1. The oscillation of a mass on a frictionless surface, shown in the figure below, is characterised by the following parameters Amplitude = 6.0 cm Maxımum specd = 31.0 cm/s Position at t = 0 is x(0) = +20 cm Imitial velocity is to the left (1 e v̟(0) < 0) Mass is m = 03 kg www (a) What is the force constant of the spring? (b) What is the angular frequency w of this motion? (c) What is the period 7'of this motion (d) If the position of the mass is x(t) = A cos(wot + w), what is the phase constant, @? Be sure that your answer gives the correct sign for v,(0) (e) Wrste down expressions for x(t) and v(t)

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1. The oscillation of a mass on a frictionless surface, shown in the figure below, is characterised
by the following parameters
Amplitude = 6.0 cm
Maxımum speed = 31.0 cm/s
Position at t = 0 is x(0) = +2 0 cm
Imitial velocity is to the left (1 e v,(0) < 0)
Mass is m = 0 3 kg
A=0
(a) What is the force constant of the spring?
(b) What is the angular frequency w of this motion?
(c) What is the period 7'of this motion?
(d) If the position of the mass is x(t) = A cos(wt + w), what is the phase constant. o?
Be sure that your answer gives the correct sign for ve(0)
(e) Write down expressions for x(t) and v(t)
ll
12:58 PM
2021-09-20 Page: 1 of 1
Words: 0
B I E E E 90% e
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Transcribed Image Text:W Document1 - Microsoft Word (Product Activation Failed) File Home Insert Page Layout References Mailings Review View a ? % Cut A Find - - =。三,年 外T Calibri (Body) - 11 A A Aa Aal AaBbCcDc AaBbCcDc AaBbC AaBbCc AaB AaBbCcL E Copy Сopy a Replace B I U - ab A I Normal Paste abe x, x A I No Spaci. Heading 1 Heading 2 Title Subtitle Change W Format Painter Styles - Select - Clipboard Font Paragraph Styles Editing L • 2:1: 1: | 3:1' 4: ·5.1 6.1:7 l:8: 1'9 ' 10: 1 '11: 1'12 :L·13:1' 14:' 15. LA:L 17:L · 18. 1. The oscillation of a mass on a frictionless surface, shown in the figure below, is characterised by the following parameters Amplitude = 6.0 cm Maxımum speed = 31.0 cm/s Position at t = 0 is x(0) = +2 0 cm Imitial velocity is to the left (1 e v,(0) < 0) Mass is m = 0 3 kg A=0 (a) What is the force constant of the spring? (b) What is the angular frequency w of this motion? (c) What is the period 7'of this motion? (d) If the position of the mass is x(t) = A cos(wt + w), what is the phase constant. o? Be sure that your answer gives the correct sign for ve(0) (e) Write down expressions for x(t) and v(t) ll 12:58 PM 2021-09-20 Page: 1 of 1 Words: 0 B I E E E 90% e +
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