Questions
A thin rod of length 4l and mass 4m is bent at the points as shown in figure. What is the moment of inertia of the rod about the axis passing through point O and perpendicular to the plane of the paper?
detailed solution
Correct option is B
Total MI=I1+I2+I3+I4=2I1+2I2=2I1+I2Ii=I3; I1=I4Now,I2=I3=Ml23----(1)Using parallel axis theorem, we haveI=ICM+Mx2 and x=l2+l22I1=I4=Ml212+Ml2+l222=4Ml23----(2)Putting all values of (1) & (2) in MI=I1+I2+I3+I4, we get I=10Ml23Talk to our academic expert!
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The radius of gyration of a rod of length L and mass M about an axis perpendicular to its length and passing through a point at a distance L/3 from one of its ends is
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