Starting from rest at time (t=0) and at altitude (h_{0}), a block of mass (M) slides down

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Starting from rest at time $t=0$ and at altitude $h_{0}$, a block of mass $M$ slides down a frictionless plane inclined at angle $\alpha$ to the horizontal. There is a uniform gravitational field $g$ directed vertically downward.

(a) Write the Hamilton-Jacobi equation for the block.

(b) Solve the equation to find Hamilton's principal function $S$.

(c) Find the equation of motion $s(t)$ for the block, where $s$ is the distance along the incline, measured from the top of the incline.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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Question Posted: Mar 21, 2024 12:01 AM

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Starting from rest at time (t=0) and at altitude (h_{0}), a block of mass (M) slides down

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Modern Classical Mechanics

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