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Two equal masses are connected by means of a spring and two other identical springs fixed to rigid supports on either side (Fig. 1.3), permit the masses to jointly undergo simple harmonic motion along a straight line, so that the system corresponds to two coupled oscillations. Assume that m1 = m2 = m and the stiffness constant is k for both the oscillators.
(a) Form the differential equations for both the oscillators and solve the coupled equations and obtain the frequencies of oscillations.
(b) Discuss the modes of oscillation and sketch the modes.
0.60mol of argon gas is admitted to an evacuated 70cm3 container at 10 ?C. The gas then undergoes an isochoric heating to a temperature of 500 ?C. compute the final pressure of the gas
Discuss (from lecture materials) the implications for sport managers and coaches/teachers in terms of what is required to overcome barriers to participation for people with disabilities, including practical examples (from both websites below) of m..
Point charges of 26 µC and 48 µC are placed 0.500 meter apart. Find the magnitude and direction of the electric field halfway between them
In a Young's double-slit experiment, the 7th dark fringe is located 0.029 m to the side of the central bright fringe on a flat screen, What is the wavelength of the light being used
A 9.5 cm diameter wire coil is initially oriented so that its plane is perpendicular to a magnetic field of 0.67 T pointing up. During the course of 0.28 s , the field is changed to one of 0.31 T pointing down.
A 200 g mass attached to a horizontal spring oscillates at a frequency of 2.0 Hz . At one instant, the mass is at x= 5 cm and has v= -30 cm/s. a.Determine the period. b. Determine the amplitude. c. Determine the maximum speed. d. Determine the total ..
The isotope lithium-7 has a mass of 7.0160 atomic mass units, andthe isotope lithium-6 has a mass of 6.0151 atomic mass units. calculate the average atomic mass of lithium
You are given a container with 5.0g of hydrogen atoms. What is the total charge on the electrons in the container? What is the total charge on the protons
An aircraft uses a rocket-assisted takeoff unit (RATO) that is capable of discharging 47.0 kg of gas in 10.0 s with an exhaust velocity of 1100 m/s. What is the thrust developed by the rocket
The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 15-g nail
An empty rubber balloon has a mass of .0120kg. The balloon isfilled with heliumat a density of .181 kg/m^3. At this density theballoon is spherical with a radius of .5m. If the filled balloon isfastened to a vertical line, what is the tension in t..
In an electron diffraction experiment, electrons are accelerated during voltage dissimilarity and then hit a wall with two small slits separated by 0.50 nm. 20 cm beyond the wall there is a phosphorescent screen where a diffraction pattern forms when..
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