Question1 The figure below (left-side) shows an inverted pendulum where the goal

Question

Question1 The figure below (left-side) shows an inverted pendulum where the goal is to keep the central mass (movable piece) in a vertical position, as balancing a stick. Indeed, this principle is employed in the Segway as presented below (right-side). Determine the relationship between l (current in the coil with N1 turns) and 12 It is known that N, = 2N2 and both air gap mas) is in a vertical position the length of airgap 1 is 75% of the length of airgap 2. The core of the magnetic circuit and attached as showed in the figure below. (current in the coil with N2 turns) to guarantee this goal s vary linearly. When the movable piece (central the etral ss (with magnetic material too) are mechnically central mass (with magnetic material too) are mechanically airgap Iatrgap 2 Central N2 C3s Ni Segway Balancing a stick

Explanation / Answer

The MMF produced by the two coils should be balaned and hence the postion will remain in the vertical postion.

==> N1*I1 = N2 * I2

Since, it is given that N1 = 2*N2; The relationship between currents is I1 = I2 /2

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