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.
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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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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