QuestionQuestion

Transcribed TextTranscribed Text

The inertia matrix for the main body, B, of a spacecraft is [𝐼𝐡] 2000 200 0 200 1500 0 0 0 2200𝑠𝐼 βˆ’ 𝑓𝑑2 Where is measured relative to B's c.m. and vector basis 𝐛𝑖, which is fixed in B. B weighs 1200 lbs. A second body, C, is attached to B, as shown below. R = vector from B's c.m. to center of the base of C = 0𝐛1 + 2𝐛2 + 1𝐛3 ft C is a homogeneous, 322 lb box with sides aligned with 𝐛𝑖 a) What is the location of the system (B + C) center of mass relative to the B's c.m.? Express the answer as a vector from B's c.m. to the system's c.m. in the 𝐛𝑖 basis in feet. b) Define the inertia matrix for C relative to the system c.m. and referred to the 𝐛𝑖 basis in 𝑠𝑠 βˆ’ 𝑓𝑑2. (c) Find the inertia matrix for the system (B + C) relative to the system's c.m. and referred to 𝐛𝑖 . Indicate all equations used. Define all 9 elements of the inertia matrix in 𝑠𝐼 βˆ’ 𝑓𝑑2

Solution PreviewSolution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Spacecraft Attitude Control
    $25.00 for this solution

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Aerospace Engineering Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats