ps10c27 - Ph 111.01 November 7, 2008 PS 10c (27) Problem 1...

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Ph 111.01 November 7, 2008 PS 10c (27) Problem 1 = Walker P. 13-25. The pistons in an internal combustion engine undergo a motion that is approximately simple harmonic. The amplitude of motion is 4.1 cm, and the engine runs at 1800 rev/min. (a) Find the maximum acceleration of the pistons. m/s 2 (b) Find the maximum speed of the pistons. m/s Solution. We are going to need ω , the angular frequency: 1 min 2 rad1 rev 1800 rev/min 188.5 rad/sec 60 sec π  ==   Now, the equations describing simple harmonic motion are () 2 2 cos cos eq. (13.2) sin eq. (13.6) cos eq. (13.8) xA t A t T vA t aA t ωω =− (a) The amplitude of the acceleration is seen to be ( ) 2 22 max 0.041 m 188.5 rad/s 1457 m/s = (b) Similarly, the amplitude of the velocity is ( )( ) max 0.041 m 188.5 rad/s 7.73 m/s = Problem 2 = Walker P. 13-33. Two people with a combined mass of 139 kg hop into an old car with worn out shock absorbers. This causes the springs to compress by 8.80 cm. When the car hits a bump in the road it oscillates up and down with a period of 1.68 s.
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ps10c27 - Ph 111.01 November 7, 2008 PS 10c (27) Problem 1...

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