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Tushar Watts Grade: 12
        


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.

7 years ago

Answers : (1)

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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Naga Ramesh

IIT Kgp - 2005 batch

7 years ago
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