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Two objects, with masses m 1 ) = 1.65 kg and m 2 = 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 m 2 . The angle of the incline θ = 29.5° The co efficient of kinetic friction between m 1 and the incline is μ 1 = 0.226; between m 2 and the incline the corresponding coefficient is μ 2 = 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 m 2 trails m 1 ?

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 ?

Grade:upto college level

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
6 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.

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