Describe a real-world example of a closed system.

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: Which point/s is/are the state of the system?

A: In thermodynamics , the state of system is represented by specifying its pressure , volume and…

Q: Discuss what is required to be true for the molar-averaged and mass-averaged velocities to be…

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Q: C and D?

A: (c) Since the student and the wheel are the closed system (friction is assumed to be negligible) and…

Q: Derive the Equipartition Theorem.

A: The equipartition theorem states that energy is shared equally amongst all degrees of freedom of a…

Q: Is continuous-at Xea3? X+3 X=-3

A: Here a function f(x) is given and it's condition also given. We have to find out whether this…

Q: In this problem we will deal with simple thermodynamics model of a black hole. Assume that the…

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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: Existence and Uniqueness Theorem. A motorboat of total mass m = 200kg is facing the shoreline and…

A: Given: Given:  Mass of motorboat = 200 kg Initially boat is drifting away from shore at 0.5 m/s…

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: In UARM and free fall Y is positive (+) if measured above the starting point. It is negative (-) if…

A: To state : Y is positive if It is measured above the starting point and negative if it is measured…

Q: A particle is suspended from a point A by an inextensible string of length L. It is projected from B…

A: (a) Using Newton's law, W+T=ma

Q: what is redundant manipulator, and where can it can be use? give some examples

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Q: equation

A: The kinematic is the branch of mechanics that deals with the motion of the object that can be…

Q: Find the Angular velocity and period of oscillations of a solid sphere of mass m and radius R about…

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Q: time taken by the block to slide down

A: Given; Determine the time taken if the elevator is accelerated at 'a' ms-2 ?Where, Block A is able…

Q: How you will arrive at absolute zero using Charles's law?

A: Charles law is an important law in thermodynamics; it states that the volume of a given mass of gas…

Q: It defines the extent of the system O System O Model O Particle O System Boundart

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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: 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: A system of N particles with K number of holonomic constraints, the degree of freedom? O N-K O 3N -…

A: Constraints on the position of a system of particles are called holonomic constraints. For example,…

Q: Find the mass and center of mass of the rectangular lamina over D = [0,2]x [-1,1] with density…

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Q: Differentiate Lagrangian Mechanics from Newtonian Mechanics. State the advantages/disavantages of…

A: In Newtonian mechanics,The position and momentum of a particle at one time ,then the trajectory of…

Q: What must be the minimum speed of the particle of the origin to escape to infinity? Use conservation…

A: In celestial mechanics, escape velocity or escape speed is the minimum speed needed for a free,…

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

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Q: What is the speed of a supersonic plane like the Concorde that could fly at Mach 2 with an average…

A: given Mach no is  2 temperature T = -10o C T = 273 - 10 = 263 K speed of sound at temperature T is…

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

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Q: Make g the subject in Ep=mxgxh

A: Given equation : Ep = m × g × h to make g as subject:

Q: Find Xb b/2 ト ノナ

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Q: What is hamiltonian equation

A: Given data: Hamiltonian equation.

Q: Rank the magnitude of ∫B⋅ds for the closed paths in the figure below, from least to greatest.

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Q: Show the derivation of the 4th free-fall equation.

A: To determine of the 4th free-fall equation

Q: Sketch or computer plot a graph of the function y = e−x2.

A: The given function; y=e-x2

Q: Describe the similarities and differences between the three equivalent ways of representing a system…

A: Three equivalent ways of representing a system in classical mechanics are – Newtonian mechanics,…

Q: What is Hamiltonian cycle?

A: What is hamiltonian cycle.

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: Define the Coplanar Loadings?

A: Coplanar loadings

Q: Can both members of a third-law force pair appear on the same free-body diagram? Explain why or why…

A: Force is a vector quantity that is defined as the rate of change of an object's momentum. The force…

Q: Is the system indeterminate / determinate / stable / unstable?

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Q: 7: Suppose 225 kg motorcycle 1s neading toward a hill at a speed of 28 m/s. The tWO wheels weigh 12…

A: As the external force acting on the system is zero, therefore, the energy of the system is…

Q: . A particle is projected from a point O on horizontal plane with speed u at an angle a to the…

A: From our figure we get:ux = u cosα , uy = u sinαax = 0  ,  ay =…

Q: Can a particle moving under an inverse square repulsive force trace a closed orbit? Explain in…

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

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Q: Consider a cylindrical container of height "h" containing liquid of density ρ full to the brim. Now,…

A: Consider the following figure which represents all the required variables. Here, R is the range of…

Q: What do you know about the difference between Newtonian, Lagrangian and Hamiltonian in describing…

A: In Newtonian mechanics particles/object equation of motion described via forces and constraints.

Q: 5.35 PQ What are the shortcomings of describing a flow field using the Lagrangian description?

A: The distribution of the density and velocity of a fluid over space and time are called flow field.…

Q: In UARM and free fall g is always negative (-) * O True False

A: solution as

Helmholtz Free Energy

The Helmholtz free energy is a thermodynamic potential used to calculate the measure of useful work from a closed system. This system is kept at constant temperature and volume. German physicist Hermann Helmholtz introduced this concept in 1882.