Consider the case of a particle with mass m that is limited to travel on the surface of a sphere of radius R. There are no external forces acting on the particle in any way. How many generalised coordinates does this system need to be described? Construct a Lagrangian for this system and find Lagrange's equations of motion for it.
Q: Illustrate how scalar and vector potentials are not unique (an infinite number of potentials can yie...
A:
Q: A student applied a force of 329 N towards 334° to a shopping cart whilst the cart moved 5m towards ...
A: Given, Force, F=329N ∆x=5m θF=334°θ∆x=8° θ=θF-θ∆xθ=334°-8°θ=326°
Q: A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative...
A: Mean radius of a Rowland ring, r=15 cm=0.15 mNumber of turns on a ferromagnetic core, N=3500Relative...
Q: Assume that you do not know about the kinetic energy or Newton’s Laws of motion. Suppose instead of ...
A: Given data, a particle is moving in free space.
Q: ASSESSMENT TIME! Deriction: Solve the following problems using Polya's four-step problem-solving s...
A: 1. Understand the problem: A baseball team won two out of their last four games. We have to find how...
Q: A (50kg) person runs up a (10m) stairway in (15s).what is the hors« power rating of the person?
A: Given: Weight of the person = 50 kg who runs up 10 m stairway in 15m formula used: Change in potent...
Q: 7:58 Done 3.us-west-1.amazonaws.com AA C A Return to Platform True or False? This is a tour ready en...
A: This is not a tour ready engineering self. It is because tour ready engineering shelf does not have ...
Q: A pulley system as shown in Figure 1 is used to hoist block B. If the end of the cable at A is pulle...
A: The velocity of rope at A is 3 m/s. When the rope at A is pulled down by x distance, the distance mo...
Q: A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s about an axis normal to ...
A: Given-Length of the rod, l= 1 mAngular frequency, ω=400 rad/sMagnetic field strength, B=0.5 T
Q: For Ge semiconductor, assume the Fermi energy level is 0.1 ev below the conduction band energy Ec. L...
A: mass of electron, me=9.1×10-31 KgThe density or the number of quantum states available between the r...
Q: What are the different flow pattern of solids are seen when solids flow o
A: The different flow patterns seen when solids flow out of a bin can be categorized as 1) Funnel Flow:...
Q: An open u-tube having a diameter of 10 mm contains mercury at a depth of 120 mm. Specific gravity of...
A: The pressure exerts by an object at the time of immersion in a fluid such as water, oil, which behav...
Q: The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C fa...
A:
Q: A newly discovered orange dwarf star has a surface temperature of approximately 5185 K. How far woul...
A: If we know the star's luminosity L, then the habitable zone distances range from 0.95LL0 to 1.37LL0...
Q: A closely wound solenoid of 2000 turns and area of cross-section 1.6 x 10-4 m2, carrying a current o...
A: Given-Number of turns on the solenoid, n=2000Area of cross-section of the solenoid, A=1.6×10-4 m2Cur...
Q: Show that a* l«) (2\ = la) (xl, and la) («la = :) la) (al.
A:
Q: In an oscillating LC circuit in which C = 3.5 µF, the maximum potential difference across the capaci...
A: The easiest way to do this type of problem is to equate both the energy stored in the capacitor as w...
Q: 5 mole of methane gas inside balloon, gain heat by 1850 j , his temp increased 40 degrees in ( press...
A: Given that,Number of moles of methane gas : n = 5 molesHeat at constant pressure : QP = 1850 (J)The ...
Q: What would be the difference in temperature of water above and below a waterfal! 200 meters high if ...
A: Height of waterfall (h) = 20000 cm. P.E. of a mass m of water at this height is given by mgh ergs. T...
Q: Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /Cvacuum permitiv...
A: Magnetic field is normal to the direction of motion of the charged particle. Path of the particle in...
Q: 5.4 In a negatively curved universe containing only matter (2, < 1, K = -1), show that the present a...
A: Given, the universe contains only matter and Ωo<1 So scale factor will be a=12ΩoΩo-1coshθ-1 putti...
Q: 26. Use the Fourier transform method to show that the solution of the one-dimensional Schrödinger eq...
A: Given 1-D Schrodinger equation We have to find the greens function of Schrödinger equation by Fourie...
Q: A ring of mass m is attached to the spring and slides over the rod. Unextended length of the spring ...
A: Given k = 18 N/m lo = 200 mm m= 3.5 kg a = 200 mm b = 220 mm μk = 0.04
Q: Light in water is incident on the water-air interface (nwater = 1.33; nair = 1). Which of the below ...
A: Critical angle is that angle of incidence for which angle of refraction is 90°. Any incident angle b...
Q: A motor cycle is moving up a 5 degree incline with the center of wheel D (radius = 0.25 m) having a ...
A: Given: r=0.25m, a=28m/s2, θ=5° 1. The net acceleration of the motorcycle moving up the incline is : ...
Q: 5.5 One speculation in cosmology is that the dark energy may take the form of "phantom energy" with ...
A: Phantom energy equation of state is, P=ωpρc2 ...........(1) Here, c is the speed of light...
