Find the oscillation amplitude of a diatomic molecule (CO) for n= 1,2,3,4 & 10 ,when K=1926 N\m and reduced mass= 6.86 a
Q: A double pendulum has two degrees of freedom. Produce a reasonable Lagrangian L(01, 02, 01, 02) for…
A: The required solution is following.
Q: 2 4 6 8 10 12 t (s) -2 -4
A: From the given graph, The amplitude (maximum displacement) of the wave is given as, A=4 m
Q: An oscillator has an equation x(t) = (0.45 m) cos ( 477 t) Assuming w is in Sl units, calculate the…
A: Given value--- oscillation equation- X(t) = (0.45m) cos (477t) . We have to find---…
Q: The second was officially defined by the Simple Harmonic Motion of the Caesium 133 atom. It has a…
A: The given values are, f=9.19×109 Hzm=2.207×10-25 kgA=3.34×10-10 m
Q: Problem 5: Consider a 1D simple harmonic oscillator (without damping). (a) Compute the time averages…
A:
Q: The diatomic radical, 160¹H, can be treated approximately as a harmonic oscillator, with a force…
A:
Q: On a frictionless surface, a 1kg block oscillates on a spring with a spring constant of 20 N/m. At…
A:
Q: Task 8. Consider a unit cube of an isotropic solid occupying the region 0≤ x ≤ 1, 0≤ y ≤ 1, 0≤ z <1.…
A: Volume of a cube is given byV=xyz, where x,y and z are length elements.For a unit cube,…
Q: Show that the function x(t) = A cos ω1t oscillates with a frequency ν = ω1/2π. What is the frequency…
A:
Q: Question 2 a) A laminar boundary layer profile may be assumed to be approximately of the form u/Ue=…
A: The displacement thickness δ* is defined as the distance by which the boundary would have to be…
Q: A sphere moves in simple harmonic motion with a frequency of 1.20 Hz and an amplitude of 5.20 cm.…
A:
Q: pada дер pad 4+ 9+!!!! -+5 1901 'un|npuǝd jeo!sAud s!47 jo potuad ay7 lof uo!ssəldxǝ әу? әлџәд
A:
Q: A uniform rod of length 2.0 m, and 3.2 kg is suspended from a pivot a distance 0.2 m above its…
A:
Q: A magnesium atom (mass ≈≈ 24 proton masses) in a crystal is measured to oscillate with a frequency…
A: mass, m=24 proton masses mass of 1 proton=1.67×10-27 kgthusm=24×1.67×10-27 kg =4.008×10-26…
Q: A meter stick of total length l is pivoted a distance d from one end on a friction-less bearing. The…
A: Given, A meter stick of total length l is pivoted a distance d from one end on a friction-less…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- The chemical bond between the two atoms in a diatomic oxygen molecule acts very much like a spring, such that each oxygen atom behaves like a simple harmonic oscillator. If we observe the oxygen atoms vibrating at a frequency of 3.0 x 10^13 Hz, what is the spring constant of the O—O bond? The mass of an oxygen atom is 2.66 x^-26 kg.Plz solve all partsA small piece of rounded stone perforated for threading is sliding on a wire which is hanging freely in the shape of a cosh function. Assume the stone moves with no friction. For very small displacements in x, what is the frequency of oscillation? You may use for the height of the wire and thus the height of the stone as a function of x the Taylor series expansion of cosh. G(x) =1 + x2/2 + x4/24 + ...
- Suppose that you have a potential V (x) x2 + 6x – 8. Using a Taylor Series around Xo = 3, approximate the potential as a harmonic oscillator. O + (= – 3)? 7-2 (포-3)2 | (x – 3)? ||A disk of radius 0.25 meters is attached at its edge to a light (massless) wire of length 0.50 meters to form a physical pendulum. Assuming small amplitude motion, calculate its period of oscillation. For a disk, I = (1/2)MR2 about its center of mass.A 9-lb. weight suspended from a spring having spring constant k = 32 lb/ft, is pushed upwards with an initial velocity vo. The amplitude of the resulting vibrations is observed to be 4 inches. (a) What is the initial velocity? (b) What is the period of the vibration?
- (a) An oscillating object repeats its motion every 3.3 seconds. (i) What is the period of this oscillation? (ii) What is its frequency? (iii) What is its phase rate (i.e. angular frequency)? (b) A magnesium atom (mass of 24 proton masses) in a crystal is measured to oscillate with a frequency of roughly 10l3 Hz. What is the effective spring constant of the forces holding that atom in the crystal? (c) Sitting on a trampoline, a person with mass m sinks a distance Az below the trampoline's normal level surface. (i) If the person gently bounces on the trampoline (without leaving its surface), what would be the person's period of oscillation T? (You should not need the person's mass, but if you think you do, assume and state a value.) (ii) Find T for Az = 45 cm. Check: For Az = 20 cm you should find T = 0.90 s.We can model a molecular bond as a spring between two atoms that vibrate with simple harmonic motion.The figure below shows an simple harmonic motion approximation for the potential energy of an HCl molecule.This is a good approximation when E < 4 ×10^−19. Since mH << mCl, we assume that the hydrogen atomoscillates back and forth while the chlorine atom remains at rest. Estimate the oscillation frequency of theHCl molecule using information in the figure below.