Particles of mass m are introduced at t=0 with very small initial velocity into a field that exerts on them the force Fo sin wt. (Note that, in the absence of the external force, the particles are free and would not oscillate. This is like a mass on a spring but without the spring.) Find the velocity of the particles after time t. What is the time-averaged speed of the particles? At what distance from the source does the velocity reach its maximum value? Sketch the position of the particles x(t) and their speed v(t). Repeat for when the particles are introduced at time t = .
Particles of mass m are introduced at t=0 with very small initial velocity into a field that exerts on them the force Fo sin wt. (Note that, in the absence of the external force, the particles are free and would not oscillate. This is like a mass on a spring but without the spring.) Find the velocity of the particles after time t. What is the time-averaged speed of the particles? At what distance from the source does the velocity reach its maximum value? Sketch the position of the particles x(t) and their speed v(t). Repeat for when the particles are introduced at time t = .
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Transcribed Image Text:Particles of mass m are introduced at t=0 with very small initial velocity into a field that exerts on them the force
Fo sin wt. (Note that, in the absence of the external force, the particles are free and would not oscillate. This is like a
mass on a spring but without the spring.) Find the velocity of the particles after time t. What is the time-averaged speed
of the particles? At what distance from the source does the velocity reach its maximum value? Sketch the position of
the particles x(t) and their speed v(t). Repeat for when the particles are introduced at time t = .
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