Question

To set up and solve the equations of motion using rectangular coordinates The 2-kg collar shown has a coefficient of kinetic friction uk= 0.18 with the shaft. The spring is unstretched when s=0 and the collar is given an initial velocity of vo = 17.1 m/s. The unstretched length of the spring is d=1.2 m and the spring constant is k=8.70 N/m. Part B - The acceleration of the collar after it has moved a certain distance What is the acceleration of the collar after it has moved 7.5 m? Express your answer to three significant figures. Figure 1 of 1 View Available Hint(s) IVO ACO vec o a IT af = m/s2 Submit WWWWW Part C - The speed of the collar after it has moved a certain distance

Answer 1

S=7.5m Ef x = max - ff - its coso - ma o N/mg 7.5 1.2 7.5 Ff = UN N=mg} fs = (0.18) (2x9.81) 2 3.53 Fs = ka tano = = 8.7a x = r 1022 +7.5² = 7.6 a = x'- d = T.6 - 102 = 6.um fs = 18-7) (604) = substituting in - 3.53 - 55.68 (cos 9.17 = 2 a (a=- 29.025 m/s2) coso = 5 from - Fra fs cos o = ma - ff - Bkx ( ) = m r dy - 3.53 - 8.TS = 2 v dv ds (-3053-8.75) dsa ar dv Integrating on both sides

(-3.535-425 6 A S= 7.5, Vo = 17.1 m/s var [-3.53 5 – 4:35 54] V] - 271.16 - [ v- (17-152] solving (y=4061 m/s 17.1