A square plate has a moment of inertia I0 about an axis lying in its plane, passing through its centre and making an angle θ with one of the sides. Which graph represents the variation of I with θ ?

Question

A square plate has a moment of inertia I0 about an axis lying in its plane, passing through its centre and making an angle θ with one of the sides. Which graph represents the variation of I with θ ? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Using perpendicular axis theorem Iz=Ix+Iy I=2I' I'=(1/2)= Constant

Q. A square plate has a moment of inertia $I_{0}$ about an axis lying in its plane, passing through its centre and making an angle $θ$ with one of the sides. Which graph represents the variation of $I$ with $θ$ ?

Using perpendicular axis theorem
$I_{z} = I_{x} + I_{y}$
$I = 2 I^{'}$
$I^{'} = \frac{1}{2} =$ Constant

Q. A square plate has a moment of inertia I0​ about an axis lying in its plane, passing through its centre and making an angle θ with one of the sides. Which graph represents the variation of I with θ ?

Using perpendicular axis theorem Iz​=Ix​+Iy​ I=2I′ I′=21​= Constant

Q. A square plate has a moment of inertia $I_{0}$ about an axis lying in its plane, passing through its centre and making an angle $θ$ with one of the sides. Which graph represents the variation of $I$ with $θ$ ?

Using perpendicular axis theorem
$I_{z} = I_{x} + I_{y}$
$I = 2 I^{'}$
$I^{'} = \frac{1}{2} =$ Constant