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...
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 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...
Differential Equation problem A mass of 0.25kg stretches a spring 0.1m. The mass is in a medium that exerts a viscous resistance of 14N when the mass has a velocity of 4m/s. The viscous resistance is proportional to the speed of the object. Suppose the object is displaced an additional 0.08m 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...
please solve both. thank you! A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 56 N when the mass has a velocity of 2 . 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 object's displacement from the spring's equilibrium position, in m after t seconds. Let positive...
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.
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
I need the correct u(t). Ibs stretches a spring 4 inches what is the spring constant? If the mass has a velocity of 6 ft/sec and this results in a viscous resistance of 117 lbs what is the damping coefficient? If a mass weighing Assume 32lb = 1 slug Preview slugs a. What is the mass of the object? 15 lb sec b. What is the damping coefficient? c19s . What is the spring constant? k = 144 ft n...
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...
why is my answer wrong? A mass weighting 0.5 kg stretches a spring 0.05 m. The mass is in a medium that exerts a viscous resistance of A N when the mass has a velocity of 4 m S This system will be overdamped if A> 80 Preview 80 N
ro A mass of 5 kg stretches a spring 20 cm. The mass is acted on by an external force of 10 sin N (newtons) and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 2 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 9 cm/s, formulate the initial value problem describing the motion of the mass. (Use g = 9.8...