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Two masses m1 and m2 are placed touching each other on an inclined plane forming an angle θ with the horizontal the coefficient of friction between the inclined plane and m1 is µ1 and that of between plane and m2 is µ2 where µ1 > µ2.
(a) Find the interaction force between the two masses.
(b) What is the minimum angle q at which masses start sliding.
(a) Let R be the interaction force and F1 and F2 be the frictional force on m1 and m2, respectively.
m1a = m1g sin θ + R – µ1N1 m2a = m2g sinθ – R – µ2N2
N1 – m1gcosθ = 0 N2 – N2 – µ2 cosθ = 0
(b) The two masses begin to slide just when the acceleration of m1 is not zero.
The limiting case is given by
m1g sinθmin + R – µ1m1g cosθmin = 0
Using R from part (a)
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