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Problem: Three forces in an xy plane act on 3.10 kg mass. 16.90 N directed at 46 deg, 7.20 N directed at 119 deg and 9.20 N directed at 218 deg . (all angles are measured from the positive x-axis, with positive angles in the counter-clockwise direction.) Calculate the magnitude of the acceleration.
F1=16.90 cos 46 x+ 16.90 sin 46 y
F2= 7.20 cos 119 x +7.20 sin 119 y
f3= 9.20 cos 218 x + 9.20 sin 218 y
I keep getting the answer .422 m/s^2, however i am told this is incorrect. I calculated the x and y components for the forces, then added them independently and then I divided each by the mass (after converting to Newtons) which should give me the acceleration. I then calculated the magnitude by using the pythag. theorem. is there a step i am missing or am i completely off?
F1=16.90 cos 46 x+ 16.90 sin 46 y
F2= 7.20 cos 119 x +7.20 sin 119 y
f3= 9.20 cos 218 x + 9.20 sin 218 y
I keep getting the answer .422 m/s^2, however i am told this is incorrect. I calculated the x and y components for the forces, then added them independently and then I divided each by the mass (after converting to Newtons) which should give me the acceleration. I then calculated the magnitude by using the pythag. theorem. is there a step i am missing or am i completely off?