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JEE Main 2022 (29 Jun, Shift 2) · Friction Basics

Friction Basics question from JEE Main 2022 (29 Jun, Shift 2)

Q12JEE Main 2022 · 29 JUN · SHIFT 2Easy

Friction Basics

A block of mass 40 kg slides over a surface, when a mass of 4 kg is suspended through an inextensible massless string passing over frictionless pulley as shown below.

The coefficient of kinetic friction between the surface and block is 0.02. The acceleration of block is. (Given g = 10 ms−{}^{-}2.)

Figure

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Answer: (d)

  1. Driving force: weight of 4 kg =40= 40 N; friction on 40 kg block =0.02×40×10=8= 0.02 \times 40 \times 10 = 8 N.
  2. a=40−840+4=3244a = \dfrac{40 - 8}{40 + 4} = \dfrac{32}{44}
  3. a=811 m s−2a = \dfrac{8}{11}\text{ m s}^{-2}, so the answer is (d).
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