Transcribed TextTranscribed Text

Question 3 - 9 marks A particle of mass m is constrained to move on a smooth fixed wire with the shape y = cosh x, where the y-axis is vertically upwards and the only force is that of gravity, which acts in the negative y-direction. (a) How many degrees of freedom does this system have? State appropriate generalised coordinates for this system. [1] (b) Find the speed in terms of the stated generalised coordinates, and determine the Lagrangian. [4] (c) Hence show that the equation of motion of the particle is x cosh2 x + 1/2 sinh 2.c = where g is the magnitude of the acceleration due to gravity. [4]

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:

    for this solution

    or FREE if you
    register a new account!

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

    Find A Tutor

    View available Differential Equations 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.

    Upload a file
    Continue without uploading

    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