DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
Chapter 4, Problem 4.3P
Repeat problem 4-2 considering points A and B to represent separate particles, and find their relative position.
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Figure p3-31 the only problem I want to sol
Learning Goal:
To understand the concept of moment of a force and how to calculate it using a
vector formulation.
A man wishes to spin a merry-go-round in the x-y plane centered at the origin
(0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot
stand on the merry-go-round, he must apply a force in the direction of the unit
vector u = (-1/3)i+(2/3)j+(2/3) k. He pulls with a force F = 47.0 lb
from point A[(3.00, 4.00, 0.000) ft].
Part A
What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin?
Express your answers numerically in pound-feet to three significant figures separated by commas.
► View Available Hint(s)
VE ΑΣΦ
Mz, My, M₂ =
Submit
Part B Complete previous part(s)
Provide Feedback
vec
?
lb-ft
For each vector polygon in Figure P1-3, write the vector equation that gives the resultant R.
Chapter 4 Solutions
DESIGN OF MACHINERY
Ch. 4 - A position vector is defined as having a length...Ch. 4 - A particle is traveling along an arc of 6.5-in...Ch. 4 - Repeat problem 4-2 considering points A and B to...Ch. 4 - Repeat Problem 4-2 with the particles path defined...Ch. 4 - Repeat Problem 4-3 with the path of the particle...Ch. 4 - The link lengths and the value of 2 for some...Ch. 4 - Repeat Problem 4-6 except solve by the vector loop...Ch. 4 - Expand equation 4.7b and prove that it reduces to...Ch. 4 - The link lengths and the value of 2 and offset for...Ch. 4 - Repeat Problem 4-9 except solve by the vector loop...
Ch. 4 - The link lengths and the value of 2 and for some...Ch. 4 - Repeat Problem 4-11 except solve by the vector...Ch. 4 - Find the transmission angles of the linkages in...Ch. 4 - Find the minimum and maximum values of the...Ch. 4 - Find the input angles corresponding to the toggle...Ch. 4 - The link lengths. gear ratio (). phase angle (),...Ch. 4 - Repeat Problem 4-16 except solve by the vector...Ch. 4 - Figure P4-5 shows the mechanisms for the following...Ch. 4 - For one revolution of driving link 2 of the...Ch. 4 - Figure P4-7 shows a power hacksaw, used to cut...Ch. 4 - For the linkage in Figure P4-8, find its limit...Ch. 4 - For the walking-beam mechanism of Figure P4-9,...Ch. 4 - For the linkage in Figure P4-10, calculate and...Ch. 4 - For the linkage in Figure P4-11, calculate and...Ch. 4 - For the linkage in Figure P4-12, find its limit...Ch. 4 - Prob. 4.26PCh. 4 - For the linkage in Figure P4-13, find its limit...Ch. 4 - Prob. 4.28PCh. 4 - For the linkage in Figure P4-15, find its limit...Ch. 4 - For the linkage in Figure P4-15, find its limit...Ch. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Figure 4-22 plots the cubic function from equation...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.35PCh. 4 - Prob. 4.36PCh. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.39PCh. 4 - Prob. 4.40PCh. 4 - Write a computer program or use an equation solver...Ch. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Model the linkage shown in Figure 3-37a in...Ch. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Prob. 4.48PCh. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Figure 3-29g shows Evans approximate straight-line...Ch. 4 - For the linkage in Figure P4-16, what are the...Ch. 4 - The coordinates of the point P1 on link 4 in...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - For the linkage in Figure P4-17, calculate the...Ch. 4 - Prob. 4.56PCh. 4 - Prob. 4.57PCh. 4 - The elliptical trammel in Figure P4-18 must be...Ch. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - Repeat Problem 4-60 except solve by the vector...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Write a computer program or use an equation solver...Ch. 4 - Figure P4-20 shows a cut-away view of a mechanism...Ch. 4 - For the linkage in Figure 3-32a, calculate and...
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- 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.arrow_forwardFigure 1 illustrates transformation involving a frame. Construct the transformation matrix of point C relative to point A.arrow_forwardP1(5, 20,10) will be rotated by 30 deg about the Z-axis. Followed by 90 deg about the X-axis, and the 45 deg about the Y axis. Find the final position.arrow_forward
- Given the vectors in Figure P1-2, use a scale of 1 inch = 10 units, and determine the following vectors: Figure P1-2 B=10 ; 270⁰ C=15 ; 210⁰ D=12,5 ; 315⁰ E= 7,5 ; 75⁰ F = 10 ; 215⁰ G= 15 ; 100⁰arrow_forwardThe link lengths, value of theta2, and offset for some fourbar slider-crank linkages are defined inTable P4-2. The linkage configuration and terminology are shown in Figure P4-2. For row a,draw the linkage to scale and graphically find all possible solutions (both open and crossed)for angles theta3 and slider position d.arrow_forwardLearning Goal: To understand the concept of moment of a force and how to calculate it using a vector formulation. Part A A man wishes to spin a merry-go-round in the x-y plane centered at the origin (0.000, 0.000, 0.000). (Figure 1) Because he must pull upward and cannot stand on the merry-go-round, he must apply a force in the direction of the unit vector What are the x, y, and z components of the resulting moment acting on the merry-go-round about the origin? Express your answers numerically in pound-feet to three significant figures separated by commas. u = (-1/3)i+ (2/3)j+(2/3)k. He pulls with a force F = 36.0 lb from point A [(3.00, 4.00, 0.000) ft]. Mg, My, M2 = 96, – 72, 120 lb - ft Submit Previous Answers Completed Part B Figure 1 of 1 > Find M, the magnitude of the moment, and 0, the angle between r and the force F. Express your answers in pound-feet and degrees to three significant figures separated by a comma. ΑΣΦ ? vec M,0 = lb · ft,degrees Submit Request Answer A < Return…arrow_forward
- Z4-Part 3arrow_forwardThe kinematic scheme of the mechanism is given. Point C is the center of curvature of the link 3 at the point of the contact. Link 2 is with circular shape with center point B. Find the degrees of freedom.arrow_forwardUsing 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?arrow_forward
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