Problem Index
771
1.50 A boy walks from the bow to the stern of a boat. To find the distance through
which the boat moves.
1.51 A loaded rod is struck so that it moves with pure rotation. To find the position
where it should be struck.
1.52 Centre of mass of solid cone.
1.53 Centre of mass of wire in the form of an arc of a circle.
1.54 Centre of mass of velocity of pigeons when one of them is shot dead and rest
fly with the same speed.
1.55 Centre of mass of a rod if linear density is proportional to the distance from
one end.
1.56 Centre of mass of a system of particles whose masses and distance from a
fixed point are in the ratio of natural numbers.
1.57 Centre of mass of a semicircular disc if density varies as r 2 from the centre of
base.
1.58 Centre of mass of water molecule.
1.59 Centre of mass of the combined structure of three laminas.
1.60 Stable position of a particle in the given potential.
1.61 Equilibrium position moving in the given potential and frequency of small
amplitude oscillations.
1.62 Instability of a cube for sliding or toppling.
1.63 Limiting equilibrium for a ladder leaning against a smooth wall.
Chapter 2
Particle Dynamics
2.1 Motion of blocks in tandem on a horizontal table.
2.2 Motion of two blocks connected over a pulley.
2.3 A horizontal force is applied to a block over which sits another block.
Maximum force applied so that the upper block may not slide.
2.4 Contact force.
2.5 Pulling and pushing a box at an angle.
2.6 Maximum length of a chain hanging over a table without sliding.
2.7 Work done for pulling one-third of the chain hanging over the table.
2.8 Motion of a block on a rough table by a force due to weight of another block
which is connected by a string passing over a pulley.
2.9 Motion of a block on a rough incline.
2.10 A block is placed on a parabolic ramp. Maximum height at which block does
not slip.
2.11 Sliding of a block on a rough incline.
2.12 Net torque and total angular momentum and acceleration of blocks on a system
comprising an incline, two blocks, pulley and string.
2.13 Motion of a box up and down an incline.
2.14 Motion of a mass on a wedge incline placed on a smooth table.
771
1.50 A boy walks from the bow to the stern of a boat. To find the distance through
which the boat moves.
1.51 A loaded rod is struck so that it moves with pure rotation. To find the position
where it should be struck.
1.52 Centre of mass of solid cone.
1.53 Centre of mass of wire in the form of an arc of a circle.
1.54 Centre of mass of velocity of pigeons when one of them is shot dead and rest
fly with the same speed.
1.55 Centre of mass of a rod if linear density is proportional to the distance from
one end.
1.56 Centre of mass of a system of particles whose masses and distance from a
fixed point are in the ratio of natural numbers.
1.57 Centre of mass of a semicircular disc if density varies as r 2 from the centre of
base.
1.58 Centre of mass of water molecule.
1.59 Centre of mass of the combined structure of three laminas.
1.60 Stable position of a particle in the given potential.
1.61 Equilibrium position moving in the given potential and frequency of small
amplitude oscillations.
1.62 Instability of a cube for sliding or toppling.
1.63 Limiting equilibrium for a ladder leaning against a smooth wall.
Chapter 2
Particle Dynamics
2.1 Motion of blocks in tandem on a horizontal table.
2.2 Motion of two blocks connected over a pulley.
2.3 A horizontal force is applied to a block over which sits another block.
Maximum force applied so that the upper block may not slide.
2.4 Contact force.
2.5 Pulling and pushing a box at an angle.
2.6 Maximum length of a chain hanging over a table without sliding.
2.7 Work done for pulling one-third of the chain hanging over the table.
2.8 Motion of a block on a rough table by a force due to weight of another block
which is connected by a string passing over a pulley.
2.9 Motion of a block on a rough incline.
2.10 A block is placed on a parabolic ramp. Maximum height at which block does
not slip.
2.11 Sliding of a block on a rough incline.
2.12 Net torque and total angular momentum and acceleration of blocks on a system
comprising an incline, two blocks, pulley and string.
2.13 Motion of a box up and down an incline.
2.14 Motion of a mass on a wedge incline placed on a smooth table.