MEDIUM
11th West Bengal Board
IMPORTANT
Earn 100

A square hole has been punched out of a circular sheet in such a manner that the radius of the circle is a diagonal of the square. If a be the diameter of the circle, show that the CG of the remaining portion of the sheet is at a distance of a8π-4 from the centre of the circle.

Important Questions on Motion of System of Particles and Rigid Body

HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 11
Two particles of masses 1 kg and 2 kg are situated on the X and Y axes respectively at a distance 1 m and 2 m from the origin. Locate the centre of mass of the system.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 12

A small sphere of radius R is held against the inner surface of a larger sphere of radius 6 R  The Question Image

masses of large and small spheres are 4 M and M respectively. The arrangement is placed on a horizontal table. There is no friction between any surfaces of contact. The small spheres is now released. Find the coordinates of the centre of the larger sphere when the smaller sphere reaches the other extreme position.

HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 13
A bowling ball of mass M and radius R is thrown so that the instant it touches the floor it is moving with a velocity 5 m/s horizontally and is not rotating. The coefficient of friction between the ball and the floor is 0.08. Find the time the ball slides.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 13
A bowling ball of mass M and radius R is thrown so that the instant it touches the floor it is moving with a velocity 5 m/s horizontally and is not rotating. The coefficient of friction between the ball and the floor is 0.08. Find the distance the ball slides before it rolls without slipping.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 13
A bowling ball of mass M and radius R is thrown so that the instant it touches the floor it is moving with a velocity 5 m/s horizontally and is not rotating. The coefficient of friction between the ball and the floor is 0.08. Find the velocity at which it begins to roll.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 14
A horizontal disc rotating freely about a vertical axis makes 100 r.p.m. A small price of wax of mass 10 kg falls vertically on the disc and adheres to it at a distance of 9 cm from the axis. If the number of revolutions per minute is thereby reduced to 90, Calculate the moment of inertia of the disc.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 15
Show that the energy of a rolling body which is not slipping is equivalent to that of pure rotation with the same angular speed about an axis through the point of contact of the rolling body.
HARD
11th West Bengal Board
IMPORTANT
A Text Book of PHYSICS PART I : CLASS 11>Chapter 10 - Motion of System of Particles and Rigid Body>EXERCISE>Q 16
A ball is thrown onto a floor in such a way that it initially slides with a speed u without rolling. It gradually picks up rotational motion. Prove that it will roll without sliding when its speed reduces to 57u.