:Answer the following with short notes. 3. Ifa body was moved on a horizontal surface. What is the meaning of both equations? c- F.ds = 0 d- $ F.ds # 0 %3D 4. What is the key different between Lagrange's and Hamilton's principles?

:Answer the following with short notes. 3. Ifa body was moved on a horizontal surface. What is the meaning of both equations? c- F.ds = 0 d- $ F.ds # 0 %3D 4. What is the key different between Lagrange's and Hamilton's principles?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Problem 2 Consider the elastic pendulum shown in the figure below. The pendulum con- sists of a bob…

A: Given:- (1) An elastic pendulum is also called swinging pendulum. When a…

Q: mail.google.co x E Lehman Collec X The Division of X Lehman Colleg x Lehman ColleC X Office of the R…

Q: Determine the vorticity of the 2D flow field described by: V = (4xy + x² )i + (- 2xy-2y²) ₁ is the…

Q: di 8 d2 g →F The above figure (not drawn to scale) shows a rod made up of two cylindrical sections…

Q: 1.a Derive the formulae for the geometric constraints using the horizontal and vertical coordinates…

A: 1.a The geometric constraints of the system is given by the equationx1^2 + y1^2 = R^2x2^2 + y2^2 =…

Q: A uniform beam of length 1.0 m and mass 30 kg is attached to a wall by a cable as shown in (Figure…

Q: For the vector J = zp³ ap + coso a + 5pz³ a, and the figure below calculate the following. a)…

Q: Q3. Answer the following by (sketch only): 1. Stress - strain behavior of metal and ceramic. 2. Poly…

Q: If bar AB has an angular velocity wAB = 6 rad/s, determine the velocity of the slider block Cat the…

A: Here we will use sine law. And some basic formula

Q: Ex. 22 A wire is stretched so that its length increases by 2.0%. If its diameter decreases by 2%.…

A: To find-Poisson's ratio=?Given-increase in length=2%Diameter decrease by 2%

Q: QUESTION 7 Q4 (d.)What is the major differences between the stacking and separating gels? For the…

Q: 3. Ifa body was moved on a horizontal surface. What is the meaning of both equations? c- F.ds 0 d-…

Q: If an object has a mass of 22kg at sea level, (a) what will be its weight at a point where the…

A: Given data: Mass (m) = 22 kg Acceleration due to gravity (g) = 9.75 m/s2

Q: 2. The dot product is commutative. What does that mean?

A: since you have asked multiple questions we will solve first question for you. please post remaining…

Q: 1.) The three vertices of a regular tetrahedron are located at 0(0,0,0), '2' ABC; (b) Find the area…

Q: Show that the direct product (or a direct product contracted) of any two isotropic tensors is an…

Q: 4. For a hexagonal crystal, cite all directions that are equivalent to [1010] direction.

A: For hexagonal crystal structure there are six equivalent planes. A hexagonal unit cell therefore has…

Q: Rotation of Fluid Elements 4.86 PQ What is meant by rotation of a fluid element? Use a sketch to…

A: What is meant by roation of a fluid element. Use a sketch.

Q: Some reasoning would lead to the conclusion that C must be located to the left of A so that the…

A: QA = +18×10-9 CQB = -27×10-9 CdAB = 0.6dAC = xdBC = x+0.6

Q: In the structure shown, an 9-mm-diameter pin is used at 4, and 12-mm-diameter pins are used at B and…

A: Given that:

Q: mail.google.cox Lehman Collec X 16 The Division o X Lehman Collec X Lehman Collee x Office of the R…

Q: center of pressure (COP)?

A: CoP path length is generally smaller when vision is removed (e.g., with eyes closed). This is…

Q: Example 5.4 Find the energy levels of a spin s = particle whose Hamiltonian is given by A = 2 (8²…

A: Here given: H^= α2(Sx2+Sy2-2Sz2)-βℏSz Here we have to find the levels of degeneration.

Q: For both forces and for both angles, the uncertainty is ɛp = 5 N and ɛe 0.5°. Find the corresponding…

A: The uncertainty in force and angle is given as: F'=F±εf θ'=θ±εθ To calculate the uncertainty, we…

Q: A brick is placed on an inclined plane, which is tilted at an angle to the horizontal until the…

A: In the following problem, we have a brick which is placed on an inclined plane then, tilt the plane…

Q: .1 Is paper/tissue attracted to a comb? 3.2 What reactions/behaviors will the balloon make if it is…

A: These all questions are related to Electrostatics. Electrostatic: Electrostatic is a branch of…

Q: 1. Refer to FIGURE 1, state your assumption and show your calculation clearly. Show your FBD a.…

Q: 1. Give some practical examples of Scalar product and Vector product.

A: "SInce, you have asked multiple question, we will solve the first question for you. If you want any…

Q: Bertrand's theorem and orbits Prove Bertrand's theorem for closed orbits in detail. 1. Show that for…

A: INTRODUCTION:- CLOSED ORBIT THEOREM:- Bertrand’s theorem states that the linear oscillator and the…

A: a) The free body diagram of the above structure has been shown below

Q: Consider a lattice with primitive vectors a,, az, az. a- Calculate the Miller indices of the plane…

A: In a crystal, we should have a regular orientation of the atoms in space. A uniform unit structures…

Q: Calculate the fill factor for a stacked hexagon (hcp)

A: In this question we have to calculate the fill factor for a stacked hexagon.

