The Motion Is Simple Harmonic with Period T, Write an Equation

question 36

Multiple Choice

the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest
position after t seconds. Also assume that the positive direction of the motion is up.An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that
- $\mathrm { a } = 10 ; \quad \mathrm { T } = 3 \pi$ seconds

• A) \(\mathrm { d } = - 10 \cos \left( \frac { 2 } { 3 } \pi \mathrm { t } \right)\)
• B) \(d = - 10 \sin \left( \frac { 2 } { 3 } \pi t \right)\)
• C) \(d = - 10 \cos \left( \frac { 2 } { 3 } t \right)\)
• D) \(\mathrm { d } = - 3 \cos \left( \frac { 1 } { 5 } \mathrm { t } \right)\)

---

Definitions:

Frederic Bastiat

Frederic Bastiat was a 19th-century French economist and writer known for his advocacy of free markets, individual freedoms, and his critiques of socialism.

Balance-Of-Trade Deficit

A situation where a country's imports exceed its exports, leading to a negative balance in trade.

Coal

A fossil fuel used primarily for electricity generation and steel production, composed mostly of carbon.

Import Quotas

Import quotas are government-imposed limits on the quantity or value of goods that can be imported into a country, used to protect domestic industries and regulate international trade.