

A rope of negligible mass is wound round 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? What is the linear acceleration of the rope? Assume that there is no slipping.

MEDIUM
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 3

A coin is kept at a distance of 10 cm from the centre of a circular turntable. If the coefficient of static friction between the table and the coin is 0.8, find the frequency of rotation of the disc at which the coin just begin to slip.

HARD
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 4
Particles of masses 1 g, 2 g, 3 g, ...., 100 g are kept at the marks 1 cm, 2 cm, 3 cm, ...., 100 cm respectively on a meter scale. Find the moment of inertia of the system of particles about a perpendicular bisector of the meter scale.
MEDIUM
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 5
Three particles each of mass 100 g are placed at the vertices of an equilateral triangle of side length 10 cm. Find the moment of inertia of the system about an axis passing through the centroid of the triangle and perpendicular to its plane.
MEDIUM
11th Telangana Board
IMPORTANT
Intermediate First Year Physics>Chapter 7 - Systems of Particles and Rotational Motion>EXERCISES>Q 6
Four particles each of mass 100 g are placed at the corners of a square of side 10 cm. Find the moment of inertia of the system about an axis passing through the centre of the square and perpendicular to its plane. Find also the radius of gyration of the system.