We report on the observation of nonclassical rotational inertia in solid helium-4 confined to an annular channel in a sample cell under torsional motion, demonstrating superfluid behavior. The effect shows up as a drop in the resonant oscillation period as the sample cell is cooled below 230 millikelvin. Measurement of 17 solid samples allows us to map out the boundary of this superfluid-like s...

Carbenes of platinum and palladium, PtC3 and PdC3, were generated in the gas phase through laser vaporization of a metal target in the presence of a low concentration of a hydrocarbon precursor undergoing supersonic expansion. Rotational spectroscopy and ab initio calculations confirm that both molecules are linear. The geometry of PtC3 was accurately determined by fitting to the experimental m...

Moments of inertia define the amount torque needed to rotate an object at a defined angular acceleration around given axis. With limited information available for multi-rotor unmanned aerial vehicles (UAVs), this paper sets out experimentally determine moments hexarotor UAV with mounted payload. The are calculated in three rotational axes using pendulum and torsion tests. test is performed veri...

Friction decoupling, i.e. the computation of friction vector components making separate use corresponding velocity components, is common in staggered grid models SWE simplifications (Zero-Inertia and Local Inertia Approximation), due to programming simplicity consequent calculations speed-up. In present paper, effect decoupling has been studied from theoretical numerical point view. First, it f...

Logarithmic capacity is shown to be minimal for a planar set having N-fold rotational symmetry ( $$N \ge 3$$ ), among all conductors obtained from the by area-preserving linear transformations. Newtonian and Riesz capacities obey similar property in dimensions, when suitably normalized transformations are applied irreducible group. A corollary Pólya Schiffer’s lower bound on terms of moment ine...

The sum of the first n ≥ 1 energy levels of the planar Laplacian with constant magnetic field of given total flux is shown to be maximal among triangles for the equilateral triangle, under normalization of the ratio (moment of inertia)/(area) on the domain. The result holds for both Dirichlet and Neumann boundary conditions, with an analogue for Robin (or de Gennes) boundary conditions too. The...

Participants watched a recording of the motions produced when another person wielded a pendulum. The participants’ task was to judge the heaviness of the pendulum. We found that participants were similarly adept at judging the pendulum’s heaviness as when participants wield the pendulum themselves and perceive heaviness haptically. It is hypothesized that people are able to make these visual he...

We present the mechanics of a model of supersolid in the frame of the GrossPitaevskii equation at T = 0K that do not require defects nor vacancies. A set of coupled nonlinear partial differential equations plus boundary conditions is derived. The mechanical equilibrium is studied under external constrains as steady rotation or external stress. Our model displays a paradoxical behavior: the exis...

The static path approximation to the path integral representation of partition function provides a natural microscopic basis to deal with thermal fluctuations around mean field configurations. Using this approach for one-dimensional cranking Hamiltonian with quadrupolequadrupole interaction term we have studied a few properties like energy, level density, level density parameter(a) and moment o...

This article presents a new composite body method for numerically forming the inertia matrix and the bias vector of manipulators, which is more efficient than the other two existing types of composite body methods. The main discrepancy of this one from the existing ones is that all points in a manipulator are observed from the origin of the base frame and the distances are all measured from thi...