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10 Nov 2019
I have already solved for a-c and will provide the answersbelow
a) k=50N/m
b) w=5Hz
c)x(t)=.98cos(5t)-(.10/5)sin(5t)
I need help trying to solve for d
I then do not unnderstand how to exactly apply this question tothe this one above
A mass of 5 kilograms stretches an undamped spring by 98 centimeters. Find the value of the spring constant k using its correct metric unit. Find the angular frequency omega of free oscillations of the spring/mass-system. Find the equation of motion if the mass is released from rest at a position 10 centimeters above the equilibrium. Assume here that the positive x-direction is oriented downwards. Find the first positive time at which the mass passes through the equilibrium position. Suppose that a damping force is added to the spring-mass system in Problem 4 which is proportional to the instantaneous velocity with damping coefficient Beta = 20 kg/sec. Does the resulting system become underdamped, critically damped, or overdamped? Justify your answer.
I have already solved for a-c and will provide the answersbelow
a) k=50N/m
b) w=5Hz
c)x(t)=.98cos(5t)-(.10/5)sin(5t)
I need help trying to solve for d
I then do not unnderstand how to exactly apply this question tothe this one above
A mass of 5 kilograms stretches an undamped spring by 98 centimeters. Find the value of the spring constant k using its correct metric unit. Find the angular frequency omega of free oscillations of the spring/mass-system. Find the equation of motion if the mass is released from rest at a position 10 centimeters above the equilibrium. Assume here that the positive x-direction is oriented downwards. Find the first positive time at which the mass passes through the equilibrium position. Suppose that a damping force is added to the spring-mass system in Problem 4 which is proportional to the instantaneous velocity with damping coefficient Beta = 20 kg/sec. Does the resulting system become underdamped, critically damped, or overdamped? Justify your answer.