Recent content by twowheelsbg

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    Simple Mechanics, relative motion example

    Later edit, sorry for the typinng bug.
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    Simple Mechanics, relative motion example

    Homework Statement Might be the sketch most useful first: The prism is sliding horizontally from left to right under condition : S(t)=4*t*t+5*t+1[cm] and the bar OA is rotating, point A is sliding over the prism's slope and point O is the immobilized center of bar's rotation, OA=10cm...
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    Finding Derivatives for Bicycle Trajectory Plot in 2D

    Negligible differences between my result and expected, led me into doubt that something might be rounded for simplicity - calculation of center of masses path radius as medium from front and rear radius gave exactly the original results. Case closed :rolleyes:
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    Finding Derivatives for Bicycle Trajectory Plot in 2D

    I thought a bit, and changed my mind. If my graphical interpretation is correct, rear contact follows path with p/tga radius, front contact follows path with p/sina radius, and all intermediate points between R0 and F0 follow intermediate circles with intermediate radius, ... and...
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    Finding Derivatives for Bicycle Trajectory Plot in 2D

    Homework Statement Recently I met a Mathcad calculation plotting bicycle path traveled. Initial positions of tire tracks are known, their increments were calculated with bike speed 'v', wheelbase 'p', and steering angle 'a' so via ODE system solving front and rear tracks coordinates were...
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    System of two bodies simple dynamics calculaton

    Thank you guys, for the directions, I solved the problem exactly this way - I saw that words for the physical terms into my writing became links, and followed them to library, where it was explained more in details how to solve for angular momentum - special thanks to forum architects and...
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    System of two bodies simple dynamics calculaton

    Actually you are right Uriwolln, it it more complicated. Both masses have particular equations and their coordinates (X,Z) vary with time. My final goal is to calculate their angular momentum via Y axis, and after it's derivative, which is to be used as equal to external moments applied to...
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    System of two bodies simple dynamics calculaton

    Actually I made a step forward, explaining my mess some questions dropped :blushing: Sorry first for the incomplete thesis, I just tried to keep it simple. There is a third axle 'Y' of course, which absence makes questions of momentums irrelevant. I also comprehended why second approach...
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    System of two bodies simple dynamics calculaton

    Homework Statement In a two-dimensional space there is a system of two bodies, masses M1, M2, and coordinates (X1,Z1) and (X2,Z2) I have to find total mass, its coordinates, inertia momentum, and angular momentum Homework Equations ... my memories help here, obviously not so good ... The...
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    How Does Gyroscopic Precession Affect a Bike's Lean in a Corner?

    Passing a corner in physical context is very complicated of course, but I will try with a simplification. Lean angle changes almost all the time, and the balance condition is often very short time period, or fluctuations around such one happen. If, let's say approaching left turn having...
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    How Does Gyroscopic Precession Affect a Bike's Lean in a Corner?

    Hi, tiny-tim, thanks for the usefull web link! Sorry, but I can't see where exactly to place the 'separation' line making the difference :frown: Working pc hard drive in my hand pushes my hand transversely to my rotation, above plate receives reactions from the gyro and would incline if...
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    How Does Gyroscopic Precession Affect a Bike's Lean in a Corner?

    Thnks once for the reply, thnks twice for the greek characters :smile: While checking an gyroscope article, i read a paragraph with following: horizontal gyro is supported on a plate, his axle fixed only to spin by plate bearings. If we start to rotate the plate c.clockwise ( top view )...
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    How Does Gyroscopic Precession Affect a Bike's Lean in a Corner?

    above to be read : ...with momentum : (V/R)*((wheel inertial moment)*V/(wheel radius))*cos(alpha) , sorry for the typing mistake.
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    How Does Gyroscopic Precession Affect a Bike's Lean in a Corner?

    if Mods consider my question posted into inappropriate section, please move it :smile:
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    How Does Gyroscopic Precession Affect a Bike's Lean in a Corner?

    Homework Statement Bike has leaned, passing via corner. Centrifugal forces ( m*(V*V/R)*sin(alpha) ) are trying to upright the bike, gravity forces ( m*g*cos(alpha) ) to lean it further, so the balance lean angle comes tg(alpha) = V*V/R/g, where V is bike speed, R is curve radius, g is...