Q: A rope is lengthened 4 inches by a weight of 2 pounds. The weight begins its motion from equilibrium...
A: Consider the given data: Displacement, x=4 inch=412 ft Weight, W=2 lb Velocity, v=12 fts Acceleratio...
Q: The diagram shows a beam of light traveling from water, through oil, to air. Suppose that the angle ...
A:
Q: Consider a stoichiometric mixture of H2 and O2 at standard condition (298.15 K and 1.05 x 105 Pa,) a...
A:
Q: Ex+ For thecir.cuit:- - t/4 Yo ca) If ()= 10e Lind w 8 Wg &n ult) 1F noter Ans- wi 7=57.14 % b) Sind...
A: Given VI t = 10 e-t4 u t VFind, Wi , Wo and η, as following below.
Q: How does the uranium used in a CANDU reactor exist in nature?What process are used to prepare the ur...
A: Uranium is a silvery-white metallic chemical element with atomic number 92 in the periodic table. Th...
Q: The amount of energy needed to increase the radius of orbit of a 500-kg satellite from its original ...
A: Consider the given data as below. The mass of the satellite, m=500 kg Initial radius of the satellit...
Q: Q1) Sketch ig and v, for the network of Fig.1 for the input shown. 10 k2 + 10 V Si Si + 5.3 V= 7.3 V...
A:
Q: Two forces of magnitude TA= 7803 lb and TB= 14237 lb are applied as shown to a welded connection. Kn...
A: Given, TA= 7803 lbTB= 14237 lbθ= 48°
Q: receives from the Sun by 8.7 ×10-10 LO. Jupiter's radius is 7.1 ×109 cm and its mass is 1.9 ×10 ompu...
A: Given Data: Energy radiated by Jupiter is L=8.7×10-10Lo=8.7×10-10×3.91×1026W/s. The radius of Jup...
Q: A 4.5 cm needle is placed 12 cm away from a convex mirror of focal length 15 cm. Give the location o...
A: Height of the needle, h1=4.5 cmObject distance, u=-12 cmFocal length of the convex mirror, f=15 cmIm...
Q: Testing the concepts of calculus a) Apply 3 steps of the gradient descent algorithm to the following...
A:
Q: that average number and the Variance number (An) are equals for Coherent state.
A: A coherent state is the particular quantum state of the quantum harmonic oscillator, frequently defi...
Q: dz wire wire 2 dz * Pi K-- l, - K.- l- A current carrying wire(wire-1) with i1 = 13 Amperes is place...
A: Given Current i1 = 13 A Current i2 = 12 A Distance (l) = 8 m Distance (l1) = 6 m Point P1 = (0,6,-6)...
Q: Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C¥acuum permitiv...
A: Given, B1=5.8 TB2=8.3 Tq=9.7 μCm=0.037v=41 m/s
Q: (a) If a flea can jump straight up to a height of 0.440 m, what is its initial speed as it leaves th...
A: Given that, Maximum height, hmax=0.440 mBy using kinematics equationv2=u2+2ghmax Equation 1w...
Q: Estimate how many molecules of air are in each 2.0L breath that you inhale that were in the last bre...
A: Given data, Volume of air inhaled = 2 L Volume of lungs = 2 L Diameter of the spherical shell = 10 k...
Q: A 44 mH inductor is connected to 220 V, 50 Hz ac supply. Determine the rms value of he current in th...
A: Given-Inductance of inductor, L=44 mHL=44×10-3 HSupply voltage, V=220 VFrequency, n=50 Hz
Q: A box of mass 20.0 [kg] slides down from the top of a surface inclined at 50.0° with height of 10.0 ...
A: mass of box is m = 20.0 kgheight h = 10.0 mangle of inclination is θ = 50.0oThe coefficient of kinet...
Q: 6) A 65-kg football player running to the right at 8 m/s is tackled by an 86-kg player on the opposi...
A: Let consider,Sign Convention:-Take right as positiveand left as Negative.Given that,Mass, m1=65 kgVe...
Q: E;(x, y) = (ë + Aë, + 3ẽ,)ej4nv3xej4ny a) Draw the unit vector in the direction of the propagation d...
A: 1st medium parameters:ε1=4ε0 , μ1=μ0 y>02nd medium parameters :ε2=9ε0, μ2=μ0 y<0The electri...
Q: Sound travels at VELOCITY of 345 m/s in air. A violin plays a note at FREQUENCY 412 (1/s). What is t...
A:
Q: The work done to compress one mole of monatomic ideal gas is 6200 J. The temperature of the gas chan...
A: Given that,The work done : W = -6200 (J)The initial temperature : T1 = 350 (K)The final temperature ...
Q: 3. Situation: For each of the individual waveforms a crest (maximum displacement) is reached every 3...
A: 3) The distance between consecutive crests is given as 3m. 1) Below is the position vs displacement ...
Q: Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². Vacuum permi...
A: Solution attached in the photo
Consider the case of a particle with mass m that is limited to travel on the surface of a sphere of radius R. There are no external forces acting on the particle in any way. How many generalised coordinates does this system need to be described? Construct a Lagrangian for this system and find Lagrange's equations of motion for it.
Step by step
Solved in 4 steps with 3 images
