HARD
11th West Bengal Board
IMPORTANT
Earn 100

A stone is dropped from the top of a tower of height h. n seconds later, a second stone is thrown downwards from the same point with a vertically downward velocity u. Show that the two stones will reach the foot of the tower simultaneously if 8hu-gn2=gn22u-gn2.

Important Questions on Motion of a Particle

MEDIUM
11th West Bengal Board
IMPORTANT
Find the angular velocities of the hour, minute and second hands of a clock.
MEDIUM
11th West Bengal Board
IMPORTANT
A point on the rim of a rotating wheel has linear velocity twice the linear velocity of a particle 10 cm nearer to the axis. Find the diameter of the wheel. 
HARD
11th West Bengal Board
IMPORTANT
A stone, tied to the end of a string 2 m, is whirled in a circle 50 times in every 10 seconds. Find the angular velocity, linear velocity and centripetal acceleration of the stone.
MEDIUM
11th West Bengal Board
IMPORTANT
A fly-wheel of radius 50 cm increases its speed from 600 r.p.m to 1200 r.p.m uniformly in 1 min. Calculate the angular acceleration and linear acceleration of a point on its rim.
MEDIUM
11th West Bengal Board
IMPORTANT
A wheel of radius 10 cm starts from rest and accelerates uniformly. If a point on its rim attains a linear velocity of 150 cm/s at the end of 15th revolution of the wheel. Find is the tangential, centripetal and resultant acceleration at the end of 15th revolution.
MEDIUM
11th West Bengal Board
IMPORTANT
The angular displacement of a particle is given by θ=14t+4t2. θ being measured in radian and t in second. Find the angular acceleration of the particle.
EASY
11th West Bengal Board
IMPORTANT
A particle has displacement 12 cm towards east and 9 cm towards north and then 6 cm vertically upward. Find the magnitude of the sum of these displacements.
EASY
11th West Bengal Board
IMPORTANT

A shell from a naval gun barrel 3 m long has a muzzle velocity of 820 ms-1. Find the average speed of the shell while being accelerated in the gun barrel.