Homework Answers
A mass weighing 32 pounds is attached to the lower end of a coil spring. It...
A mass weighing 32 pounds is attached to the lower end of a coil spring. It stretches the spring by 1 foot and comes to rest at equilibrium position. At time t = 0, the mass is pulled downward 1 foot, and released. Suppose the damping is equivalent to 8x' pounds and no external forces are present. Find the displacement of the mass at time t, and write your final answer in phase-amplitude form.
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...
A 2kg mass is suspended vertically from a spring attached to a fixed support. The spring...
A 2kg mass is suspended vertically from a spring attached to a fixed support. The spring satisfies Hooke's law with a spring constant of k 18 N m1. No damping is present. Gravity acts on the mass with a gravitational constant of g 10 m s2. An external force of R 24 sin (wt) Newton is applied to the mass, directed downwards, where t is the time in seconds since the mass was set in motion and w is a...
1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is a...
Differntial Equations Forced Spring Motion
1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is attached to a machine that supplies an external driving force of f(t) = 4 cos(wt). The systern is started from equilibrium i.e. 2(0) = 0 and z'(0) = 0. There is no damping. (a) Find the position x(t) of the mass as a function of time (b) write your answer in the form r(t)-1 sin(6t)...
Help with these 2 questions An object of mass 0.67 kg is attached to a spring...
Help with these 2 questions
An object of mass 0.67 kg is attached to a spring with spring onstant 15 N/m. If the object is pulled 14 cm from the equilibrium position and released. What is the maximum speed of the object? The displacement of an object is given by y (4.7 cm) sin 20T. What are the object's (a) amplitude, (b) frequency, and (o) period of oscillation?
A spring with a mass on the end of it hangs in equilibrium a distance of 0.4200m above the floor. The mas is pulled dow...
A spring with a mass on the end of it hangs in equilibrium a distance of 0.4200m above the floor. The mas is pulled down a distance of 0.0600m below the original position, released, and allowed to oscillate. How high above the floor is the mass at the highest point in its oscillation? Show work.
(a) A mass weighing w pounds stretches a spring spring as shown in the figure below foot and stre...
(a) A mass weighing w pounds stretches a spring spring as shown in the figure below foot and stretches a different spring foot. The two springs are attached in series and the mass is then attached to the double rigid support Assume that the motion is free and that there is no damping force present. Determine the equation of motion if the mass is initially released at a point 1 foot below the equilibrium position with a downward veloity of's...
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...
A spring-mass system has a
spring constant of 3 N/m. A mass of 2 kg is attached to the spring,
and the motion takes place in a viscous fluid that offers a
resistance numerically equal to the magnitude of the instantaneous
velocity. If the system is driven by an external force of (27 cos
3t − 18 sin 3t) N, determine the steady state response. Express
your answer in the form R cos(ωt − δ). (Let u(t) be the
displacement...
(5 points) Suppose a spring with spring constant 6 N/m is horizontal and has one end...
(5 points) Suppose a spring with spring constant 6 N/m is horizontal and has one end attached to a wall and the other end attached to a 2 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 1 N.: ·s/m. a. Set up a differential equation that describes this system. Let x to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of...
Please solve the problem below. I would really like to see work shown so I can understand the concepts and the things I...
Please solve the problem below. I would really like to see work
shown so I can understand the concepts and the things I am doing
incorrectly.
|(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 8 cm/s. If the mass is set...
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 2kg mass is suspended vertically from a spring attached to a fixed support. The spring satisfies Hooke's law with a spring constant of k 18 N m1. No damping is present. Gravity acts on the mass with a gravitational constant of g 10 m s2. An external force of R 24 sin (wt) Newton is applied to the mass, directed downwards, where t is the time in seconds since the mass was set in motion and w is a...
Differntial Equations Forced Spring Motion
1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is attached to a machine that supplies an external driving force of f(t) = 4 cos(wt). The systern is started from equilibrium i.e. 2(0) = 0 and z'(0) = 0. There is no damping. (a) Find the position x(t) of the mass as a function of time (b) write your answer in the form r(t)-1 sin(6t)...
Help with these 2 questions
An object of mass 0.67 kg is attached to a spring with spring onstant 15 N/m. If the object is pulled 14 cm from the equilibrium position and released. What is the maximum speed of the object? The displacement of an object is given by y (4.7 cm) sin 20T. What are the object's (a) amplitude, (b) frequency, and (o) period of oscillation?
(a) A mass weighing w pounds stretches a spring spring as shown in the figure below foot and stretches a different spring foot. The two springs are attached in series and the mass is then attached to the double rigid support Assume that the motion is free and that there is no damping force present. Determine the equation of motion if the mass is initially released at a point 1 foot below the equilibrium position with a downward veloity of's...
A spring-mass system has a
spring constant of 3 N/m. A mass of 2 kg is attached to the spring,
and the motion takes place in a viscous fluid that offers a
resistance numerically equal to the magnitude of the instantaneous
velocity. If the system is driven by an external force of (27 cos
3t − 18 sin 3t) N, determine the steady state response. Express
your answer in the form R cos(ωt − δ). (Let u(t) be the
displacement...
(5 points) Suppose a spring with spring constant 6 N/m is horizontal and has one end attached to a wall and the other end attached to a 2 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 1 N.: ·s/m. a. Set up a differential equation that describes this system. Let x to denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of...
Please solve the problem below. I would really like to see work
shown so I can understand the concepts and the things I am doing
incorrectly.
|(1 point) A mass of 4 kg stretches a spring 40 cm. The mass is acted on by an external force of F(t) = 97 cos(0.5t) N and moves in a medium that imparts a viscous force of 4 N when the speed of the mass is 8 cm/s. If the mass is set...
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