Questions
A metallic sheet of mass 2 kg has the shape of an isosceles triangle OAB as shown in figure. Then its moment of inertia about an axis passing through O and perpendicular to its plane is
detailed solution
Correct option is C
If four such triangles are assembled a square ABCD is formed as shown in figure. Whose side l=2×2cos45o m=22 m.ml=Mass of the square =4×2 Kg=8 KgMoment of inertia of the square about an axis passing through O and perpendicular to its plane is given by I01=112m1l2+112m1l2=16×8×222Kg−m2=323Kg−m2∴ Moment of inertia of the triangle ABC, I0=I014=83Kg−m2Similar 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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