56. A rod of length is 3m and its mass acting per unit length is directly proportional to distance
from one of its end then its centre of gravity from that end will be at
Text Solution
Verified by ExpertsThe correct answer is:
B
Let us consider an elementary length dx at a distance x from one end. It’s mass =
[k = proportionality constant] Then centre of gravity of the rod
is given by


or, 
Centre of gravity of the rod will be at distance of 2
from one end.
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
A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energ…
A solid sphere is rotating freely about its symmetry axis in free space. The radius of the sphere i…
Three objects, : (a solid sphere), : (a thin circular disk) and : (a circular ring), each have t…
The moment of the force, at , about the point , is given by
A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceler…
Two discs of same moment of inertia rotating about their regular axis passing through centre and pe…
.