why is my answer wrong? A mass weighting 0.5 kg stretches a spring 0.05 m. The...
A mass weighting 0.5 kgkg stretches a spring 0.05 mm. The mass is in a medium that exerts a viscous resistance of A NN when the mass has a velocity of 4 msms. This system will be overdamped if
A mass weighting 32 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 24 lbs when the mass has a velocity of 2 ft/sec. Suppose the object is displaced an additional 8 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds.
helpful formulas: mu’’(t)+cu’(t)+ku(t)=0 m is the mass c is the damping coefficiant k is spring constant Fd=cu’(t) k=mg/(spring displacement) A mass of 1.5 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous resistance of 25 N when the mass has a velocity of 2 m. The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the...
Questions Q1 (0/T0) Q2 (0/10) Q3 (0/10) Q4 (0/10) Q5 (0/10) Q6 (0/10) A mass weighting 8 lbs stretches a spring 9 inches. The mass the mass has a velocity of 6 ft/sec. is in a medium that exerts a viscous resistance of A lbs when This system will be overdamped if A> Preview lbs Get help: Video Grade: 0/60 License Points possible: 10 This is attempt 1 of 2. Message instructor about this question Print Version AAA A Questions...
A mass weighting 64 lbs stretches a spring 8 inches. The mass is in a medium that exerts a viscous resistance of 14 lbs when the mass has a velocity of 4 ft/sec. Suppose the object is displaced an additional 6 inches and released. Find an equation for the object's displacement, u(t), in feet after t seconds. u(t) = e *'(ä сos (8.71977t) +.0167 sin(8.719771)) x cm
A mass of 1.25 kg stretches a spring 0.08 mm. The mass is in a medium that exerts a viscous resistance of 120 NN when the mass has a velocity of 6 msms. The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.07 mm and released. Find an function to express the object's displacement from the spring's equilibrium position, in mm after tt seconds. Let positive displacements indicate a stretched spring,...
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 8 m. The mass is in a medium that exerts a viscous resistance of 576 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 18 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7= c) If the initial value...
A 189-kg mass, when attached to the end of a spring hanging vertically, stretches the spring 9 m. The mass is in a medium that exerts a viscous resistance of 3024 N when the mass has a velocity of 4 m/sec. Assume the mass is given an initial velocity of 14 m/s from the equilibrium position. a) Determine the spring constant k. Use g = 10 m/sec. k b) Determine the damping coeffient 7. 7 c) If the initial value...
Problem 5. (12 points) A mass of 5 kg stretches a spring 4 cm when hanged vertically. Suppose that the mass is given an addition 6 cm displacement downward and then released (at time 0), and an external force of 4-3 cos(t) N at all time (starting at time 0). In addition, suppose that the mass is in a medium that exerts viscous resistance of 3 N when the mass has a velocity of 0.4 m/s. Assume acceleration due to...
A mass of 1.25kg stretches a spring 0.05m. The mass is in a medium that exerts a viscous resistance of 192N when the mass has a velocity of 6m/s. The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.06m and released. Find a function u(t) to express the object's displacement from the spring's natural position, in m after t seconds. Let positive displacements indicate a stretched spring, and use 9.8m/s^2 as...