Question: An incremental rotation about the z-axis can be approximated by the matrix 1 -0 0 0 0 1 0 0 0 1 0 0

An incremental rotation about the z-axis can be approximated by the matrix

An incremental rotation about the z-axis can be approximated by the matrix 1 -0 0 0 0 1 0 0 0 1 0 0 0 0 1 What negative aspects are there if we use this matrix for a large number of steps? Can you suggest a remedy? Hint: Consider points a distance of 1 from the origin.

Step by Step Solution

★★★★★

3.38 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

V Negative aspects are there if we use this matrix for ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

An insurance company writes policies for a large number of newly-licensed drivers each year. Suppose 40% of these are low-risk drivers, 40% are moderate risk, and 20% are high risk. The company has...

An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.50 Hz (typical of earthquakes, which actually include a mixture of frequencies),...

A portion of an airplane fuselage can be approximated by the cross section shown. If the thickness of its 2014-T6-aluminum skin is 10 mm, determine the maximum wing torque T that can be applied if...

The motor of Sample Problem 7/2 is shown again here. If the motor pivots about the x-axis at the constant rate = 3 rad/sec with no rotation about the Z-axis (N = 0), determine the angular...

THE ETHICAL DIMENSION Could Morales-Cruzs dean have had legitimate reasons for changing his mind about the one-year extension? If so, what might they have been? THE LEGAL ENVIRONMENT DIMENSION What...

Complete the analysis started in Example 1 by providing the details of the linearization about the point (-1, 0) for x' = y, y' = - y + x - x3.

For $ 1 million, Dempsey Inc. purchased stock in a corporation that held only one asset, an FCC license, and thus is unable to treat the purchase as a business combination. The tax basis in the asset...

1. Find the equation of the tangent to the curve y = x 2 + 4 at the point where x = 2. 2. Find the equation of the tangent to the graph of the cubic y = x 3 2x 2 + 2x + 4 at the point (1, 5). What...

The Gauss-Newton Algorithm Gauss file(s) stsm_gaussn.g Matlab file(s) stsm_gaussn.m Consider the ARMA(1,1) model yt = + 1yt1 + vt + 1vt1 , vt N(0, 1). (a) Show how the parameters of the model would...

A flat object in the xy -plane is free to rotate about the z -axis. The gravitational field is uniform in the y -direction. Think of the object as a large number of particles with masses mi located...

Do you think it would be unusual for a manager such as Doria Camaraza to spend a significant portion of her time motivating her workforce? Explain.

The key issue of charging electric vehicles will also completely change the face of "fuel" retailing. The cost of linking each of the 8000+ UK petrol stations to the grid to enable it to charge...

If a company is given credit terms of 2/10, n/30, it should hold off paying the bill until the end of the credit period, while investing the money at 10% annual interest during this time. pay within...

y A doped Si sample A of thickness 3 mm shows a Hall voltage of V, = 3 mV for current density J = 300 A/m, under a magnetic field of B = 1 Weber/m. Find the type of the semiconductor and doping...

ARCH began the year with the following balances (shown in alphabetical order) in their accounts: Accounts Payable ...................................................................... $27,000...

A consumer product company makes two types of dishwasher detergents: regular and concentrate. The company has two manufacturing facilities for making detergent products. The first facility has an...

In this experiment you will test the stability of a stack of blocks as the angle of the surface, the stack rests on gradually Increases. Using a fishing sinker tied to the center of mass, you will be...

Assume you are an auditor of ABC Corporation. In the process of talking to the employees of ABC you have found out that there is concern that the Director of Purchasing is steering Purchase Orders to...

31 pts In most cases degradation is a linear process. Group of answer choices agree disagree

A spherical satellite is ying through space while spinning on its axis. Unfortunately the gyroscope on the satellite is broken, and so the usual measurements for the axis and angular velocity of...

Conduct an internet search to find an organization that lists its mission and vision statement on its website. What do the mission and vision statements communicate? How might the organization use...

Please help! 3.4 Projectile Motion 27 .A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball...

Hello. I need to write a three page review for the two articles attached. Each review should include a brief summary that include the major points of the article, as well as a summary of my own...

Prolog You are approached to compose a Prolog program to work with twofold trees. Your code shouldn't depend on any library predicates and you ought to expect that the mediator is running without...

***PLEASE READ THIS FIRST*** I just need the following 3 questions answered. The answers for Questions 1 and 2 must be well-written, detailed, and must answer each question fully with examples from...