The laws of conservation of linear and angular momentum are shown to impose certain integral conditions on the body force density in an elastic dielectric which is in static equilibrium.An equation of state, quadratic in the variables Di, Di;j, Ei, Ei;j, is postulated for the body force density. In the case of nonpiezoelectric cubic material symmetry it is found that, within the quadratic approximation, the integral condition imposed by the law of conservation of linear momentum is satisfied only if the body force of this form vanishes.