JEE MAIN - Physics (2021 - 17th March Evening Shift - No. 10)
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?
_17th_March_Evening_Shift_en_10_1.png)
0.60 s
0.52 s
0.80 s
0.57 s
Explanation
_17th_March_Evening_Shift_en_10_2.png)
$$a = {{g\sin \theta } \over {1 + c}}$$
$$a = {{9.8\sin 30^\circ } \over {1 + {2 \over 5}}}$$
a = 3.5 m/sec2
Time of accent
V = u + at
0 = 1 $$-$$ 3.5 t
$$t = {1 \over {3.5}}$$ sec.
Time of decent
$$t = {1 \over {3.5}}$$ sec.
Total time $$T = {2 \over {3.5}}$$ = 0.57 sec.
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