Consider a satellite moving in a torque-free environment. The inertial frame and satellite body-fixed frame are represented by N-frame and B-frame, where {₁, 2, ñ3} and {b₁, 62, 63} are right-handed vector bases fixed in N-frame and B-frame, respectively. {b;} is aligned with the principal axis of inertia, where ₁ and 63 are associated with the minimum and maximum moments of inertia, respectively. Denote the satellite angular velocity by w = wibi; and the inertia tensor about the CoM by Ic. Suppose that I at time t = 0 is given by: Ic(t = 0) = 2ñ₁ñ₁ +2.25ñ₂ŵ₂ +2.25 3ñ3 -0.75 n₂n3 -0.75 n3n2 (dimensionless) (a): First, let us characterize the inertia property of the satellite from the given information. (a.1): Express the satellite inertia tensor about the CoM in B-frame. Sketch the inertia ellipsoid of this body with B-frame

Consider a satellite moving in a torque-free environment. The inertial frame and satellite body-fixed frame are represented by N-frame and B-frame, where {₁, 2, ñ3} and {b₁, 62, 63} are right-handed vector bases fixed in N-frame and B-frame, respectively. {b;} is aligned with the principal axis of inertia, where ₁ and 63 are associated with the minimum and maximum moments of inertia, respectively. Denote the satellite angular velocity by w = wibi; and the inertia tensor about the CoM by Ic. Suppose that I at time t = 0 is given by: Ic(t = 0) = 2ñ₁ñ₁ +2.25ñ₂ŵ₂ +2.25 3ñ3 -0.75 n₂n3 -0.75 n3n2 (dimensionless) (a): First, let us characterize the inertia property of the satellite from the given information. (a.1): Express the satellite inertia tensor about the CoM in B-frame. Sketch the inertia ellipsoid of this body with B-frame

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Solve correctly x2+y2<_16.
A disc with a radius of 0.53 m is fixed to rotate about its center. Three forces act on the object as noted below. What magnitude net torque acts on the object? F1 = 14.7 N tangentially applied to the outer edge. F2 = 11.1 N tangentially applied to the outer edge. F3 = 11.5 N tangentially applied at a distance 0 m above the axis of rotation at an angle theta = 34.3 degrees with respect to the vertical. The location of F3 is at the center of the circle (a distance of 0 from the axis)
The centre of mass of a non-uniform rod of length 4 m whose mass per unit length is K = 3x kg/m, where x is in m. The distance of centre of mass from its one end which is at origin will be
Parvinbhai
Find the moments of inertia of the shaded shape about the given centroidal x-axis (Ix) and centroidal y-axis (I). The equations for a single rectangle's moment of inertia about its own centroidal axis is given below. 4 h + y с A = bh Rectangular area X I₂ = 1/2bh³ bh³ Iy = 1 in 2 in 2 in y 1 in 2 in y' x' 2.375 in X
5. The presence of a net external torque will still lead to a conservation of angular moment of a rotating body True False