A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring feet. The ball is started in motion from the equilibrium on with a downward velocity of 4 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second). (t) be the displacement of the mass from equilibrium. Suppose that after t seconds the ball is u feet below its rest position. Find u (in feet) in terms of t. (Note he positive direction is down.) as the gravitational acceleration 32 feet per second per second. 4te^(-24t) would you characterize the damping in this mass-spring system? derdamped
A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring feet. The ball is started in motion from the equilibrium on with a downward velocity of 4 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second). (t) be the displacement of the mass from equilibrium. Suppose that after t seconds the ball is u feet below its rest position. Find u (in feet) in terms of t. (Note he positive direction is down.) as the gravitational acceleration 32 feet per second per second. 4te^(-24t) would you characterize the damping in this mass-spring system? derdamped
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A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring feet. The ball is started in motion from the equilibrium
position with a downward velocity of 4 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second).
Let u(t) be the displacement of the mass from equilibrium. Suppose that after t seconds the ball is u feet below its rest position. Find u (in feet) in terms of t. (Note
that the positive direction is down.)
Take as the gravitational acceleration 32 feet per second per second.
u = 4te^(-24t)
How would you characterize the damping in this mass-spring system?
underdamped
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