The problem of finding the plane supporting curve (brachistochrone) along which a heavy
particle released from rest at the given starting point slides with dry (Coulomb) friction and …

The problem of the brachistochronic motion of a variable mass particle is considered. The
particle moves through a resistant medium in the field of arbitrary active forces. Beginning …

The problem of maximizing the horizontal coordinate of a point moving in a vertical plane
under the action of gravity forces, viscous friction, and the interrelated Brachistochrone …

The paper considers brachistochronic motion of a particle along a curve y= y (x) in an
arbitrary force field in the vertical plane of Cartesian coordinate system. The curve is treated …

The Brachistochrone problems with various penalties for fuel expense for a mass moving in
a vertical plane in a uniform field of gravity are considered. The resistance of the medium is …

The motion of a point mass in a vertical plane under the action of gravity, linear viscous
friction, support reaction of the curve, and the thrust is considered. The angle of inclination …

The problem of the brachistochronic motion of a mechanical system composed of rigid
bodies and variable-mass particles is solved. The laws of the time-rate of mass variation of …

The range maximization problem and corresponding the brachistochrone problem with
Coulomb and viscous friction are considered. A maximum principle procedure allows to …

The brachistochrone problem of the rheonomic mechanical system whose motion is subject
to nonholonomic constraints is solved with nonlinear differential equations of motion. Apart …

The plane motion of a heavy dynamically symmetric circular disk (wheel) touching a
supporting regular material curve with no more than one disk periphery point at any instant …