EASY
JEE Main
IMPORTANT
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The ratio of angular speeds of minute hand and hour hand of a watch is

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Important Questions on Motion in Two Dimensions

EASY
JEE Main
IMPORTANT
What is the value of linear velocity, if ω=3i^-4j^+k^ and r=5i^-6j^+6k^?
MEDIUM
JEE Main
IMPORTANT
When a ceiling fan is switched off, its angular velocity reduces to 50 % while it makes 36 rotations. How many more rotation will it make before coming to rest (assume uniform angular retardation)?
MEDIUM
JEE Main
IMPORTANT
A car is moving with speed 30 m s-1 on a circular path of radius 500 m. Its speed is increasing at the rate of 2 m s-2, what is the acceleration of the car?
HARD
JEE Main
IMPORTANT
A car is travelling with linear velocity v on a circular road of the radius r. If it is increasing its speed at the rate of a m s-2, then the resultant acceleration will be
MEDIUM
JEE Main
IMPORTANT

A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector a is correctly shown in

HARD
JEE Main
IMPORTANT
A stone is projected from level ground at t=0 s such that, its horizontal and vertical components of initial velocity are 10 m s-1 and 20 m s-1, respectively. Then, the instant of time, at which the tangential and normal component of acceleration of the stone is same, is (neglect air resistance and g=10 m s-2)
MEDIUM
JEE Main
IMPORTANT
A particle is acted upon by a force of constant magnitude, which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows that
HARD
JEE Main
IMPORTANT
For a particle performing uniform circular motion, choose the correct statement(s) from the following.