A Spring with A $16$ -Kg Mass Has Natural Length $0.8$ M and Is Maintained Stretched to a Length Of

question 1

Multiple Choice

A spring with a $16$ -kg mass has natural length $0.8$ m and is maintained stretched to a length of $1.2$ m by a force of $19.6$ N. If the spring is compressed to a length of $0.4$ m and then released with zero velocity, find the position $x ( t )$ of the mass at any time $t$ .

• A) \(x ( t ) = - 0.4 e ^ { - 4 t } \cos ( 0.4 t )\)
• B) \(x ( t ) = 0.8 \sin ( 1.75 t )\)
• C) \(x ( t ) = - 0.4 e ^ { - 4 t } \cos ( 1.75 t )\)
• D) \(x ( t ) = - 0.4 \cos ( 1.75 t ) + 0.4 \sin ( 1.75 t )\)
• E) \(x ( t ) = - 0.4 \cos ( 1.75 t )\)

---

Definitions:

Storeroom

A room or space used to store supplies, materials, and equipment awaiting use in production or operations.

Overapplied Manufacturing Overhead

This occurs when the manufacturing overhead allocated to products exceeds the actual manufacturing overhead costs incurred.

Manufacturing Overhead

All indirect costs associated with the manufacturing process, including maintenance, utilities, and quality control, that cannot be directly traced to specific products.

Job-Order Costing

A cost accounting system that assigns costs to specific production batches or jobs, rather than to an entire production process.