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    Chapter 5 Solution

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    nomio12
    The document summarizes two key equations related to circular motion: 1) The period of circular motion T can be written as 2πr/v, relating the radius, velocity, and period. 2) The force F to maintain a circular path of radius r is mv^2/r, relating the mass, velocity, and radius to the centripetal force. The document then provides steps to set up coordinate systems and analyze forces, such as tension, along different axes to solve for equations of motion related to a mass attached to two ropes at different angles.

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    Chapter 5 Solution

    Uploaded by

    nomio12
    14 views2 pages
    The document summarizes two key equations related to circular motion: 1) The period of circular motion T can be written as 2πr/v, relating the radius, velocity, and period. 2) The force F to maintain a circular path of radius r is mv^2/r, relating the mass, velocity, and radius to the centripetal force. The document then provides steps to set up coordinate systems and analyze forces, such as tension, along different axes to solve for equations of motion related to a mass attached to two ropes at different angles.

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    Chapter 5 Solution - Copy.docx

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    The document summarizes two key equations related to circular motion: 1) The period of circular motion T can be written as 2πr/v, relating the radius, velocity, and period. 2) The force F to maintain a circular path of radius r is mv^2/r, relating the mass, velocity, and radius to the centripetal force. The document then provides steps to set up coordinate systems and analyze forces, such as tension, along different axes to solve for equations of motion related to a mass attached to two ropes at different angles.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    14 views2 pages

    Chapter 5 Solution

    Uploaded by

    nomio12
    The document summarizes two key equations related to circular motion: 1) The period of circular motion T can be written as 2πr/v, relating the radius, velocity, and period. 2) The force F to maintain a circular path of radius r is mv^2/r, relating the mass, velocity, and radius to the centripetal force. The document then provides steps to set up coordinate systems and analyze forces, such as tension, along different axes to solve for equations of motion related to a mass attached to two ropes at different angles.

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 2

    Chapter 5 Solution

    5.25

    The period of circular motion can be written, using the radius r and velocity v,

    2r
    T=
    v

    , while the force to maintain the circular path of radius r is

    mv 2
    F=

    Using those expression, the force F can be expressed as

    m 4 2 2 4 2
    F= ( )=
    r 2

    5.38

    STEP 1) Set up the proper coordinate system as, picture below.

    19
    1 62 2

    x
    STEP 2) Specify all the forces that the mass is exposed to and analyze those forces along the
    coordinate youve set.

    Let the mass of pack be M, gravitational acceleration g, the tension T1 , 2 for each rope.

    x direction

    T1 19 + 2 62 = 0

    y direction

    T1 19 + 2 62 =

    STEP 3) Calculate the equations of motion in STEP 2)

    1 29
    T2 =
    62

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