Amass weighing 6 pounds stretches a spring 2 feet. the mass is attached to a dashpot device that offers a damping force numerically equal to β (β > 0) times the instantaneous velocity. determine the values of the damping constant β so that the subsequent motion is overdamped, critically damped, and underdamped. (if an answer is an interval, use interval notation. use g = 32 ft/s2 for the acceleration due to gravity.) (a) overdamped

Answer with Step-by-step explanation:

Let m be the mass attached and k be the spring constant and be the positive  damping constant.The Newton's second law for the system is given by

Where x(t) is the displacement from the equilibrium position.

The equation can be written as

Weight=W=6 lb

s=2 feet

a.The motion is overdamped when or

b.The motion is crirtically damped when   or

c. The motion is underdamped when   or

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.