1
JEE Main 2021 (Online) 20th July Morning Shift
Numerical
+4
-1
A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm' travelling along the surface hits at one end of the rod with a velocity 'u' in a direction perpendicular to the rod. The collision is completely elastic. After collision, particle comes to rest. The ratio of masses $$\left( {{m \over M}} \right)$$ is $${1 \over x}$$. The value of 'x' will be ____________.
Your input ____
2
JEE Main 2021 (Online) 18th March Evening Shift
Numerical
+4
-1
The projectile motion of a particle of mass 5 g is shown in the figure.

The initial velocity of the particle is $$5\sqrt 2 $$ ms-1 and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points A and B is x $$\times$$ 10-2 kgms-1. The value of x, to the nearest integer, is __________.

The initial velocity of the particle is $$5\sqrt 2 $$ ms-1 and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points A and B is x $$\times$$ 10-2 kgms-1. The value of x, to the nearest integer, is __________.
Your input ____
3
JEE Main 2021 (Online) 18th March Morning Shift
Numerical
+4
-1
A ball of mass 10 kg moving with a velocity 10$$\sqrt 3 $$ m/s along the x-axis, hits another ball of mass 20 kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along y-axis with a speed of 10 m/s. The second piece starts moving at an angle of 30$$^\circ$$ with respect to the x-axis. The velocity of the ball moving at 30$$^\circ$$ with x-axis is x m/s. The configuration of pieces after collision is shown in the figure below. The value of x to the nearest integer is ____________.


Your input ____
4
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
The disc of mass M with uniform surface mass density $$\sigma$$ is shown in the figure. The centre of mass of the quarter disc (the shaded area) is at the position $${x \over 3}{a \over \pi },{x \over 3}{a \over \pi }$$ where x is _____________. (Round off to the Nearest Integer).
[a is an area as shown in the figure]

[a is an area as shown in the figure]

Your input ____
Questions Asked from Center of Mass and Collision (Numerical)
Number in Brackets after Paper Indicates No. of Questions
JEE Main 2022 (Online) 28th July Evening Shift (1) JEE Main 2022 (Online) 28th June Morning Shift (2) JEE Main 2022 (Online) 27th June Evening Shift (1) JEE Main 2022 (Online) 26th June Evening Shift (1) JEE Main 2021 (Online) 27th August Evening Shift (1) JEE Main 2021 (Online) 26th August Morning Shift (1) JEE Main 2021 (Online) 25th July Morning Shift (1) JEE Main 2021 (Online) 22th July Evening Shift (1) JEE Main 2021 (Online) 20th July Morning Shift (1) JEE Main 2021 (Online) 18th March Evening Shift (1) JEE Main 2021 (Online) 18th March Morning Shift (1) JEE Main 2021 (Online) 17th March Evening Shift (1) JEE Main 2021 (Online) 16th March Evening Shift (1) JEE Main 2021 (Online) 16th March Morning Shift (1) JEE Main 2021 (Online) 25th February Evening Shift (1) JEE Main 2021 (Online) 24th February Evening Shift (1) JEE Main 2021 (Online) 24th February Morning Shift (1) JEE Main 2020 (Online) 6th September Morning Slot (1) JEE Main 2020 (Online) 5th September Evening Slot (1) JEE Main 2020 (Online) 5th September Morning Slot (1) JEE Main 2020 (Online) 2nd September Evening Slot (1)