2. (10 points) An underdamped spring with an attached mass m is released from rest with...
A 3.33-kg mass attached to a spring with k = 151 N/m is oscillating in a vat of oil, which damps the oscillations. If the damping constant of the oil is b = 10.3 kg/s, how long will it take the amplitude of the oscillations to decrease to 1.70 % of its original value? What should the damping constant be to reduce the amplitude of the oscillations by 98.3 % in 1.30 s?
A spring with a force constant of 1.50 N/m is attached to a mass of 120g. The system has a damping constant of 0.0180 Ns/m. How long does it take the amplitude of the oscillations to decrease from 10.0 mm to 5.00 mm? Please show step by step work
When a 5 kg mass is attached to a spring whose constant is 45 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) 30e-3t cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t= 1. (b) what is the amplitude of vibrations after a very long time?
When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at t= 0, a force equal to f(t) = 12e-3t cos 6t is applied to the system. In the absence of damping, (a) find the position of the mass when t= 1. (b) what is the amplitude of vibrations after a very long time?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at 1 = 0, a force equal to f(t) = 30e-7t cos 6t is applied to the system. In the absence of damping. (a) find the position of the mass when t=1. (b) what is the amplitude of vibrations after a very long time?
: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. Starting at i=0, a force equal to f(t) = 15e-54 cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=n. (b) what is the amplitude of vibrations after a very long time?
: When a 3 kg mass is attached to a spring whose constant is 12 N/m, it comes to rest in the equilibrium position. Starting at i=0, a force equal to f(t) = 15e-54 cos 4t is applied to the system. In the absence of damping, (a) find the position of the mass when t=n. (b) what is the amplitude of vibrations after a very long time?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at i = 0, a force equal to f(0) = 30e-7t cos 6t is applied to the system. In the absence of damping, (a) find the position of the mass when t= 1. (b) what is the amplitude of vibrations after a very long time?
When a 6 kg mass is attached to a spring whose constant is 54 N/m, it comes to rest in the equilibrium position. Starting at i = 0, a force equal to f(0) = 30e-7t cos 6t is applied to the system. In the absence of damping, (a) find the position of the mass when t= 1. (b) what is the amplitude of vibrations after a very long time?
A horizontal spring of spring constant k = 125N/m is resting at its equilibrium length. One end of the spring is attached to a wall, and the other end is attached to a mass M = 200g. The whole system is immersed in a viscous fluid with linear drag coefficient b = 0.1 kg/s. The mass is pulled 10cm from its equilibrium position and released from rest. (a) (0.5 pt) What would be the oscillation period if the system were...