Four particles of masses m, 2m, 3m, 4m are located at the points (a, a, a) , (a, -a, -a), (-a, a, -a), (-a, -a, a) respectively and all are rigidly con- nected with one another by a light frame. Using the basic definitions of moments and product of M.I. Show that the principal M.I of the system at origin are 20ma² , 2(10 + /5)ma² and 2(10 – V5)ma? pr

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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Problem 68P: Two astronauts (Fig. P10.67), each having a mass M, are connected by a rope of length d having...
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Q2
Assi nt
m
For:
2 = (1,0,0)
서=11
= (0.
alphaaa_m
3
m alpt
alphaaa_m
11
alphaaa
alph
Due Date : December
m alphaaa m
alphaa
10
2021
1. A uniform solid rectangular block of mass m has a square base with
edges of length 2a and height a using cartesian axes parallel to the height
and to the edges of the base. Show that principal moment of inertia of
the block relative to the corner of the base are ma², ({ + V1) -
alpaaa_m
(- V) ma?. Also find the principal axes.
a
, (a, -a, -a), (–a, a, -a), (-a, –a, a) respectively and all are rigidly con-
nected with one another by a light frame.
Using the basic definitions of moments and product of M.I. Show that
the principal M.I of the system at origin are 20ma² , 2(10 + V5)ma² and
2(10 – V5)ma?
2. Four particles of masses m, 2m, 3m, 4m are located at the points (a, a, a)
ma²,
In the next lecture we will introduce the Principal Axes for Plane Body and
then will solve some related examples.
preview
alphaaa_m
alphaaa_malphaaa
alphaaa_m
alphaaa_m
alphaaa_m
alphaaa_m
e alphaaa_m alphaaa
m
alpha
_m
m alphaaa_m
alphaa
alpr
alphaa
alphaa
Transcribed Image Text:Assi nt m For: 2 = (1,0,0) 서=11 = (0. alphaaa_m 3 m alpt alphaaa_m 11 alphaaa alph Due Date : December m alphaaa m alphaa 10 2021 1. A uniform solid rectangular block of mass m has a square base with edges of length 2a and height a using cartesian axes parallel to the height and to the edges of the base. Show that principal moment of inertia of the block relative to the corner of the base are ma², ({ + V1) - alpaaa_m (- V) ma?. Also find the principal axes. a , (a, -a, -a), (–a, a, -a), (-a, –a, a) respectively and all are rigidly con- nected with one another by a light frame. Using the basic definitions of moments and product of M.I. Show that the principal M.I of the system at origin are 20ma² , 2(10 + V5)ma² and 2(10 – V5)ma? 2. Four particles of masses m, 2m, 3m, 4m are located at the points (a, a, a) ma², In the next lecture we will introduce the Principal Axes for Plane Body and then will solve some related examples. preview alphaaa_m alphaaa_malphaaa alphaaa_m alphaaa_m alphaaa_m alphaaa_m e alphaaa_m alphaaa m alpha _m m alphaaa_m alphaa alpr alphaa alphaa
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