Questions
Three identical spherical shells, each of mass m and radius r are placed as shown in figure. Consider an axis XX', which is touching the two shells and passing through diameter of third shell. Moment of inertia of the system consisting of these three spherical shells about XX' axis is [CBSE AIPMT 2015]
detailed solution
Correct option is D
The total moment of inertia of the system,I=I1+I2+I3 …(i)Here, I1=23mr2I2=I3=23mr2+mr2 (From parallel axes theorem)=53mr2From Eq. (i), we getI=23mr2+2×53mr2=mr223+103⇒I=4mr2Talk to our academic expert!
Similar Questions
A rectangular loop has mass M and sides a and b. An axis passes tlrrough the centre C of the loop and is parallel to side a (lie in the plane of the loop). Then the radius of gyration of the loop, for the axis is
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