Problem 1 For the 3d object shown to the right, complete the following: a) Determine the position vector from A to B in Cartesian notation. b) Determine the position vector from A to C in Cartesian notation. c) Determine the angle (0) between line segments AB and AC. m1 Z -3 m B 4 m

Problem 1 For the 3d object shown to the right, complete the following: a) Determine the position vector from A to B in Cartesian notation. b) Determine the position vector from A to C in Cartesian notation. c) Determine the angle (0) between line segments AB and AC. m1 Z -3 m B 4 m

Precision Machining Technology (MindTap Course List)

2nd Edition

ISBN:9781285444543

Author:Peter J. Hoffman, Eric S. Hopewell, Brian Janes

Publisher:Peter J. Hoffman, Eric S. Hopewell, Brian Janes

Chapter2: Measurement, Materials, And Safety

Section2.2: Measurement Systems And Machine Tool Math Overview

Problem 10RQ: What are the Cartesian coordinates of the four points shown at A, B. C, and D?

See similar textbooks

Related questions

Q: Based on the figure below. Find the force on P in newton that will produce a resultant force of 390…

Q: The pendulum consists of a 12-lb weighted plate and a 6-lb weighted slender bar. You are asked to…

A: Introduction The center of mass of a body or system of particles is defined as a location at which…

Q: Determine the force in each member of the loaded truss. The force is positive if in tension,…

A: Given data as per the question Weight =260 kg

Q: Find the reynolds number if a fluid of viscosity 0.4 Ns/m2 and relative density of 900 Kg/m3 through…

Q: An engineer is using an electric winch to help construct a new part of the habitat on Mars. The…

A: Given data Efficiency = 69% Weight = 1800 lbf Height = 14 m Time = 1 minute. Find the input power…

Q: As shown in the figure, Refrigerant 22 enters the compressor of an air conditioning unit operating…

Q: Cm 0.5 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 -0.4 -0.5 FIGURE P2.4 2 (a) Estimate the stick fixed neutral…

Q: (+) ΣΜ

Q: For the compressed liquid, what property(ies) is (are) used to determine other properties (1) if…

A: When the saturation pressure corresponding to the temperature is less than that of the pressure at…

Q: Solve the below equations 1. (1+e)dx=-ex/(1-x/y)dy

A: Please follow the steps as per given image below

Q: A 14-ft3 tank contains oxygen initially at 14.7 psia and 80°F. A paddle wheel within the tank is…

A: Given data: V=14 ft3P1=14.7 psiT1=80°F=540 RP2=20 psiaQ=20 Btu Need to determine the paddle-wheel…

Q: Problem 5. Chapter 17 Material Behavior Annealed low-carbon steel has a flow curve with strength…

Q: Determine the magnitude of the moment at point A if F = {7i+ 8j - 8k) N at applied at point B.…

Q: Determine the force in each member of the loaded truss. The force is positive if in tension,…

Q: Calculate the forces in members AB, BH, and BG. Members BF and CG are cables which can support…

A: Given data Member BF and CG are tension members. Find the force in AB, BH and BG.

Q: Air flows steadily through an adiabatic turbine. The inlet conditions of the air are 12.5MPa, 500°C…

Q: The uniform 200-lb beam is initially at rest when the forces are applied to the cables. Set F₁ = 130…

A: Given data :- weight of bar = 200 lb FA= 130 lb , FB= 180 lb Brief introduction:- find the…

Q: Determine the force in each member of the loaded truss. The force is positive if in tension,…

A: Given

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a = 11 in., b = 8 in.…

A: Given data a = 11 in and b= 8 in, Find the centroid of the shaded area.

Q: Determine the force in each member of the loaded truss. The force is positive if in tension,…

Q: The quality cannot be used for the phases including __________ A. Compressed liquid B.…

A: Quality is the ratio of mass of vapor to the total mass of mixture. Quality has significance only in…

Q: Write the F1 as Cartesian vector. F1 = 100 lb 0 = 35 deg = 40 deg

Q: A piston-cylinder device contains 0.13 kg of air initially at 2 MPa and 350°C. The air is first…

A: Introduction In this problem, we will calculate the work done by the piston cylinder device or work…

Q: Compute the draft power develop by a 750 kg buffalo pulling 95 kg load on a plow and travelling at a…

A: The pulling force required can be determined as shown below.

