For this problem, l'd like you to numerically compute the trajectory of a two-particle system by applying Newton's laws of motion. The particles have mass mi = m and m2 = 2m. They are connected via a spring of spring constant k with vanishing equilibrium separation. Particle 1 begins from rest at the origin. Particle 2 is a distance a above particle 1 (on the y-axis). Defining wo = V, let particle 2's initial velocity be aw, directed 45° above the horizontal. Given this data, plot the trajectory of these two particles moving under the influence of the gravitational force.

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For this problem, l'd like you to numerically compute the trajectory of a two-particle system by applying
Newton's laws of motion. The particles have mass m1 = m and m2 = 2m. They are connected via a spring of
spring constant k with vanishing equilibrium separation. Particle 1 begins from rest at the origin. Particle 2 is a
distance a above particle 1 (on the y-axis). Defining wo = V, let particle 2's initial velocity be awo directed
45° above the horizontal.
Given this data, plot the trajectory of these two particles moving under the influence of the gravitational force.
Transcribed Image Text:For this problem, l'd like you to numerically compute the trajectory of a two-particle system by applying Newton's laws of motion. The particles have mass m1 = m and m2 = 2m. They are connected via a spring of spring constant k with vanishing equilibrium separation. Particle 1 begins from rest at the origin. Particle 2 is a distance a above particle 1 (on the y-axis). Defining wo = V, let particle 2's initial velocity be awo directed 45° above the horizontal. Given this data, plot the trajectory of these two particles moving under the influence of the gravitational force.
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