CLASSICAL DYNAMICS OF PARTICLES AND SYST
5th Edition
ISBN: 9780357670675
Author: Thornton
Publisher: CENGAGE L
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Chapter 1, Problem 1.5P
To determine
The proof for
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Determine the shear and moment diagram for the beam shown in Fig.1.
A
2 N/m
10 N
8 N
6 m
B
4m
Fig.1
40 Nm
Steps:
1) Determine the reactions at the fixed support (RA and MA) (illustrated
in Fig 1.1)
2) Draw the free body diagram on the first imaginary cut (fig. 1.2), and
determine V and M.
3) Draw the free body diagram on the second imaginary cut (fig. 1.3),
and determine V and M.
4) Draw the shear and moment diagram
Considering the cross-sectional area shown in Fig.2:
1. Determine the coordinate y of the centroid G (0, ỹ).
2. Determine the moment of inertia (I).
3. Determine the moment of inertia (Ir) (with r passing through G and
r//x (// parallel).
4 cm
28 cm
G3+
G
4 cm
y
12 cm
4 cm
24 cm
x
I need help understanding 7.
Chapter 1 Solutions
CLASSICAL DYNAMICS OF PARTICLES AND SYST
Ch. 1 - Prob. 1.1PCh. 1 - 1.2. Prove Equations 1.10 and 1.11 from...Ch. 1 - Prob. 1.3PCh. 1 - Show
(a) (AB)t = BtAt (b) (AB)−1 = B−1 A−1
Ch. 1 - Prob. 1.5PCh. 1 - Prob. 1.6PCh. 1 - Consider a unit cube with one corner at the origin...Ch. 1 - Prob. 1.8PCh. 1 - For the two vectors
find
A − B and |A –...Ch. 1 - A particle moves in a plane elliptical orbit...
Ch. 1 - Prob. 1.11PCh. 1 - Let a, b, c be three constant vectors drawn from...Ch. 1 - X is an unknown vector satisfying the following...Ch. 1 - Prob. 1.14PCh. 1 - Prob. 1.15PCh. 1 - What surface is represented by r a = const, that...Ch. 1 - Obtain the cosine law of plane trigonometry by...Ch. 1 - Obtain the sine law of plane trigonometry by...Ch. 1 - Prob. 1.19PCh. 1 - 1-20. Show that
Ch. 1 - Show (see also Problem 1–11) that
Ch. 1 - Prob. 1.22PCh. 1 - Use the εijk notation and derive the identity
(A ×...Ch. 1 - Prob. 1.24PCh. 1 - Find the components of the acceleration vector a...Ch. 1 - Prob. 1.26PCh. 1 - If r and are both explicit functions of time,...Ch. 1 - Show that
Ch. 1 - Prob. 1.29PCh. 1 - Prob. 1.30PCh. 1 - Show that
(a)
(b)
(c)
Ch. 1 - Show that (2arr+2brr)dt=ar2+br2+const. where r is...Ch. 1 - Show that (rrrrr2)dt=rr+C where C is a constant...Ch. 1 - Prob. 1.34PCh. 1 - Prob. 1.35PCh. 1 - Prob. 1.36PCh. 1 - Prob. 1.37PCh. 1 - Prob. 1.38PCh. 1 - A plane passes through the three points (x, y, z)...Ch. 1 - For what values of a are the vectors A = 2ai − 2j...
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