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QJEEM21Ph6290: JEE Main 2021 Physics - Class 11 JEEM21Ph6290 Solution: A sphere of mass 2 kg and radius 0.5 m is rolling with an…

A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms-1 goes up an inclined plane which makes an angle of 30 ∘^\circ with the horizontal plane, without slipping. How long will the sphere take to return to the starting point A?

JEE Main 2021 (Online) 17th March Evening Shift Physics - Rotational Motion Question 103 English

Multiple Choice Options

  • A 0.60 s
  • B 0.52 s
  • C 0.80 s
  • D 0.57 s

Step-by-Step Verified Solution

JEE Main 2021 (Online) 17th March Evening Shift Physics - Rotational Motion Question 103 English Explanation

a=gsin⁡θ1+ca = {{g\sin \theta } \over {1 + c}}

a=9.8sin⁡30∘1+25a = {{9.8\sin 30^\circ } \over {1 + {2 \over 5}}}

a = 3.5 m/sec2

Time of accent

V = u + at

0 = 1 −- 3.5 t

t=13.5t = {1 \over {3.5}} sec.

Time of decent

t=13.5t = {1 \over {3.5}} sec.

Total time T=23.5T = {2 \over {3.5}} = 0.57 sec.

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