u(x)=-x^3+4x^2. At the initial moment of time a body of mass 2g starts out from the point x_0 at a velocity of v_0 (cm/sec): (a) x_0=1,v_0=1, (b) x_0=-2,v_0=1, (c) x_0=-2,v_0=-1. In each case investigate the nature of the motion (points at which the body stops, regions which the body cannot reach). In the case of stopping points, give at least a rough idea of their coordinates.
u(x)=-x^3+4x^2. At the initial moment of time a body of mass 2g starts out from the point x_0 at a velocity of v_0 (cm/sec): (a) x_0=1,v_0=1, (b) x_0=-2,v_0=1, (c) x_0=-2,v_0=-1. In each case investigate the nature of the motion (points at which the body stops, regions which the body cannot reach). In the case of stopping points, give at least a rough idea of their coordinates.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.60P
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u(x)=-x^3+4x^2. At the initial moment of time a body of mass 2g starts out from the point x_0 at a velocity of v_0 (cm/sec): (a) x_0=1,v_0=1, (b) x_0=-2,v_0=1, (c) x_0=-2,v_0=-1. In each case investigate the nature of the motion (points at which the body stops, regions which the body cannot reach). In the case of stopping points, give at least a rough idea of their coordinates.
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