Q: A neutron beam of initial kinetic energy Eo is divided into two beams at point O by some mechanism.…

Q: The velocity field of a flow is given by; V=4xyi_+ 3yj + 2k a) Obtain the local acceleration vector.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: THE USE OF ARTIFICIAL INTELLIGENCE IS PROHIBITED!!!! SOLVE BY HAND

Q: 2. Diffusion coefficients of spheres (intrinsic viscosity model) can be determined via the…

A: The stokes Einstein relationship is given by D=kBT6πrη where kB is the Boltzmann constant, r is the…

Q: 5. The surface integral for a vector field contains the term F. (ru x Tv) for a vector field F and…

A: Required to give the geometric interpretation of the triple product.

Q: ************** ******* ********************* ******************************* Q5. The following…

A: Given Data:- & & & By the strain gage rosette relation Substituting value…

Q: Determine whether the following series converges. Justify your answer. 00 16k 2 1+ , a is real k=1…

Q: You and your friend Peter are putting new shingles on a roof pitched at 24°. You're sitting on the…

A: μk (the coefficient of kinetic friction) = 0.55m = 2.4 kgg= 9.8 m/s²)d(Displacement along the roof…

Q: Given: I showed in the course notes that the most general fourth order viscosity tensor for an…

A: Navier-Stokes equation is an equation that gives information about the flow of viscous fluids. The…

Q: An Aluminum crystal is bent into a radius of curvature of 5 cm. Calculate the minimum dislocation…

Q: It was shown in Example 21.11 (Section 21.5) in the textbook that the electric field due to an…

A: Given,

Q: Q1: Answer the following with short notes. 3. Ifa body was moved on a horizontal surface. What is…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Choose the correct letter We can apply the laws of conservation of linear momentum and angular…

A: For the conservation of momentum, body must be rigid the reason behind this, Internal Force do not…

Q: Fluid dynamics An incompressible stationary non-viscous fluid has a speed field: u = fx, v= fy, w =…

A: Euler's equation of motion or momentum equation for an inviscid stationary fluid flow is written as…

Concept explainers

Wave Motion

A wave motion is defined as the propagation of disturbances or transfer of energy and momentum from the state of rest or equilibrium to another point in a medium without any actual transfer of matter between them. In a simple explanation, it is the propagation of energy through a medium that is produced due to the repeated vibrations of the particles. Common things we see day to day like waves on water oscillation of a pendulum or bell, light wave, and all the subatomic particles exhibiting wavelike properties. The propagation of waves depends on the medium and their properties. The wave function is the disturbance that produces waves as a function of time. This disturbance oscillates periodically with a fixed frequency and wavelength. There are linear wave motion and non-linear wave motion based on their propagation, motion, and time period where linear wave motion is like sinusoidal waves and non-linear wave motion like a wave motion that gets interrupted in the middle of their propagation.

Question

Q1: Answer the following with short notes.
3. Ifa body was moved on a horizontal surface. What is the meaning of both equations?
c- $F. ds = 0
d- F.ds # 0
4. What is the key different between Lagrange's and Hamilton's principles?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

a. Draw a diagram showing the moment arm and the force b. What is the value of the moment arm? write the formula and solution below. c. What is the torque at the shown point of contact of the ship with the seabed? write your folmula and solution. d. What is the direction of the torque? e. what is the sign of the direction of the torque?
The figure below shows a bracket subjected to a force of P = 189 N. Determine the magnitude of the moment of P in the x-axis, y-axis and the z-axis in Nm.
n = 7,000 hydrogen molecules/cm3 How can you convert the density from H/cm3 to kg/cm3?
Constants | Periodic Table If you dive to a depth of 10 m below the surface of a lake, what is the pressure due to the water alone? Express your answer using two significant figures. ΑΣφ. Pw = Pa Submit Request Answer Part B What is the absolute pressure at that depth? Express your answer using two significant figures. ΑΣ φ. p= Pa
A bead of mass m slides down under the influence of the gravitational force along the linear, rigid and frictionless wire in the figure. The equation for the wire is defined as y = kx, with k being a constant. a) Write the Lagrange of the bead. b) Calculate the acceleration of the bead in the x and y directions. c) Test the accuracy of your results. (Guidance: use the Lagrange unknown multipliers method) y y=-kx
3
I Review Constants Periodic Table (Figure 1) In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall.. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. Part A What is the minimum rotational frequency, in rpm, for which the ride is safe? Express your answer in revolutions per minute. Figure 1 of 1 • View Available Hint(s) f = rpm Submit
3. A water tank filled to height h, has small hole at height z. Show that the stream of water emerging from this hole strikes the ground at the horizontal distance d = 2√z(h-2) from the base of the tank. What choice of z gives the largest horizontal distance? What is the largest horizontal distance? N ←
Find the differential of the function y=x2 +2x?
1. Give some practical examples of Scalar product and Vector product.2. Bring out the importance of Curl of a vector with an application.3. Give a reason why the dot product of two vectors is known as the Scalar product?4. Briefly discuss about different types of coordinate systems with respect to(i) Representation(ii) Range(iii) Transformation applicable5. Explain the physical significance of the Gradient and Divergence of a vector?
In a Millikan experiment, the two forces are assumed to be equal. a. What are these two forces? b. Draw a diagram of forces as these two forces are acting on a drop of oil in equilibrium. c. Briefly explain the principle of this experiment.
A very small circular cylinder of radius Ri is rotating at angular velocity ?i inside a much larger concentric cylinder of radius Ro that is rotating at angular velocity ?o. A liquid of density ? and viscosity ? is confined between the two cylinders. Gravitational and end effects can be neglected (the flow is two-dimensional into the page). If ?i = ?o and a long time has passed, generate an expression for the tangential velocity profile, u? as a function of (at most) r, ? ,Ri, Ro, ?,and ?, where ? = ?i = ?o. Also, calculate the torque exerted by the fluid on the inner cylinder and on the outer cylinder.