Consider a cube with one corner at origin and the other corner along the body diagonal at (1,1,1). Tra the cube along the body diagonal so that the new position of the corner (0,0,0) is at (1,1,1) Q. Is the surface area scalar or vector, prove Q. Compute the total surface area of this translated cube Q. Should not the total surface area be zero, Comment with justification.

Consider a cube with one corner at origin and the other corner along the body diagonal at (1,1,1). Tra the cube along the body diagonal so that the new position of the corner (0,0,0) is at (1,1,1) Q. Is the surface area scalar or vector, prove Q. Compute the total surface area of this translated cube Q. Should not the total surface area be zero, Comment with justification.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.11P

See similar textbooks

Physics written by hand.

Consider a cube with one corner at origin and the other corner along the body diagonal at (1,1,1). Translate
the cube along the body diagonal so that the new position of the corner (0,0,0) is at (1,1,1)
Q. Is the surface area scalar or vector, prove
Q. Compute the total surface area of this translated cube
Q. Should not the total surface area be zero, Comment with justification.

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 with 2 images

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

Answer with complete solution, and write the given vectors in terms of its components and the corresponding unit vector and then verify the initial result by adding these vectors algebraically
Let vectors A=(2,1,−4), B=(−3,0,1), and C=(−1,−1,2).Calculate the following: What is the angle θAB between A and B?
Find the Miller Indices of a plane whose intercepts are (2,1,3).
Express the position vector rAB in Cartesianvector form, then determine its magnitude and coordinatedirection angles.
For any arbitrary vectors u, v and w, prove that
In Poincare transformation if scalar field is invariant under translation, then prove that generator of translation is momentum 4 vector.
Prove the property of the cross product u × v = 0 if and only if u and v are scalar multiples of each other.
What surface is represented by r a = const, that is described if a is a vector of constant magnitude and direction from the origin and r is the position vector to the point P(x1, x2, x3) on the surface?
Show that (BC)A is the volume of the parallelepiped, with edges formed by the three vectors in the following figure.
Go back to question 6 but this time assume uk=0.2. a) How much time elapses before the block reaches its maximum height up the plane? b) How much time elapses from the point it reaches maximum height up the plaane to the point where it was launched?
For any vectors A and B, prove that ∇·(A×B) = B·(∇×A) − A·(∇×B)