A wooden cubical block ABCDEFGO of mass m and side "a" is wrapped by a square wire loop of perimeter 4 a at a /2 as shown. The current in the wire is I . The whole system is placed on frictionless hor

Question

A wooden cubical block ABCDEFGO of mass m and side "a" is wrapped by a square wire loop of perimeter 4 a at $a /2$ as shown. The current in the wire is I . The whole system is placed on frictionless horizontal surface in a uniform magnetic field $B = B_{0} \hat{j}$ . In this situation, normal force between horizontal surface and block passes through a point at a distance x from centre . Select the correct statement(s).

TestHub · Accepted Answer

For rotation equilibrium, taking torque about the point from where normal force passes.

$\frac{a}{2} \times ℓ laB_{0} + ℓ aB_{0} \frac{a}{2} - mgx = 0 x = \frac{ℓ a ^{2} B _{0}}{mg}$

For the block not to topple

$x < \frac{a}{2} \Rightarrow ℓ < \frac{mg}{2 aB _{0}}$

Physics - Magnetism Question with Solution | TestHub

Options:(select one or more)

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