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Class 11
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Physics
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Systems of Particles and Rotational Motion
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Centre of Mass
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Introduction to Centre of Mass
Introduction to Centre of Mass
12 Mins
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REVISE WITH CONCEPTS
Understanding Centre of Mass
Example
Definitions
Formulaes
>
Centre of Mass of a Two Particle System
Example
Definitions
Formulaes
>
Centre of Mass of a System of N Particles
Example
Definitions
Formulaes
>
Centre of Mass -Medium
Example
Definitions
Formulaes
>
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QUICK SUMMARY WITH STORIES
Center of Mass
3 mins
Centre of Mass of Half Ring
2 mins
Centre of Mass of a Spherical Shell and Half Shell
3 mins
Important Questions
A uniform metal disc of radius
$R$
is taken and out of it a disc of diameter
$2R $
is cut off from the end. The centre of mass of the remaining part will be:
Medium
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Three particles of mass
$1kg,2kg$
and
$3kg$
are placed at the corners
$A,B$
and
$C$
respectively of an equilateral triangle
$ABC$
of edge
$1m$
. Find the distance of their centre of mass from
$A$
.
Hard
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Find centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particle are 100g, 150g, and 200g respectively. Each side of the equilateral triangle is 0.5 m long.
Medium
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Find the center of mass of a uniform L shaped lamina (a thin flat plate) with dimensions as shown. The mass of the lamina is 3 Kg.
Medium
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Three identical spheres, each of mass
$1$
kg are placed touching each other with their centres on a straight line.
Their centers are marked P, Q and R respectively. The distance of center of mass of the system from P is:
Medium
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A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumference of the discs coincide. The centre of mass of the new disc is
$αR$
from the centre of the bigger disc. The value of
$α$
is
Medium
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The center of mass of a system of three particles of masses
$1g,2g$
and
$3g$
is taken as the origin of a coordinate system. The position vector of a fourth particle of mass
$4g$
such that the center of mass of the four particle system lies at the point
$(1,2,3,)$
is
$α(i^+2j^ +3k^)$
, where
$α$
is a constant. The value of
$α$
is: -
Hard
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In the HCl molecule, the separation between the nuclei of the two atoms is about
$1.27A˚(1A˚=10_{−10}m)$
. Find the approximate location of the CM of the molecule, given that a chlorine atom is about 35.5 times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus.
Medium
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Four particles of masses
$1$
kg,2kg,
$3$
kg and
$4$
kg are placed at the four vertices A, B, C and D, respectively of a square of side
$1m$
. Fine the position of centre of mass of the particles.
Medium
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A circular plate of uniform thickness has diameter 56 cm.A circular part of diameter 42 cm is removed from one edge.What is the position of the center of mass of the remaining part
Medium
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>