For which of the following bodies, the principle of perpendicular axes is applicable?
Q.1 (i) For which of the following bodies, the principle of perpendicular axes is applicable?
A. Spherical
B. Conical
C. Cylindrical
D. Laminar
Q.1 (i) For which of the following bodies, the principle of perpendicular axes is applicable?
A. Spherical
B. Conical
C. Cylindrical
D. Laminar
Best answer
Answer: D. Laminar
Answer: (d) Laminar
The perpendicular axes theorem \(I_z = I_x + I_y\) holds only for a plane (laminar) body, whose mass lies entirely in the \(x\)–\(y\) plane, because it uses \(r^2 = x^2 + y^2\) for every particle. It cannot be used for three-dimensional bodies such as spheres, cones or cylinders.
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