Recent content by YauYauYau

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    Lagrangian mechanics, simple pendulum

    I try to begin the question with place origin of coordinates at the centre of the disk (x,y) With the parameters of figures given, for x, because ξsinθ ( the height of triangle formed by bob ) is longer than that of radius, x = ξsinθ - a cos ωt similarly, y = ξcosθ - a sin ωt However, the...
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    Lagrangian mechanics, simple pendulum

    But how can I define the generalized coordinates q and qdots?
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    Lagrangian mechanics, simple pendulum

    Homework Statement A simple pendulum of length ξ and mass m is suspended from a point on the circumference of a thin massless disc of radius α that rotates with a constant angular velocity ω about its central axis as shown in Figure. Find the equation of motion of the mass m. Homework...
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    Solve Lagrange's Mechanics Homework on Projectiles in Gravity

    Homework Statement Find the differential equations of motion of a projectile in a uniform gravitational field without air resistance. Homework Equations For the motion of a projectile, in horizontal, sx = ux t in vertical, sy = uy t + 1/2 gt2 KE = 1/2 mv2 PE = mgh The Attempt at a Solution L...
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    General Motion of a particle in 3 dimensions

    Anyway thanks. I got the idea finally. In the beginning, I misunderstand where the particle goes ( in case, now I know it is just assumed by me ) Then I realize how the coordinate comes.
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    General Motion of a particle in 3 dimensions

    I just try to transform it into polar coordinate by r = ix + my Don't know whether it is correct or not
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    General Motion of a particle in 3 dimensions

    Homework Statement Particles of mud are thrown from the rim of a rolling wheel. If the forward speed of the wheel is v0, and the radius of the wheel is b, show that the greatest height above the ground that the mud can go is b + v02 / 2g + gb2/ 2v02 At what point on the rolling wheel does this...
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