The X-Component of Motion of an Object Is Given by X(t)

question 4

Multiple Choice

The x-component of motion of an object is given by x(t) = A_xcos(ω_xt + φ_x) and the y-component of motion of the object is given by y(t) = A_ycos(ω_yt + φ_y) . What relationships between the A,ω, and φ parameters must be true so that the motion of the object is on a circle?

• A)A_x = A_y, ω_x = ω_y, and φ_x = φ_y
• B)A_x = ±A_y, ω_x = ±ω_y
• C)A_x = ±A_y, ω_x = ω_y, and φ_x = φ_y ± π/2
• D)A_x = A_y, ω_x = ±ω_y, and φ_x = φ_y
• E)A_x = ±A_y, ω_x = ±ω_y, and φ_x = φ_y ± π/2

---

Definitions:

Credit Clause

This term does not directly correspond to a widely recognized legal or constitutional provision as described, but it might be confused with the Full Faith and Credit Clause, which requires states to respect the public acts, records, and judicial proceedings of other states.

Civil Acts

Laws enacted to guarantee and protect the civil rights of citizens.

Judicial Decisions

Rulings and opinions issued by courts in the legal process, which interpret laws, settle disputes, and establish precedents for future cases.

UN Security Council

One of the six principal organs of the United Nations, responsible for maintaining international peace and security, with the power to make decisions that member states must implement.