Question

Need Help? Read it Master 5. -/10 points SerCP10 4.P.030. My Notes A block of mass m - 5.7 kg is pulled up a 0 -21° incline as in the figure below with a force of magnitude F-35 N. (a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.) (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12. (Give the magnitude of the acceleration) Need Help? Red Submit Answer A nita Sep .28

Answer 1

Here we apply free body diagram and Newton's laws of motion and friction concept.

Ang a m= 5.7 0=210 €=35N free Body diagram Ne = Normal force F = Applied force mg = Gravity force. See Coordinate ane Along X-axie fredy = f-mg sino ama = &- ng sino - ax = 35 N – 098 m/s2) Sin 2,9 5.776 Slax = 2:628m/s? Alory Yang, no movement so Cy=o & acceleration of block =2.628 m/s2 & friction present, Mr = 0 Egy so fas ayae) No-ong Cond = 0 fp = My NRT (By definition) Along a-ands Eneta = f-fx-ngsino man = f - Xų mg (coso - mg sino an t -g sino + Mx Cao)

> Cleyen = 35 N – (98/27 (S102P+(0-12)(04210) 57 os are = 1.53 mys? Here acceleration of block = 1.53 m/s2