A 6-kilogram object stretches a spring 6 centimeters while in equilibrium. The object is acted upon by an external force of 10 cos Newtons, and moves in a medium that imparts a viscous force of 1.6 Newtons when the speed of the mass is 3.6 centimeters per second. The object is set into motion from its equilibrium position with an initial velocity of 2.9 centimeters per second. Identify the parameters A, B, C, D, E, and F so that this spring-mass system is described by the following initial value problem:

Round all numerical values to the nearest hundredth, if needed.

Question

A 6-kilogram object stretches a spring 6 centimeters while in equilibrium. The object is acted upon by an external force of 10 cos  Newtons, and moves in a medium that imparts a viscous force of 1.6 Newtons when the speed of the mass is 3.6 centimeters per second. The object is set into motion from its equilibrium position with an initial velocity of 2.9 centimeters per second. Identify the parameters A, B, C, D, E, and F so that this spring-mass system is described by the following initial value problem:
  
Round all numerical values to the nearest hundredth, if needed.

Quizplus · Accepted Answer

The Answer of A 6-kilogram object stretches a spring 6 centimeters while in equilibrium. The object is acted upon by an external force of 10 cos  Newtons, and moves in a medium that imparts a viscous force of 1.6 Newtons when the speed of the mass is 3.6 centimeters per second. The object is set into motion from its equilibrium position with an initial velocity of 2.9 centimeters per second. Identify the parameters A, B, C, D, E, and F so that this spring-mass system is described by the following initial value problem:
  
Round all numerical values to the nearest hundredth, if needed.

A 6-Kilogram Object Stretches a Spring 6 Centimeters While in Equilibrium