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Grade upto college level Mechanics

Two objects, with masses m1) = 1.65 kg and m2 = 3.22 kg, attached by a massless rod parallel to the incline on which both slide, as shown in Fig. travel down the plane with m1 trailing m2. The angle of the incline θ = 29.5° The co efficient of kinetic friction between m1 and the incline is μ1 = 0.226; between m2 and the incline the corresponding coefficient is μ2 = 0.127. Compute (a) the common acceleration of the two objects and (b) the tension in the rod. (c) What are the answers to (a) and (b) if m2 trails m1 ?
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

Profile image of Amit Saxena
11 Years agoGrade upto college level
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1 Answer

Profile image of Navjyot Kalra
11 Years ago
232-831_1.PNG
Therefore, the acceleration of the both the blocks is 3.45 m/s2.

232-2439_1.PNG
Therefore, the magnitude of tension in rod is 0.91 N .
(c)
It is important to note that if m2 trails m1, there will be no change in magnitude of acceleration. However, the tension in rod will become negative.