Q: The diameter of droplet is 0.075 mm. What is the intensity of the pressure (N/sq. cm) developed in…

A: Givend=0.075mmσ=0.000075 N/mm

Q: DOF: L= J₁= J₂=

Q: rm?

A: Given Electric Scooter To find Safety tests

Q: Draw the Shear and Moment Diagram and find the maximum shear and maximum moment for the given beam…

Q: Draw the kinematic Diagram and determine the degree of freedom of the following machines inside the…

A: Given: There are a mechanism shown consist of four basic links and a set of suspension link. The…

Q: PROBLEM 2 As an Engineer, you have been tasked by your superiors to determine the shear stress and…

A: Find the angle of twist in AB and BC section of shaft. Find shear stress in AB and BC section of the…

Q: The rod is attached with ball-and-socket joints to smooth collars A and B at its end points. A is…

A: Given data: The velocity of collar A vA=6.4 fts The angular velocity of the rod is perpendicular to…

Q: Question 3: The free body diagram of the back model in static equilibrium is shown in Figure 1…

Q: Consider the frame shown in . Suppose that F = 450 N. B X 2 m 3 m 600 N·m 4 m

Q: At the center of a narrow, uniformly charged ring with radius R is a non-polar molecule. What is the…

Q: Steam enters a turbine stage with an internal energy of 3,072 kJ/kg at 69 m/s and leaves the same…

Q: Platinum (Pt) has the FCC crystal structure, an atomic radius of 0.1387 nm, and an atomic weight of…

Q: Calculate the numerical values of Ke and Ks in Problem 6.5 in SI units.

A: In this problem, it is asking to convert the units of Ke and Ks in SI units. Write the given data.…

Q: As shown in the figure, Refrigerant 22 enters the compressor of an air conditioning unit operating…

A: Write the given data. P1=80 lbf/in2T1=40 °FP2=200 lbf/in2T2=160 °FP3=200 lbf/in2T3=90 °FP4=14.7…

Q: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200…

A: GivenE=200GPaσy=236MPay=45mm

Q: As shown in the figure, Refrigerant 22 enters the compressor of an air conditioning unit operating…

Q: Nitrogen in a rigid vessel is cooled by rejecting 100 kJ/kg of heat. Determine the internal energy…

A: Given data : Heat loss from a rigid vessel, Qloss = - 100 kJ/kg In case of rigid vessel, change in…

Q: rigid rod is constrained between points A and B, as shown. A Spring CD has stiffness 1.5 N/mm and n…

Q: Determine the x and y component of the center of gravity of all the components. If the heights of…

Q: Q2/ In simple refrigeration system uses R134a, the evaporator pressure is 0.25 MPa and the condenser…

A: Given data as per the question Evaporator pressure =0.25 Mpa Condenser pressure =1 Mpa Evaporator…

Q: Suppose that a vertical column of the atmosphere is initially isothermal from 90 to 50 kPa. The…

Q: Determine the moment of inertia about the x-axis of the rectangular area without and with the…

A: Given data: rectangular outer values and inner values

Q: For my exam reviewer: (DYNAMICS) A flywheel has its angular speed increased uniformly from 18 rad/s…

A: Write the given data. ωi=18 rad/sωf=75 rad/st=80 sD=3.5 ft

Q: Pin: MMC LMC Geom. Tol. с 1.000 1 1.000 Ø.515-.540 Hole 0.010M ABC 1.000 B Figure for Problem 21…

Q: 6. A Carnot power cycle employing 1 lbm of air as a working substance is presumed to operate between…

A: Given data: The mass of air as a working fluid is m=1lbm The temperature at the beginning of the…

Q: Refrigerant 134a enters a well-insulated nozzle at 200 lbf/in.², 170°F, with a velocity of 120 ft/s…

Question

Problem 1
For the 3d object shown to the right,
complete the following:
a) Determine the position vector from A
to B in Cartesian notation.
b) Determine the position vector from A
to C in Cartesian notation.
c) Determine the angle (0) between line
segments AB and AC.
d) Determine the unit vector in the
direction of line segment AC.
e) Determine how much (i.e. what
length) of line segment AB is parallel
to line segment AC.
X
1m
Z
1 m
5 m
-3 m-
B
4 m
3 m
y

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Elastic Constants and Their Relationship

