Questions
Three identical thin rods, each of length L and mass m, are welded perpendicular to one another as shown in figure. The assembly is rotated about an axis that passes through the end of one rod and is parallel to another. The moment of inertia of this structure about this axis is
detailed solution
Correct option is D
The moment of the rod on the y axis about the y axis itself is essentially zero (axis through centre, parallel to rod) because the rod is thin. The moments of the rods on the x and z axes are each I = 112ML2(axis through centre, perpendicular to rod) from the table in the chapter.The total moment of the three rods about the y axis (and about the CM) isICM = Ion xaxis+Ion y axis+Ion z axis = 112ML2+0+112ML2 = 16mL2For the moment of the rod-combination about the axis of rotation, the parallel-axis theorem givesI = ICM+3m(L2)2 = [16+34]mL2 = [212+912]mL2 = 1112mL2Talk to our academic expert!
Similar Questions
The moment of inertia of a circular disc of radius 2 m and mass 2 kg, about an axis passing through its centre of mass is 2 kg – . Its moment of inertia about an axis parallel to this axis and passing through its edge (in Kg -) is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests