Laws of MotionHard

Question

A body of mass 8 kg is hanging from another body of mass 12 kg. The combination is being pulled by a string with an acceleration of 2.2 m s-2 The tension T1 and T2 will be respectively :
(use g = 9.8m/s2)

Options

A.200 N,  80 N
B.220 N,  90 N
C.240 N, 96 N
D.260 N,  96 N

Solution


T2  − 8g = 8a        [ Newton′s II law for 8 kg block]
⇒    T2 = 8 × 2.2 + 8 × 9.8
            = 96 N
        T1 − 12 g − T2 = 12 a    [ Newton′s II law for 12 kg block]
⇒    T1 = 12 × 2.2 + 12 × 9.8 + 96
        T1 = 240 N

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