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JEE Main 2023 (24 Jan, Shift 1) · Connected Bodies & Pulleys

Connected Bodies & Pulleys question from JEE Main 2023 (24 Jan, Shift 1)

Q18JEE Main 2023 · 24 JAN · SHIFT 1Medium

Connected Bodies & Pulleys

As per given figure, a weightless pulley P is attached on a double inclined frictionless surfaces. The tension in the string (massless) will be (if g = 10 m/s22)

Figure

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Answer: (d)

  1. Driving force: 4gsin⁡60∘−1⋅gsin⁡30∘=203−54g\sin 60^\circ - 1\cdot g\sin 30^\circ = 20\sqrt{3} - 5 N (4 kg goes down).
  2. a=203−55=(43−1) m/s2a = \dfrac{20\sqrt{3} - 5}{5} = (4\sqrt{3} - 1)\text{ m/s}^2
  3. For the 1 kg block: T−gsin⁡30∘=1⋅aT - g\sin 30^\circ = 1\cdot a
  4. T=5+43−1=4(3+1)T = 5 + 4\sqrt{3} - 1 = 4(\sqrt{3} + 1) N, so the answer is (d).
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