File Home Insert Page Layout References Mailings Review View * Cut A Find Calibri (Body) - 11 A A Aa =,=, 请音 AaBbCcD AaBbCcD AaBbC AaBbCc AaBI AaBbCcl PA 1 Normal 1 No Spaci. Heading 1 Heading 2 Copy ehe Replace BI U- ab - A Paste - abe x, x'A Change Styles Select- Title Subtitle Format Painter Clipboard Font Paragraph Styles Editing 2 111 3.14. 18 2. A damped oscillator with mass 2 kg has the equation of motion 2x + 12x + 50x =0 Where x is the displacement from equilibrium, measured in metres (a) What are the dampıng constant and the natural angular frequency for this oscallator? (b) (1) What type of damping is this? (1) Is the motion still oscillatory and periodic (11) If so, what is the oscillation perod? (c) (0) For what value of the damping constant would this system, if displaccd, return as quickly as possible to equilibrium? (11) What would the equation of motion then be 05 PM
File Home Insert Page Layout References Mailings Review View * Cut A Find Calibri (Body) - 11 A A Aa =,=, 请音 AaBbCcD AaBbCcD AaBbC AaBbCc AaBI AaBbCcl PA 1 Normal 1 No Spaci. Heading 1 Heading 2 Copy ehe Replace BI U- ab - A Paste - abe x, x'A Change Styles Select- Title Subtitle Format Painter Clipboard Font Paragraph Styles Editing 2 111 3.14. 18 2. A damped oscillator with mass 2 kg has the equation of motion 2x + 12x + 50x =0 Where x is the displacement from equilibrium, measured in metres (a) What are the dampıng constant and the natural angular frequency for this oscallator? (b) (1) What type of damping is this? (1) Is the motion still oscillatory and periodic (11) If so, what is the oscillation perod? (c) (0) For what value of the damping constant would this system, if displaccd, return as quickly as possible to equilibrium? (11) What would the equation of motion then be 05 PM
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2. A damped oscillator with mass 2 kg has the equation of motion
2x + 12x + 50x = 0
Where x is the displacement from equilıbrium, measured in metres
(a) What are the dampıng constant and the natural angular frequency for this oscallator?
(b) (1) What type of dampıng is this?
(11) Is the motion still oscillatory and periodic?
(1) lf so, what is the oscillation period?
(c) () For what value of the damping constant would this system, if dısplaced, return as
quickly as possible to cquilibrium?
(1) What would the equatson of motion then be?
ull
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