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1.Moment of Inertia, 1) What is the formula of radius of gyration?, a) k2 = I/A, b) k2 = I2/A, c) k2 = I2/A2, d) k2 = (I/A)1/2, 2) What is the formula of theorem of perpendicular ( Polar axis theorem )axis?, a) Izz = Ixx – Iyy, b) Izz = Ixx + Ah2, c) Izz = Iyy + Ixx, d) None of the mentioned, 3) What is the formula of theorem of parallel axis?, a) IAD = IG + Ah, b) IAB = Ah2 + IG, c) IAB = IG – Ah2, d) IAB = IG + Ixx, 4) What is the unit of radius of gyration?, a) m4, b) m, c) N, d) m2, 5) The moment of inertia of a rectangle base ‘b’ and depth ‘d’ about the base will be, , (a), , (b), , (c), , (d), 6) The moment of inertia of a triangular section of base ‘b’ and height ’h’ about an axis passing, through its C.G. and parallel to the base is
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(a), , (b), , (c), , (d), 7) The polar moment of inertia of a circular section is about, a) X-X axis, , (b) Y-Y axis, , (c) Z-Z axis, , (d) Neutral axis, 8) The moment of inertia of a circular section about an axis perpendicular to the section is, , (a), , (b), , (c)
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(d), 9) The distance in the parallel axis theorem is multiplied by ___________, a) Area, b) Volume, c) Linear distance, d) Area/Volume, 10. Moment of inertia of a body any axis is defined as the _______________ of area about the axis., a) First moment, b) Second moment, c) Third moment, d) Fourth moment, 11. M.I. Of a semi - circular section about Ixx is, a), b), , 𝜋, , D4, , 64, 𝑏𝑑 3, 12, , c) 0.11 R4, d) non of above., 12. Unit of M.I. is, a) mm, b) cm2, c ) m3, d) mm4, 13. The axis passing through the ____________ of a section are called as centroidal axis., a) Top of the apex, b) Bottom of the base, c) Center of gravity, d) non of above, 14. Calculate the polar M.I. of a circular lamina of dia. 150mm., a) 3.94 x 107, b) 4.97 x 107, c ) 5.86 x 107, d) 6.54 x 107, 15. Calculate the radius of gyration of a steel pipe having external Dia. 22mm and internal Dia. 16mm.
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a) 6.8 mm, b) 7.8 mm, c) 8.8 mm, d) 9.8 mm