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A has mass 40 kg, B is of 15 kg and F is 500 N parallel to a smooth inclined plane. The system is moving together. Show that the acc of the system is 45/11 m /s2  and the least coeff  of friction  b/w A and B is 9 (3)1/2  / 53.```
8 years ago

Ramesh V
70 Points
```										Free body diagrams of two blocks are shown below:

on balancing forces on each block in X and y axis respectively, we have:
for A:
N -150 = 7.5a
f = uN =13a
for B:
0.866R - N =150 + 20a
433 -0.5R -uN = 34.64a   here u is coeff. of friction btn 2 blocks
on solving above equations, we have
N = 150 + 7.5a
433 - 47.64a = 0.5R
so, its     750 - 82.5a = 300 + 27.5a
450 = 110a
the acc of the system a = 45 / 11 m/sec2
the coeff. of friction is
u(150 + 20a ) = 13a
so u = 13a / (150+20a)
The coeff. of friction is    u = 0.2942 or  9.(3)1/2 / 53.
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IIT Kgp - 2005 batch
```
8 years ago
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