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.
Answers
Answered by
0
Answer:
ould you like to ask?
11th
Physics
Systems of Particles and Rotational Motion
Centre of Mass
Particles of masses m, 2m, ...
PHYSICS
avatar
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
HARD
Share
Study later
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:
I I hope this is your answer please follow me and mark me brainly
Similar questions