Question

In: Physics

A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...

A mass weighing 16 pounds stretches a spring

8
3

feet. The mass is initially released from rest from a point 7 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to

1
2

the instantaneous velocity. Find the equation of motion

x(t)

if the mass is driven by an external force equal to

f(t) = 25 cos(3t).

(Use

g = 32 ft/s2

for the acceleration due to gravity.)

Solutions

Expert Solution

I hope you understood the problem and got your answers, If yes rate me!! or else comment for a better solutions.

genius_generous answered 2 years ago
Next > < Previous

Related Solutions

A) A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released...
A) A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 4 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass id riven by an external force equal to f(t) = 20 cos 3t use g=32 ft/s^2 for the acceleration due to...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released from rest from a point 7 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1 2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 25 cos 3t. (Use g = 32 ft/s2 for the...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released...
A mass weighing 16 pounds stretches a spring 8 3 feet. The mass is initially released from rest from a point 5 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1 2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s2 for the acceleration...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 3 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 10 cos(3t). (Use g = 32 ft/s2 for the acceleration due to...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 5 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s2 for the acceleration due to...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from...
A mass weighing 16 pounds stretches a spring 8/3 feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion x(t) if the mass is driven by an external force equal to f(t) = 20 cos(3t). (Use g = 32 ft/s2 for the acceleration due to...
A mass weighing 32 pounds stretches a spring 16 feet. The mass is initially released from...
A mass weighing 32 pounds stretches a spring 16 feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion if the mass is driven by an external force equal to f(t)=10cos(3t).
A mass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from...
A mass weighing 12 pounds stretches a spring 2 feet. The mass is initially released from a point 1 foot below equilibrium with an upward velocity of 4 ft/s. (a) Find the equation of motion (b) In correct units, what are the amplitude, period, and frequency of this simple harmonic motion? (c) What is the velocity of the mass at ? = 3? 16 seconds? (d) Find the first three times that the velocity is zero, expressed both in exact...
A mass weighing 8 pounds stretches a spring 1 foot. The mass is initially released from...
A mass weighing 8 pounds stretches a spring 1 foot. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 2 times the instantaneous velocity. Find the equation of motion (solve the IVP) if the mass is driven by an external force equal to f(t) = 5 cos(2t). Graph the solution. What part of the...
A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from...
A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a point 8 inches below the equilibrium position. (a) Find the position x of the mass at the times t = π/12, π/8, π/6, π/4, and 9π/32 s. (Use g = 32 ft/s2 for the acceleration due to gravity.) x(π/12) = −14​    ft x(π/8) = −.5    ft x(π/6) = −0.25    ft x(π/4) = 0.5    ft x(9π/32) = 0.35    ft (b) What is...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT