Answer to Question #153153 in Physics for Ian

Question #153153
A 5kg block was placed on an inclined plane(50 degrees with respect to the vertical).Forces A is at angle C with respect to the horizontal. Force B is parallel with the incline.The coefficients of static and kenetic friction are 0.3 and 0.2 respectively.
A=197KN
B=49 KN
C=7 degrees
DETERMINE IF THERE IS MOTION AND ITS DIRECTION
1
Expert's answer
2020-12-29T15:32:50-0500

"N=mg\\cos40\u00b0+197000\\cdot\\sin47\u00b0=5\\cdot9.8\\cdot\\cos40\u00b0+197000\\cdot\\sin47\u00b0="


"=144114(N)"


"49000+mg\\sin40\u00b0-197000\\cos47\u00b0=49000+5\\cdot9.8\\cdot\\sin40\u00b0-197000\\cos47\u00b0="


"=-85322(N)"


"F_f=0.3N=0.3\\cdot144114=43234(N)"


So, "F_{total}=-85322+43234=-42088(N)"


The block will move up the inclined plane. Answer







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