EBK MATHEMATICS FOR MACHINE TECHNOLOGY
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
bartleby

Videos

Question
Book Icon
Chapter 74, Problem 16A
To determine

(a)

The sketch and label of a rectangular solid.

Expert Solution
Check Mark

Answer to Problem 16A

The sketch and label of a rectangular is shown in Figure-(1).

Explanation of Solution

Project auxiliary lines that form right triangles containing the given angles, the axis of the hole, and the angles to be computed, R and T. BC is a side of ΔBCD, which contains the given 21°00 angle. BC is also a side of right ΔBCE, which contains R that is to be computed.

The sketch and label of a rectangular is shown below.

EBK MATHEMATICS FOR MACHINE TECHNOLOGY, Chapter 74, Problem 16A

  Figure-(1)

To determine

(b)

The angle of rotation R.

Expert Solution
Check Mark

Answer to Problem 16A

The angle of rotation R is 23°35.

Explanation of Solution

Write the expression for the angle D using the triangle BCD.

  tanD=BCDC ...... (I)

Here, the length of the side BC is BC and the length of the side DC is DC.

Write the expression for the angle A using triangle ACE.

  tanA=CEAE ...... (II)

Here, the length of the side CE is CE and the length of the side AE is AE.

Write the expression for the angle R using triangle BCE.

  tanR=BCCE ...... (III)

Calculation:

Consider the length of the side BC=1unit.

Substitute 1unit for BC and 21°00 for D in Equation (I).

  tan21°00=1unitDCDC=1unittan21°00DC=1unit0.3838DC=2.605unit

The length of the side AE and DC are same. Therefore, the length of the side AE is 2.605unit.

Substitute 2.605unit for AE and 41°20 for A in Equation (II).

  tan41°20=CE2.605unitCE=(2.605unit)tan41°20CE=(2.605unit)(0.8795)CE=2.291unit

Substitute 2.291unit for CE and 1unit for BC in Equation (III).

  tanR=1unit2.291unittanR=0.4364R=tan1(0.4364)R=23°35

Conclusion:

The angle R is 23°35.

To determine

(c)

The angle of tilt C.

Expert Solution
Check Mark

Answer to Problem 16A

The angle of tilt T is 43°49.

Explanation of Solution

Write the expression for the length BE using the triangle BCE.

  BE=BC2+CE2 ...... (IV)

Write the expression for the angle T using triangle AEB.

  tanT=BEAE ...... (V)

Calculation:

Substitute 1unit for BC and 2.291unit for CE in Equation (IV).

  BE= ( 1unit )2+ ( 2.291unit )2=6.2486 unit2=2.4997unit

Substitute 2.4997unit for BE and 2.605unit for AE in Equation (V).

  tanT=2.4997unit2.605unittanT=0.9596T=tan1(0.9596)T=43°49

Conclusion:

The angle T is 43°49.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Let A be a vector space with basis 1, a, b. Which (if any) of the following rules turn A into an algebra? (You may assume that 1 is a unit.) (i) a² = a, b² = ab = ba = 0. (ii) a²=b, b² = ab = ba = 0. (iii) a²=b, b² = b, ab = ba = 0.
No chatgpt pls will upvote
= 1. Show (a) Let G = Z/nZ be a cyclic group, so G = {1, 9, 92,...,g" } with g": that the group algebra KG has a presentation KG = K(X)/(X” — 1). (b) Let A = K[X] be the algebra of polynomials in X. Let V be the A-module with vector space K2 and where the action of X is given by the matrix Compute End(V) in the cases (i) x = p, (ii) xμl. (67) · (c) If M and N are submodules of a module L, prove that there is an isomorphism M/MON (M+N)/N. (The Second Isomorphism Theorem for modules.) You may assume that MON is a submodule of M, M + N is a submodule of L and the First Isomorphism Theorem for modules.
Knowledge Booster
Background pattern image
Advanced Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Text book image
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
Text book image
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Linear Transformations on Vector Spaces; Author: Professor Dave Explains;https://www.youtube.com/watch?v=is1cg5yhdds;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY