1.If a = (1, 1) and b = (4,3), find 2 so thata. a and b are orthogonalb. The angle between a and b is t/6i.Three masses, m = 2, m2 = 3, m3 = 1, have position vectors ri = (3,-5, 1), r2 =(6,–2, 0) , r3 = (0, 2,–2) , respectively. Find (I) the position vector of the centre ofmass (II) the position vectors of the masses with respect to the centre of massii.Hint: The centre of mass of a system of N masses, mị with position vector ri ('atposition ri '), m2 at r2.mN at ry is given byR = Rx,Ry, Rzm¡riMi=1NΣwhere M =m¡ is the total mass

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Answered: 1. If a = (1, 1) and b = (4,3), find 2…

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1. If a = (1, 1) and b = (4,3), find 2 so that a. a and b are orthogonal b. The angle between a and b is a/6 i.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotation Of A Rigid Object About A Fixed Axis

Section: Chapter Questions

Problem 12P: Review. A small object with mass 4.00 kg moves counterclockwise with constant angular speed 1.50...

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Question

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1.
If a = (1, 1) and b = (4,3), find 2 so that
a. a and b are orthogonal
b. The angle between a and b is t/6
i.
Three masses, m = 2, m2 = 3, m3 = 1, have position vectors ri = (3,-5, 1), r2 =
(6,–2, 0) , r3 = (0, 2,–2) , respectively. Find (I) the position vector of the centre of
mass (II) the position vectors of the masses with respect to the centre of mass
ii.
Hint: The centre of mass of a system of N masses, mị with position vector ri ('at
position ri '), m2 at r2.mN at ry is given by
R = Rx,Ry, Rz
m¡ri
M
i=1
N
Σ
where M =
m¡ is the total mass

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