Verified Solution • 2025–26 Session moderate

QJEEM20Ph332f: JEE Main 2020 Physics - Class 11 JEEM20Ph332f Solution: A uniform cylinder of mass M and radius R is to be pulled over…

A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a < R) by applying a force F at its centre ‘O’ perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The minimum value of F required is : JEE Main 2020 (Online) 2nd September Morning Slot Physics - Rotational Motion Question 133 English

Multiple Choice Options

  • A Mg1−(R−aR)2Mg\sqrt {1 - {{\left( {{{R - a} \over R}} \right)}^2}}
  • B Mg1−a2R2Mg\sqrt {1 - {{{a^2}} \over {{R^2}}}}
  • C MgaRMg{a \over R}
  • D Mg(RR−a)2−1Mg\sqrt {{{\left( {{R \over {R - a}}} \right)}^2} - 1}

Step-by-Step Verified Solution

JEE Main 2020 (Online) 2nd September Morning Slot Physics - Rotational Motion Question 133 English Explanation

to pull up, τ\tau F ≥\ge τ\tau mg

⇒\Rightarrow F ×\times R ≥\ge Mg ×\times x

⇒\Rightarrow Fmin = MgR×R2−(R−a)2{{Mg} \over R} \times \sqrt {{R^2} - {{\left( {R - a} \right)}^2}}

= Mg1−(R−aR)2Mg\sqrt {1 - {{\left( {{{R - a} \over R}} \right)}^2}}

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