Let (X, Y,Z) be the position of an object's CM, and let (x, y, z) be the

Question:

Let (X, Y,Z) be the position of an object's CM, and let (x, y, z) be the position relative to the CM. Prove the parallel-axis theorem, equation. (8.17), by setting x = X + x, y = Y + y, and z = Z + z in equation.(8.8).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introductory Classical Mechanics

ISBN: 978-0521876223

1st edition

Authors: David Morin

See More Books

Question Posted: Jul 14, 2011 04:06 PM

See More Questions

c. Calculate the rate of return of the price-weighted index for the second period ( t = 1 to t = 2). Consider the three stocks in the following table. Pt represents price at time t, and Qt represents...
The instantaneous position of an object is specified by its position vector r leading from a fixed origin to the location of the point object. Suppose that for a certain object the position vector is...
The position of an object undergoing simple harmonic motion is given by x = A cos(Bt). Explain the physical significance of the constants A and B. What is the frequency of this object's motion?
Do laws provide a complete guide to ethical behavior? Can an activity be legal but not ethical?
Rembrandt Hotel & Casino is situated on beautiful Lake Tahoe in Nevada. The complex includes a 300-room hotel, a casino, and a restaurant. As Rembrandt's new controller, your manager asks you to...
What changes in the settlors life should cause the updating of a will?
Does life satisfaction change by region over time? Use the lifesat_childmort data from Example 2.15 to explore this question. Data from Example 2.15 The World Happiness Report [Helliwell et al.,...
Peters Restaurants acquired Corner Diners. The financial records of Corner Diners included the following: Book Value of Assets...
On January 1, JKR Shop had $550,000 of beginning inventory at cost. In the first quarter of the year, it purchased $1,690,000 of merchandise, returned $24,100, and paid freight charges of $38,600 on...
Archer Solutions needs to store the following data about customers and sales in a relational database: Product ID Order date Customer ID Customer address Customer name Customer phone Selling price...
A cone rolls without slipping on a table. The half-angle at the vertex is ?, and the axis of the cone has length h (see Fig.). Let the speed of the center of the base (label this as point P) be v....
Given a pancake object in the x-y plane, show that there exist principal axes by considering what happens to the integral xy as the coordinate axes are rotated about the origin.
(E C) LE (C L) Use truth tables to determine whether the following pairs of symbolized statements are logically equivalent, contradictory, consistent, or inconsistent. First, determine whether...
What is interpersonal therapy?
What is the science of psychology?
What is learning?
____________________refers to the phenomenon in which young children omit nonessential portions of sentences.
__________involves changes brought about by experience, whereas maturation describes changes resulting from biological development.
The comparative financial statements of Stratum Ltd are shown below. Required (a) Calculate the changes in the financial statements from 2019 to 2020 in both dollar amounts and percentages. (b)...
The comparative statements of financial position of Menachem NV at the beginning and end of the year 2019 appear below. Net income of ¬34,000 was reported, and dividends of ¬23,000 were paid...
Explain the challenges faced in the use of SSL accelerators.
A rectangular beam with semicircular notches, as shown in part (b) of the figure, has dimensions h = 0.88 in. and h1 = 0.80 in. The maximum allowable bending stress in the metal beam is max = 60ksi,...
A rectangular beam with semicircular notches, as shown in part (b) of the figure, has dimension h = 120mm and h1 = 100mm. The maximum allowable bending stress in the plastic beam is max = 6MPa, and...
A rectangular beam with notches and a hole (see figure) has dimensions h = 5.5in., h1 = 5in., and width b = 1.6in. The beam is subjected to a bending moment M = 130k-in., and the maximum allowable...
Write the feature of Super's Career Development Assessment and Counseling (C-DAC) system?
Describe one type of role-play technique you could use in a specific group setting. Explain who would benefit from this technique and why. Toseland, R. W., & Rivas, R. F. (2017). An introduction to...
Suppose that a manager is following a base stock policy where the optimal inventory position is 10. Assume the component lead time is 2 days. At the end of day 1, there is no ordered units yet to be...

Let (X, Y,Z) be the position of an object's CM, and let (x, y, z) be the

Question:

Y2 + Z2 L1 L2 L3 -ZX -XY w1 Z2 + X? -XY -YZ X2 + Y2 -ZX -YZ w3 - S'y' S(:2 + a2) - Sy/2' S(? + ) - fa'y - fr' = (IR + ICM)w. - Sy2 S(22 + y2) (8.17) (E) S(1? + 22) - f ry - f zx - fyz S(? + y?) -fry S(22 +x2) L1 w1 L2 L3 Iyx Iny Iz Iyr Iyy Iyz Iz Izy Izz w3 = Iw (8.8)

Step by Step Answer:

Consider one of the diagonal entries in I say I11 f y 2 In terms of the new variables this equals ...View the full answer

Introductory Classical Mechanics

Students also viewed these Mechanics questions