The drawing shows a frictionless incline and pulley. The two blocks are connecte

Question

The drawing shows a frictionless incline and pulley. The two blocks are connected by a wire (mass per unit length = 0.0199 kg/m) and remain stationary. A transverse wave on the wire has a speed of 72.4 m/s. Neglecting the weight of the wire relative to the tension in the wire, find the masses (a) m1 and (b) m2 of the blocks.

The drawing shows a frictionless incline and pulley. The two blocks are connected by a wire (mass per unit length-0.0199 kg/m) and remain stationary. A transverse wave on the wire has a speed of 72.4 m/s. Neglecting the weight of the wire relative to the tension in the wire, find the masses (a) m1 and (b) m2 of the blocks. (a) Number Units (b) Number Units

Explanation / Answer

v = sqrt[ T / linear mass density ]

72.4^2 = T / 0.0199

T = 104.3 N

T - m2 g = 0

m2 = 104.3 /9.81 = 10.6 kg ........Ans

T - m1 g sin30 = 0

m1 = 21.3 kg ........Ans

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