21-25 Answer all please. Just give the answer. No need for lengthy solutions or explanations.
Posted: Thu Jun 09, 2022 3:02 pm
21-25
Answer all please. Just give the answer. No need for lengthy
solutions or explanations.
Question 21 The correct form of the PATH EQUATION is given by Note: p = 1/r m ○df + p = f ( ² ) ² = ○f + p = -f( ² ) 1²/² ○df + p = -f(p) ² m 0² L² ○df + p = f ( ² ) 1²/² m ○de + p = -1 ( ² ) L² p² Question 22 1 pts All BOUNDED orbits are CLOSED in which of the following force laws? linear restoring and simple harmonic only simple harmonic only inverse square only linear restoring only linear restoring and inverse square only Question 23 1 pts Which of the following cannot be an orbit for an ATTRACTIVE inverse square field? ellipse far-branch of hyperbola circle near-branch of hyperbola parabola 1 pts
Question 24 The phase path of a plane autonomous system can be a closed orbit in a bounded or unbounded domain of phase plane can tend to a limit cycle (or a degenerate limit cycle) if the domain is bounded can tend to a limit cycle (or a degenerate limit cycle) as t → ∞ in any domain of phase plane cannot terminate at an equilibrium point if the domain is bounded can terminate at an equilibrium point as t → ∞ in any domain of phase plane Question 25 1 pts Which of the following is FALSE about the phase diagram of the following system? x = -x + y y = -x - y The phase paths are circles centered at the origin. Every phase path terminates at the origin. Every phase path encircles the origin. The is only one equilibrium point. Every phase path terminates is directed in the clockwise direction. 1 pts
Answer all please. Just give the answer. No need for lengthy
solutions or explanations.
Question 21 The correct form of the PATH EQUATION is given by Note: p = 1/r m ○df + p = f ( ² ) ² = ○f + p = -f( ² ) 1²/² ○df + p = -f(p) ² m 0² L² ○df + p = f ( ² ) 1²/² m ○de + p = -1 ( ² ) L² p² Question 22 1 pts All BOUNDED orbits are CLOSED in which of the following force laws? linear restoring and simple harmonic only simple harmonic only inverse square only linear restoring only linear restoring and inverse square only Question 23 1 pts Which of the following cannot be an orbit for an ATTRACTIVE inverse square field? ellipse far-branch of hyperbola circle near-branch of hyperbola parabola 1 pts
Question 24 The phase path of a plane autonomous system can be a closed orbit in a bounded or unbounded domain of phase plane can tend to a limit cycle (or a degenerate limit cycle) if the domain is bounded can tend to a limit cycle (or a degenerate limit cycle) as t → ∞ in any domain of phase plane cannot terminate at an equilibrium point if the domain is bounded can terminate at an equilibrium point as t → ∞ in any domain of phase plane Question 25 1 pts Which of the following is FALSE about the phase diagram of the following system? x = -x + y y = -x - y The phase paths are circles centered at the origin. Every phase path terminates at the origin. Every phase path encircles the origin. The is only one equilibrium point. Every phase path terminates is directed in the clockwise direction. 1 pts