Question

D) (1.e., find M and 8). 6-30. A pair of springs and masses vibrate under simple harmonic motion, as shown in Fig. P6.30. The positions of the masses in inches are given by yı(t) = 5 V2cos (2 tt + ) and y2(t) = 10 cos(2 nt), where i is in seconds. (a) Write down the amplitude, fre- quency (in Hz), period (in seconds), phase shift (in degrees), and time shift (in seconds) of the position of the first mass yı(t). (b) Plot one cycle of the position yı(t), and indicate the earliest time after t = 0 when the position is zero. (c) The vertical distance between the two masses is given by 8(t) = yı(t) – yz(t). Write 8(t) in the form 8(t) = Msin(2 nt + 0°); in other words, find M and 0.

Answer 1

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=108 c03 (2016-ent) = 605 2014] = lo[te c05 244- Ve Sinzata de cos zut] :: los( m-(B)2 COSA.COSB- sinA.sinB 3.5 pros 2nf + sinent] no (O3 264.costs +5 in 2017. sint] shop 0924** *) s sin ( +244) . scy (240 ) SCH Sin (2914+15°)] / 24T-T risino = cos(9000) whese ME5/12, 0:45°