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A person wants to roll a solid non-conducting spherical ball of mass m and radius r on a surface whose coefficient of static friction is mu. He placed the ball on the surface wrapped with n turns of closely packed conducting coils of negligible mass at the diameter. By some arrangement he is able to pass a current i through the coils in anti-clockwise direction when viewed downwards from point P. A constant horizontal magnetic field vecB is present throughout the space along the positive x direction as shown in the figure. (Assume mu is large enough to help pure rolling motion and initially the plane of the coils is perpendicular to the y-axs) The angular velocity of the ball when it is has rotated through an angle theta is (thetalt180^(@)) |
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Answer» `sqrt(10/7 (piniB)/m SIN THETA)` |
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