CH 9
... elements we apply a force F1, F2, ... FN For simplicity we assume that these forces are perpendicular to the object. Consider one element of mass mi The force Fi results in a torque i = Firi , Fi = miai = miri i = miri2 Total torque = 1+ 2 + …+ N = (m1r12 +…+ mNrN2) = I Thus: ...
... elements we apply a force F1, F2, ... FN For simplicity we assume that these forces are perpendicular to the object. Consider one element of mass mi The force Fi results in a torque i = Firi , Fi = miai = miri i = miri2 Total torque = 1+ 2 + …+ N = (m1r12 +…+ mNrN2) = I Thus: ...
mechanics 4, m4
... Students will be expected to be technically competent in the use of calculus and to be able to apply it to a variety of situations. Students are expected to apply the modelling principles detailed in Mechanics 1 in the context of this ...
... Students will be expected to be technically competent in the use of calculus and to be able to apply it to a variety of situations. Students are expected to apply the modelling principles detailed in Mechanics 1 in the context of this ...
CHEM-UA 127: Advanced General Chemistry I
... In order to generate a spectrum, sweep through a range of frequencies and record the frequencies at which radiation is absorbed as well as the intensity of the absorption. This gives us a graph of absorption intensity α(ν) (also denoted I(ν)) at frequency ν. Generally, we are interested in a limited ...
... In order to generate a spectrum, sweep through a range of frequencies and record the frequencies at which radiation is absorbed as well as the intensity of the absorption. This gives us a graph of absorption intensity α(ν) (also denoted I(ν)) at frequency ν. Generally, we are interested in a limited ...
Experiment No : M3 Name of the Experiment: MOMENT OF INERTIA
... angular velocity (i.e. no torque on him/her). After a while, she/he suddenly closes her/his arms. Is there any change in the angular velocity of ice skater as a result of this action? If your answer is positive, does it increase or decrease? Explain. 2) How could you measure moment of inertia in a d ...
... angular velocity (i.e. no torque on him/her). After a while, she/he suddenly closes her/his arms. Is there any change in the angular velocity of ice skater as a result of this action? If your answer is positive, does it increase or decrease? Explain. 2) How could you measure moment of inertia in a d ...
Rotational spectroscopy
Rotational spectroscopy is concerned with the measurement of the energies of transitions between quantized rotational states of molecules in the gas phase. The spectra of polar molecules can be measured in absorption or emission by microwave spectroscopy or by far infrared spectroscopy. The rotational spectra of non-polar molecules cannot be observed by those methods, but can be observed and measured by Raman spectroscopy. Rotational spectroscopy is sometimes referred to as pure rotational spectroscopy to distinguish it from rotational-vibrational spectroscopy where changes in rotational energy occur together with changes in vibrational energy, and also from ro-vibronic spectroscopy (or just vibronic spectroscopy) where rotational, vibrational and electronic energy changes occur simultaneously.For rotational spectroscopy, molecules are classified according to symmetry into spherical top, linear and symmetric top; analytical expressions can be derived for the rotational energy terms of these molecules. Analytical expressions can be derived for the fourth category, asymmetric top, for rotational levels up to J=3, but higher energy levels need to be determined using numerical methods. The rotational energies are derived theoretically by considering the molecules to be rigid rotors and then applying extra terms to account for centrifugal distortion, fine structure, hyperfine structure and Coriolis coupling. Fitting the spectra to the theoretical expressions gives numerical values of the angular moments of inertia from which very precise values of molecular bond lengths and angles can be derived in favorable cases. In the presence of an electrostatic field there is Stark splitting which allows molecular electric dipole moments to be determined.An important application of rotational spectroscopy is in exploration of the chemical composition of the interstellar medium using radio telescopes.