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1) A body with mass m = 1/2 kg is attached to the end of a spring that is strech

ID: 2903112 • Letter: 1

Question

1) A body with mass m = 1/2 kg is attached to the end of a spring that is streched 2 meters (m) by a force of 100 newtons (N). it is set in motion with initial position X0= 1 m and initial velocity V0= -5 m/s. (note that these initial conditions indicate that the body is displaced to the right and is moving to the left at time t = 0.) find the position of the body as well as the amplitude, frequency, period of oscillation, and time of lag motion.

1) A body with mass m = 1/2 kg is attached to the end of a spring that is streched 2 meters (m) by a force of 100 newtons (N). it is set in motion with initial position X0= 1 m and initial velocity V0= -5 m/s. (note that these initial conditions indicate that the body is displaced to the right and is moving to the left at time t = 0.) find the position of the body as well as the amplitude, frequency, period of oscillation, and time of lag motion. 2) redo problem #1 with the mass and the spring attached to a dashpot 1n of resistance for each meter per second of velocity. The mass is set in motion with the same initial position x(0) = 1 and initial velocity {x}'(0) = -5 like in #1. now find the position function of the mass, its new frequency and pseudoperiod of motion, its new time lag, and the first four passages through the initial position x = 0.

Explanation / Answer

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