Learn more about

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

Similar questions

Question 1 A point P(6,1,2) that is attached to a frame is subjected to the followings sequence of transformations: i. A rotation of 70° about the z-axis, ii. A translation of [4 -7 5], iii. A rotation of 50° about the y-axis. Solve for the coordinate of the point at the conclusions of these transformations.
The position vector rAB = 150i – 85j + TAB2 k has magnitude equal to 188 m. a) Determine the z-component r48 2 (positive). b) If the coordinates of point A are (25, 50, -20)m, define the coordinates of point B. c) Find the angle in degrees of the vector with the y-axis. d) Express a unit vector parallel to rAB in terms of components.
AutoCAD Sketching The given sketch is a cross section view of housing. Sketch the 2D sketch of the below figure using AutoCAD. Note: color the hatching if there any and mention the dimensions and reference lines 58 8 holes 10 Dia 40 Dia 15R 16 20R 58 Dia 20R 6 holes 8la 40 40 Housing 22
Given the following data, draw in a cartesian plane, the resulting vector,and it's three director angles
Using graphical method solve this problem: Suppose you first walk A in a direction of B west of north then C in a direction D south of west. You rest for 20 minutes and started to compute the distance you traveled. Take A, B, C and D found in the table below. (You may use scale such as 1cm = 2m in your drawing) C. What is the angle between AC ? D. What is the angle between your first walk A to the resultant R?
a. What is the position vector that starts at -50j and ends at 50 j? b. What is the position vector that starts at (-50 i - 20 j +10 k) lb and ends at (50 i + 20 j -10 k) lb c. What is the resultant sum of the moments in Cartesian vector form? Round your entries to the nearest whole number.
Many aspects of a gymnast's motion can be modeled by representing the gymnast by four segments consisting of arms, torso (including the head), thighs, and lower legs, as in the figure below. HINT xc9 Y cg = a Segment Need Help? Arms Torso Thighs In the figure, (b) shows arrows of lengths rcg locating the center of gravity of each segment. Use the data below and the coordinate system shown in figure (b) to locate the center of gravity of the gymnast shown in figure (a). Masses for the arms, thighs, and legs include both appendages. (Enter your answers in m, to at least three significant figures.) Legs 3 3 Read It 6.81 Mass (kg) Length (m) rcq (m) cg 33.6 14.1 60° 7.58 Watch It 0.548 0.613 b 0.370 0.350 0.242 0.337 0.149 y 0.227 Arm Thigh Torso 60° Leg x
for the given figure , draw the 2d sketch using AutoCad and give the dimension
(Please Help) Three towers (labelled as points T1, T2, and T3) detected an invading fighter jet moving in an arc (path). The fighter jet’s flight information is as follows: Tower 1 - 300 km 15° EastofNorth @ 2:50 AM; Tower 2 - 250 km North @ 2:30 AM; and Tower 3 - 283 km (~200√2 km) 45° Northeast @ 2:00 AM. Using geometric constructions only: 1. Draw the arc (path) of travel of the fighter jet. Label the center as point J. 2. Mark the location of the fighter jet after 900 km of travel from 2:30 AM. Label this as point K. Five anti-airs are to be mobilized to intercept the fighter jet at point K. These are to be located 300 km from point K and each adjacent anti-airs must be equally spaced. Using geometric constructions only: 3. Mark the locations of the 5 anti-airs. Label the seas A1, A2, A3, A4 and A5. 4. Using the information from towers 1 and 3 as reference, what is the average speed of the fighterjet?_____________Note: You may use a ruler for item 4. Scale:100km=1cm.
Question 2 A point P in space is defined as P= [3, 5, 4] attached to a frame (,,a) Compute the end point if it undergoes the following transformations: i. Rotation of 45° about the n-axis. ii. Translated 5 units about the y-axis, 7 units about the z-axis, and 5 units about the x- axis. iii. Rotated 60° about the z-axis.
Sketch the 2D figure using AutoCAD and mention all the dimensions, colour the hatched lines if there any. 20 36 R 20R BR 36 BR 15 45 45 Upright | 2 holes 10 Dia 36K 158
For the pipe assembly shown: (a) Determine the magnitudes of the components of F= 600 N acting along and perpendicular to segment ED (FED parallel and FED perpendicular). (b) Define canonically (cartesian vector notation) the vector Fa, as the projected component of vector F along (parallel) to segment BA. 2 m 2 m 2 m 3 m E B F=600 N Submit the outcomes of H02-02 in a logical sequential descending order immediately after the H02- 01 outcomes. Add them to the single PDF file to be submitted, just as if you were submitting a hard- copy. Maximum size of the single PDF file is 10MB.