Q6 A mass 10 kg is suspended by a rope of length 2m from the ceiling. A force 100 N in horizontal direction is applied at the mid-point of rope as shown in figure. The angle subtended by rope with the vertical in equilibrium will be (g = 10 m/s2 and neglect the mass of rope) → 100 N A 53° 10kg B 37° D 30° e 45°
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Answer:
For horizontal equilibrium-
T
3
=T
1
sinθ
For vertical equilibrium-
T
2
=T
1
cosθ
Taking ratios-
T
2
T
3
=tanθ
And for equilibrium of body T
2
=6kgwt=6×10=60N
⟹tanθ=
6
5
or θ=tan
−1
6
5
Explanation:
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