Pontryagin's maximum principle is used to solve the problem of bringing a rotating rigid body to rest in minimum time.doi:10.1007/BF01535513G. R. WalshKluwer Academic PublishersJournal of Engineering MathematicsG. R. Walsh, Time optimal rotational motion, Journ. Eng. Math. , 3 (1969) 95–...
In addition, it shows that the various environments do not interchange during the 10 s period of selective saturation, providing an upper limit to the rate of exchange of capping ligands, either with the free TOPO pool of molecules or in between the various surface sites. Thus, relaxation ...
Average energy in one time period of a simple harmonic oscillator whose amplitude is A, angular velocity ,ωand mass m , is View Solution The time period of simple harmonic motion depends upon View Solution The equation of motion of a particle executing simple harmonic motion isa+16π2x=0In...
The equations governing the flow of a viscous incompressible fluid around a rigid body that performs a prescribed time-periodic motion with constant axes of translation and rotation are investigated. Under the assumption that the period and the angular velocity of the prescribed rigid-body motion are...
“period” of the Earth’s moving round the Sun. Isaac Newton had not thought much that everyone might have his own time standards, i.e. observers might think that some times started at a certain moment, for an instance, measuring the time of a car traveling from position A to B, the...
In Delasay, Ingolfsson, Kolfal, and Schultz (2019), a state variable is used to count the number of customers served during the current busy period, as a measure of fatigue. They show that average service time increases when servers become fatigued. Under high congestion levels, agents work...
The second disturbance considers a failure on the measurement of x 2 ( t ) adding 0.1 m to its actual value for the period of time 80 ≤ t ≤ 81 . Figure 4 shows the time evolution of the set of robots in the X-Y plane, where the effects of the introduced disturbances are ...
Barycentric Coordinate Time (TCB), which is a coordinate time having its spatial origin at the solar system barycenter. TCB differs from TDB in rate. Sidereal Time, with unit of duration the period of the Earth's rotation with respect to a point nearly fixed with respect to the stars, is...
A velocity vs time graph is a type of graph that compares how velocity changes over a period of time. This type of graph can be used to understand both the velocity of an object, the direction it is moving, its acceleration and the displacement of the object. The slope of the line in...
Real-time time-dependent density-functional theory (RT-TDDFT) and linear response time-dependent density-functional theory (LR-TDDFT) are two important approaches to simulate electronic spectra. However, the basis sets used in such calculations are usual