Q127 / 160 · TS EAMCET 2022 (18 Jul Shift 1) · Physics

Two blocks of masses 1 kg and 2 kg connected by a light rod and the system is slipping down a rough incline angle 45° with the horizontal. The frictional coefficient at both the contacts is 0.4. If the acceleration of the system is α2, the value of α is (Use g=10 m s-2)

  • A
    4
  • Correct answer
    B
    3
  • C
    2
  • D
    6

Solution

Figure

Frictional force acting on both the block will be kinetic in nature.

Therefore,

f1=μm1gcos45°=0.4×1×10×12=22 N

Similarly,

f2=μm2gcos45°=0.4×1×10×12=42 N

Now, net force along the incline in the downward direction will provide the required acceleration,

m1gsin45°+m2gsin45°-f1-f2=m1+m2×α2⇒52+102-22-42=3α2⇒α=3

Hence, the correct answer is option: 'B'.

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