HARD
11th West Bengal Board
IMPORTANT
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A solid cone of height h has a circular base of radius r. It rests on an inclined plane without slipping. What is the maximum angle of the inclined plane at which the cone is just on the point of toppling?

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Important Questions on Motion of System of Particles and Rigid Body

MEDIUM
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 6
A door 7 m high and 3 m wide weighs 60 kg. A hinge 1 m from the top and another 1 m from the bottom, each supports half the door's weight. Assume that the CG is at the geometrical centre of the door. Determine the horizontal and vertical force components exerted by each hinge on the door.
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 7
The left and the right arm of a balance beam are 10 cm and 10.5 cm long. The rod rests in a horizontal position without any scale-pan. The rod also rests in a horizontal position if two scale-pans of unequal weights are suspended from the two ends of the beam. A body is now placed on the right scale-pan and a mass of 100 g is placed on the left scale-pan to make the beam horizontal. Find the true weight of the 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 8
A cube of uniform side a and mass m rests on a rough horizontal table. A horizontal force P is applied normal to one of the faces at a point that is directly above the centre of the face at a height 34a above the base. For what minimum value of P, the cube begins to tip about an edge?
MEDIUM
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 9
Three masses 2 g, 3 g and 5 g are situated at the corners of an equilateral triangle with sides 5 cm long. Find the distance of the centre of gravity from the corner where 2 g is kept.
MEDIUM
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 10
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.
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.