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Problem 5. (12 points) A mass of 5 kg stretches a spring 4 cm when hanged...
ro A mass of 5 kg stretches a spring 20 cm. The mass is acted on...
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...
A 2 kg mass is hung from a spring and stretches it 12 cm. The mass...
A 2 kg mass is hung from a spring and stretches it 12 cm. The mass is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 4 m/s. The mass is pulled down 7 cm below its equilibrium position and given an initial downward velocity of 10 cm/s. Find an initial value problem that models the displacement of the mass, measured in meters, from the equilibrium position.
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...
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...
A mass of 1.25 kg stretches a spring 0.08 mm. The mass is in a medium...
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 620 g stretches a spring 4 cm. If the spring-mass system is placed...
A mass of 620 g stretches a spring 4 cm. If the spring-mass system is placed in a medium that imparts a viscous force of 4 N when the speed of the mass is 9 cm/sec, find ?, the damping coefficient for this system. Use ?=9.8 m/sec2.
please solve both. thank you! A mass of 1.25 kg stretches a spring 0.06 m. The...
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...
ITEMS JIIMARY 3. < Previous Ne A mass of 10 kg stretches a spring 14 cm....
ITEMS JIIMARY 3. < Previous Ne A mass of 10 kg stretches a spring 14 cm. The mass is acted on by an external force of 4 sin(t/3) N and moves in a medium that imparts a viscous force of 3 N when the speed of the mass is 6 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 2 cm/s, determine the position u of the mass at any time t....
A 288-kg mass, when attached to the end of a spring hanging vertically, stretches the 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...
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...
why is my answer wrong? A mass weighting 0.5 kg stretches a spring 0.05 m. The...
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...
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...
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...
ITEMS JIIMARY 3. < Previous Ne A mass of 10 kg stretches a spring 14 cm. The mass is acted on by an external force of 4 sin(t/3) N and moves in a medium that imparts a viscous force of 3 N when the speed of the mass is 6 cm/s. If the mass is set in motion from its equilibrium position with an initial velocity of 2 cm/s, determine the position u of the mass at any time t....
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...
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
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