Question

A mass of 1 slug, when attached to a spring, stretches it 2 feet and then comes to rest in the equilibrium position. Starting at t = 0, an external force equal to f(t) = 10 sin(4t).

Answer 1

The subject of this question is Physics and the grade level is High School. Based on the information provided, we can determine the equations of motion for the mass attached to the spring. To find the position, velocity, and acceleration of the mass at time t = 3.00 s, we would need more information about the function f(t).

Step-by-step explanation:

The subject of this question is Physics and the grade level is High School.

Based on the information provided, we can determine the equations of motion for the mass attached to the spring.

With a mass of 1 slug and a spring stretch of 2 feet, the motion of the mass can be described by the following equation:

m * a = -k * x + f(t)

Where m is the mass, a is the acceleration, k is the spring constant, x is the displacement, and f(t) is the external force.

To find the position, velocity, and acceleration of the mass at time t = 3.00 s, we would need more information about the function f(t).