QTest #10-solutions

# QTest #10-solutions - Version 023/AABBD – QTest#10 –...

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Unformatted text preview: Version 023/AABBD – QTest #10 – Antoniewicz – (57420) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 5.0 points Note: The argument of the sine function is given here in radians rather than degrees. A body oscillates with simple harmonic mo- tion along the x-axis. Its displacement varies with time according to the equation, x ( t ) = A sin( ω t + φ ) . If A = 5 . 2 m, ω = 3 rad / s, and φ = 1 . 0472 rad, what is the acceleration of the body at t = 3 s? 1. 45.7734 2. 15.1894 3. 25.0418 4. -48.1669 5. 22.2896 6. 22.9829 7. -39.4724 8. 27.2845 9. 12.5462 10. -24.7271 Correct answer: 27 . 2845 m / s 2 . Explanation: x = A sin( ω t + φ ) v = d x dt = ω A cos( ω t + φ ) a = d v dt =- ω 2 A sin( ω t + φ ) The basic concepts above are enough to solve the problem. Just use the formula for a ob- tained by differentiating x twice a =- ω 2 A sin( ω t + φ ) = 27 .....
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QTest #10-solutions - Version 023/AABBD – QTest#10 –...

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