Physics, asked by sazzadspar, 10 months ago

If the masses M,2M,3M and so on are kept at a distance 1m,2m,3m ......... from the origin along X-axis then find the location of centre of mass of n particle system.​

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Answered by sharmagaurav18k
0

Answer:

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11th

Physics

Systems of Particles and Rotational Motion

Centre of Mass

Particles of masses m, 2m, ...

PHYSICS

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Asked on October 15, 2019 by

Vena Thukaram

Particles of masses m,2m,3m,...,nm are placed on the same line at distances L,2L,3L,...,nL from O. The distance of center of mass from O is

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VIDEO EXPLANATION

ANSWER

∵x

CM

=

m+2m+...+nm

mL+2m×2L+...+nm×nL

=

(1+2+...+n)

L(1

2

+2

2

+...+n

2

)

=L

∑n

∑n

2

=L

2

n(n+1)

6

n(n+1)(2n+1)

=

3

(2n+1)L

solution

Explanation:

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