A 2-Pound Weight Is Hung on a Spring and Stretches $x ( t )$

question 46

Multiple Choice

A 2-pound weight is hung on a spring and stretches it 1/2 foot. The mass spring system is then put into motion in a medium offering a damping force numerically equal to the velocity. If the mass is pulled down 4 inches from equilibrium and released, the initial value problem describing the position, $x ( t )$ , of the mass at time $t$ is

• A) \(x ^ { \prime \prime } - 16 x ^ { t } + 64 x = 0 , x ( 0 ) = 4 , x ^ { \prime } ( 0 ) = 0\)
• B) \(x ^ { \prime \prime } + 16 x ^ { t } + 64 x = 0 , x ( 0 ) = 4 , x ^ { \prime } ( 0 ) = 0\)
• C) \(x ^ { \prime \prime } - 16 x ^ { \prime } + 64 x = 0 , x ( 0 ) = 1 / 3 , x ^ { \prime } ( 0 ) = 0\)
• D) \(x ^ { \prime \prime } + 16 x ^ { \prime } + 64 x = 0 , x ( 0 ) = 1 / 3 , x ^ { \prime } ( 0 ) = 0\)
• E) \(x ^ { \prime \prime } + 64 x = 16 , x ( 0 ) = 1 / 3 , x ^ { \prime } ( 0 ) = 0\)

---

Definitions:

Self-employed Individuals

Persons who operate their own business or work for themselves, rather than being employed by a company or another individual.

Temporary Agency

A Temporary Agency is an employment agency that connects job seekers with short-term employment opportunities, often serving as a bridge to permanent employment.

Human Resource Information System

A digital solution for managing and optimizing the daily human resources tasks and overall HR goals of an organization.

Benefits

A range of perks, such as health insurance and retirement plans, provided by employers to employees beyond their salaries.