A body weighing 10 pounds forces hangs from a spring with constant 4/5 lb / ft....

A body weighing 10 pounds forces hangs from a spring with constant 4/5 lb / ft. The medium where the body moves it offers a resistance force to movement that is numerically equal to its instantaneous speed. If the weight is released 5/3 feet above your balance position with a downward speed of 6 feet per second, determine the position the lower the object reaches. Consider negative downward and positive upward magnitudes

Expert Solution

genius_generous answered 1 year ago

A body weighing 2 pounds forces hangs from a spring with constant 4 lb / ft....

A body weighing 2 pounds forces hangs from a spring with constant 4 lb / ft. The medium in which the body moves offers a resistance force to movement that is numerically equal to its instantaneous speed. If the weight is released 1/3 feet above its balance position with a downward speed of 9 feet per second, determine the speed at which time it passes through the balance position. Consider negative downward and positive upward magnitudes.

A body weighing 128 pounds hangs from a spring with constant 1400 lb/ft. The medium, where...

A body weighing 128 pounds hangs from a spring with constant 1400 lb/ft. The medium, where the body moves, offers a force of opposition to the movement numerically equal to 15 for its instantaneous speed. If the weight is released 2 feet above its balance position, say how fast it should be initially pushed so that after 6 seconds it reaches the lower limit position. Take the constant of gravity as 32 ft/sec^2.

1. A 10 ft chain weighs 25 lb and hangs from a ceiling with a 5...

1. A 10 ft chain weighs 25 lb and hangs from a ceiling with a 5 lb weight attached to the end. Find the wok done lifting the lower end of the chain and the weight to the ceiling so that they are level with the upper end. 2. Use the method of cylindrical shells to find the volume formula for a sphere with radius r. (in our example we used the disk method. You formula should be the same,...

A mass weighing 4 pounds stretches a spring 4/3 ft. The entire system is immersed in...

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A 128-lb weight is attached to a spring having a spring constant of 64 lb/ft. The weight is started in motion with no initial velocity by displacing it 6 in below the equilibrium position and by simultaneously applying an external force F(t) = 8sin(4t). a. Assuming no air resistance, find the equation of motion. b. What is the long term behavior of the motion? Please use differential equations to solve this

A body weighing 9.25 grams force hangs from a spring stretching 1.4 centimeters. Initially the body...

A body weighing 9.25 grams force hangs from a spring stretching 1.4 centimeters. Initially the body part of rest 2.6 centimeters below its position balance. The medium where the body moves offers a resistance force to movement that is numerically equal to 1/2 of its instantaneous speed. Knowing that there is an external force, changing in time, that It is defined by the formula: f (t) = cos (t) grams force. Find the position in centimeters of the body after...

A body weighing 9.25 grams force hangs from a spring stretching it 1.4 centimeters. Initially the...

A body weighing 9.25 grams force hangs from a spring stretching it 1.4 centimeters. Initially the body part of rest 2.6 centimeters below its equilibrium position. The medium where the body moves offers a force of resistance to movement that is numerically equal to 1/2 of its instantaneous speed. Knowing that there is a force external, changing in time, which is defined by the formula: f (t) = cos (t) grams strength. Find the position in centimeters of the body...

(1 point) A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches...

(1 point) A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring 1/6 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) . Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note...

A spring with spring constant 14 N/m hangs from the ceiling. A ball is attached to...

A spring with spring constant 14 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 7.0 cm and released. The ball makes 29 oscillations in 25 s seconds. a) What is its the mass of the ball? b) What is its maximum speed?

A spring with spring constant 20 N/m hangs from the ceiling. A ball is attached to...

A spring with spring constant 20 N/m hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 8.5 cm and released. The ball makes 28 oscillations in 18 s seconds. A) What is its the mass of the ball? B) What is its maximum speed?

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