Find the Moment or Center of Mass of the Wire $y = \sqrt { 36 - x ^ { 2 } }$

question 244

Multiple Choice

Find the moment or center of mass of the wire, as indicated.
-Find the center of mass of a wire that lies along the semicircle $y = \sqrt { 36 - x ^ { 2 } }$ if the density of the wire is $\delta =$ $| \cos \theta |$ .

• A) \(\bar { x } = 2 , \bar { y } = 2\)
• B) \(\bar { x } = 0 , \bar { y } = 3\)
• C) \(\bar { x } = 0 , \bar { y } = 2\)
• D) \(\bar { x } = 3 , \bar { y } = 3\)

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Definitions:

Annual Coupon Rate

The interest rate a bond pays its holder, expressed as a percentage of its face value and payable annually.

Bond

A fixed-income instrument that represents a loan made by an investor to a borrower, typically corporate or governmental, which includes terms regarding the interest rate and when the loaned funds (bond principal) must be paid back (maturity).

Effective EAR

The Effective Annual Rate is the actual return on an investment, taking into account the effect of compounding interest.

Par Value

The nominal or face value of a bond, stock, or coupon as stated by the issuer, which is often used to calculate interest payments.