Question

In the figure, the coefficient of kinetic friction between the surface and the larger block is 0.20, and the coefficient of kinetic friction between the surface and the smaller block is 0.30. If F = 14 N and M=1.0 kg, what is the magnitude of the acceleration of either block? 3M M

Answer 1

Solution:

Acceleration of the both blocks is the same.

Magnitude of the acceleration of either block is 0.80225m/s².

Solution: Griven, Coefficient of kinetic friction between the surface and larger block Me = 0.20 Coefficient of vinetic friction between the 0-30 surface and smaller block, Mis: Mass of the smaller block, M = 1.0kg Mass of the larger block, 3M = 3.0 kg Force = 1 AN Projecting Newton's Newton's and daw of two boches on the yoaneis gives n = mg (3mg îni na- na T M •T 1 F fie fo CS Scanned with CamScanner (3m) g

On the x-axis for mi To f = ma, with fi= Mks no T= Munit ma - Mugh, og+ma On the x-aneis for (3M) and (3m) a la=F-T-fa =F-(fit ma) -f2 =F-Man-Ma - muna Bearing in mind that ni= Mg and na = 6m) we should finally get, - Mus gM - MK19 (3m) M+am) = 140- [6-30) (9.2.1x)x185) - (0.28m) x 429) CS &anno.foka5 misa Akg