A slender metal bar AC of length ( and mass m is pivoted at A as shown in Figure. The bar oscillates in a vertical plane with simple angular harmonic motion such that at any instant of time t the angle O between the vertical and the axis of the bar is given by 0= Ao sin (@x), where 6 and w are constants. The bar oscillates in a uniform magnetic field, where the field is everywhere perpendicular to the bar and directed into the plane of the diagram.

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A slender metal bar AC of length ( and mass m is pivoted at A as shown in Figure. The bar
oscillates in a vertical plane with simple angular harmonic motion such that at any instant of
time t the angle 0 between the vertical and the axis of the bar is given by 0 = A sin (@t),
where 6 and w are constants. The bar oscillates in a uniform magnetic field, where the field
is everywhere perpendicular to the bar and directed into the plane of the diagram.
Transcribed Image Text:A slender metal bar AC of length ( and mass m is pivoted at A as shown in Figure. The bar oscillates in a vertical plane with simple angular harmonic motion such that at any instant of time t the angle 0 between the vertical and the axis of the bar is given by 0 = A sin (@t), where 6 and w are constants. The bar oscillates in a uniform magnetic field, where the field is everywhere perpendicular to the bar and directed into the plane of the diagram.
(i) Write the magnitude of dɛ, the emf induced in an element of length dr, at an instant when
v, the linear velocity of the element, is directed as shown in the figure. The element dr is
located at a distance of r from A. Make the necessary substitutions to express dƐ explicitly in
terms r and t.
Transcribed Image Text:(i) Write the magnitude of dɛ, the emf induced in an element of length dr, at an instant when v, the linear velocity of the element, is directed as shown in the figure. The element dr is located at a distance of r from A. Make the necessary substitutions to express dƐ explicitly in terms r and t.
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