Question

Problem 15.16 A240 g mass attached to a horizontal spring oscillates at a frequency of 5.50 Hz. Att 08, the mass is at z 6.00 cm and has 41.0 cm/s Determine: Express your answer to three significant figures and include the appropriate units. 0.536 J Submit My Answers Give Up Correct Part H The position a t 4.40 s Express your answer to three significant figures and include the appropriate units. 0.061 m Submit My Answers Give up Incorrect; Try Again; 4 attempts remaining

I only need the answer for Part H. A= 6.12 x10^-2 m. w= 34.6. Phase constant = 0.195. The answer is not -0.0041 m or 0.061 m. I tried to use x(t)=Acos(wt+ phase constant) and x(t)=Asin(wt+ phase constant) but they are wrong.

Answer 1

Amplitude, A = 6.12 times 10^-2 m. w = 2 pi f = 2 times 3.14 times 5.5. or, w = 34.54 rad/s at t = 0, x = 6 cm. So, phase constant is, phi = sin^-1 (6.00/6.12) or, phi = 78.635 So, position at t = 4.4 sec is, x = A sin (wt - phi) x = (6.12) sin [34.54 times 4.4 - 78.54] or, x = 5.866 cm. or, x = 0.05866 m