Two block of masses m1 and m2 are placed in contact with each other on fraction less horizontal surface. a constant horizontal force F is applied to the block of mass m2 . Determine the acceleration of the two block system and force exerted by mass m1 and m2 .
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Explanation:
Two blocks with masses m
1
and m
2
are stacked on a horizontal smooth surface. Coefficient of friction between the blocks is μ. A force F is applied at angle θ with the horizontal on block of mass m
1
. Find the maximum force F so that the blocks move together.
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ANSWER
N=(m
1
g+Fsinθ)
F
f
=uN
Fcosθ−F
f
=m
1
a
Fcosθ−u(m
1
g+Fsinθ)=m
1
.......(1)
Fcosθ=(m
1
+m
2
)a ..............(2)
From equation 1 and 2:
Fcosθ−u(m
1
g+Fsinθ)=
m
1
+m
2
m
1
Fcosθ
F=
m
2
cosθ−u(m
1
+m
2
)sinθ
um
1
(m
1
+m
2
)g
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