The linear density of a rod of length 
varies as 
, where 
is the distance from one of its ends.
The position of center of mass will be
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Let the rod be along 
-axis with origin at one of its ends. As, the rod is along 
-axis, so
, i.e. centre of mass will be on the rod.
Now, consider an element of rod of length 
at a distance 
from the origin.
Mass of element, 
= 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Two bodies of masses 1 kg and 2 kg are lying in -plane at and , respectively. What are the co-or…
In carbon monoxide molecules, the carbon and the oxygen atoms are separated by distance . The dist…
All the particles of a body are situated at a distance from the origin. The distance of center of …
Three-point masses and are placed at the corners of a thin massless rectangular sheet ( ) as sho…
Four-point masses are placed at four corners of a square of side 4 cm as shown in figure.
Now, cho…
Find the -coordinate of the center of mass of the bricks shown in the figure.