In a system of particles 8 kg mass is subjected to a force of l6 N along +ve x-axis and another 8 kg mass is subjected to a force of 8 N along +ve y-axis. The magnitude of acceleration of centre of mass and the angle made by it with x-axis are given respectively by:

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52ms-2, θ = 45°

35 ms-2, θ = tan-1(23)

52ms-2, θ = tan-1(12)

31 ms-2, θ = tan-13

answer is C.

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Detailed Solution

m1x1 = m2x2,a→cm = F→m = 16i^+8j^16 = i^+12j^|a→cm| = 12+(12)2 = 52 m/s2tan θ = 121 ⇒θ = tan-1(12)

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