QUESTION 1 The unit of the Lagrangian, L, is Joules (J). O True O False

Q: Let us consider a spring with a constant of recovery k = 500 N / m, which holds a body of mass m = 5…

A: Given data: The spring constant is k=500 N/m. The hanging mass is m=5 kg. The initial displacement…

Q: xplain me each and every step especially integration portio

A: Given: I solved for how to get W=FoXoπsinφ

Q: Shortest Line in 3D Prove that the shortest path between two points in 5. three dimensions is a…

A: The distance between the two points in the three dimensions can be given as follow:

Q: A ball of mass m, slides over a ếy sliding inclined plane of mass M and angle a. Denote by X, the…

A: The expression for the degree of freedom is given as, F=3N-K Here, N is the number of particles,…

Q: 6. Let W and W, denote two independent Brownian motions, derive the SDE for the stochastic variable…

A: Wt,Wt~ are two independent brownian motionsYt=WtWt~

Q: Determine the Miller indices below Plane B y=2

A: From the diagram- Plane B cuts the X-Axis at x = 1 Plane B cuts the Y-axis at y = 2 Plane B is…

Q: While investigating the angle dependence of V you found the following graph. Which is the suitable…

A: Required : Relationship between V and theta.

Q: What does the curvature of a vector function at time t represent? How does curvature relate to the…

A: Curvature is defined as derivative of unit tangent function.  Unit tangent vector is a tangent…

Q: Let S be the ellipsoid ()´ + (%)´ + () with upward-pointing normal. = 1. Calculate the flux of F =…

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Q: Define and explain the symmetric and anti symmetric tensor?

A: A symmetric tensor is a tensor that is invariant under a permutation of its vector arguments, such…

Q: Find the equations of motion for the Lagrangian L = eγt(mq˙2/2 − kq2/2) How would you describe the…

A:

Q: Define ond nlustrate general collis fons of two objects two- dimensional space. Please define the…

A: According to momentum conservation: Particles momentum before collision must be same as particle's…

Q: Q311 Find the eigenvalues and the eigenvectors of the 1. matrix A= 3.

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Q: (2. V3)? 14) 6) What is the resulting transformation matrix of the following consecutive…

A: Resultant transformation matrix: T.M=R2 T2 R1 T1 T.M=cosθ2-sinθ20sinθ2cosθ20001 10tx201ty2001…

Q: You live on a tiny far-flung satellite called Luna Staten. Luna Staten has a mass of m (not the same…

A:

Q: Consider the function v(t) = 6 – t². (a) Write out the four terms of the right Riemann sum for v…

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Q: Q1- The divergence of the function f= (r cos 8)e, in spherical coordinates is. .

A:

Q: Q1- The divergence of the function f (r cos 8)e, in spherical coordinates is.. .

A: Solution

Q: Consider the motion of a particle of mass say m. Using Cartesian coordinates as generalized…

A: This is a classical mechanics problem. Here we deduce the Lagrange's equation of motion from the…

Q: Determine the local optima of the following fooet funetions using bother the First derivative test…

A: Given data, fx=13x3-4x

Q: Determine the period of oscillation when a particle of mass m moves in a field with the potential…

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Q: Why is dv/dt=dv/dx.v ? I just want to see the steps, explained carefully.

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Q: I am confused with part (e).  I don't understand the steps. How is 1.427 obtained?   How is the 20t…

A:

Q: What would the answer be for part B?

A: in this question we discuss what will happen when plate slip and change on center of gravity of…

Q: Pls help on this question.

A: Here given that the 500 particles approximate displacement.It is measured within 30 sec. We have to…

Q: 5. For the following diagram derive the Boolean algebra and complete the truth table. X no C

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Q: 1. Consider the system with T = ²m(r² +r²ġ² + ż²) and U = mgz where z = cr²,0 = wt, by using the…

A: GIVEN: T=12m(r2˙+r2θ˙2+z˙2)U =mgzz=cr2, θ =ωt

Q: How fast would a 6.5 m-long sports car have to be going past you in order for it to appear only 5.3…

A: The speed of car will be 0.6c  .

Q: 1. Consider the matrix operator A = 2. 1. 4 2. a. Show that 3 is one of its eigenvalues, b. Find the…

A: Given: A=-2-42-212425

Q: e field of view is flat, what is the resultant vector (yellow line) of an observer pointing his…

A:

Q: outside surlace of the sphere. The point B on the sphere is at a height above O. After time 1, agle…

A: Given, Mass of sphere, m Radius of sphere, r Height of point B from O, 3r2 Height of point C from O,…

Q: Mixed Triple products

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Q: Car A is traveling at the constant speed of 64 km/h as it rounds the circular curve of 285-m radius…

A: Given,speed of the car A, v = 64 km/hradius of the circular curve, R = 285 mθ = 45°car B is…

Q: Give at least three (3) real life situation that demonstrate Lenz's law. Explain.

A: Lenz's law is based on Faraday's law of induction, which states that a changing magnetic field will…

Q: what is the equation for the density p(x,y,z) if the density at any point in G is equal to the…

A:

Q: 1) Give the Lagrange function and the Lagrangian equation(s) of motion of the second kind for the…

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Q: Question 3 |A bead of mass m slides on a massive frictionless hoop of radius a. The hoop is rotating…

A: Given data: The radius of hoop is a. Mass of bead is m. Angular velocity is ω.

Q: Consider a particle of mass m acted upon by a central potential (r is distance and a>0 is a…

A:

Q: Without finding T and N, write the

A: position vector r is given. want to calculate acceleration. acceleration =ddt(drdt)

Q: Which of the following diagrams describes the worldline of a particle at rest relative to some…

A: We have a particle which is at rest relative to a rocket frame which itself is moving with a speed β…

Q: Because every joint has more than two unknowns, we will begin by solving for the external reactions.…

A:

Q: Yoyo The figure below shows a crude model of a yoyo. A massless string 4. suspended vertically from…

A: The total kinetic energy of the body is

Q: Simplifying Expressions using Boolean Laws 3. AB+ AC + ABC (AB+C) = AB + AC + ABCAB + ABCC

A: The algebra used for machines is Boolean algebra. Only 2 values are dealt with. They are 0 and 1. 0…

Schrödinger equation

Schrödinger equation is a prominent equation in quantum mechanics. This equation is used to predict the behavior of quantum states or quantum particles. In quantum mechanics, the particles are treated as waves. A quantity called wave function is used to represent a quantum state. The wave function completely describes the quantum system. This equation can be used to study the particles like electrons, protons and, neutrons. It is also used to study the structure of hydrogen atoms and harmonic oscillators.