Laws of MotionHard
Question
In the figure shown, find out the value of θ at this instant [assume string to be tight]
Options
A.tan-1 
B.tan-1 
C.tan-1 
D.none of these
Solution
Solving problem in the frame of pulley
3.25 cosθ − 1 sinθ = √3 cos 30 + 1 sin 30
3.25 cosθ − sinθ =
3.25 cosθ − sinθ = 2
13 cos θ − 4 sin θ = 8
= 8 + 4 sinθ
169 − 169 sin2θ = 64 + 16 sin2θ + 64 sinθ
185 sin2θ + 64 sinθ − 105 = 0
⇒ sin θ =
⇒ tan θ =
3.25 cosθ − 1 sinθ = √3 cos 30 + 1 sin 30
3.25 cosθ − sinθ =
3.25 cosθ − sinθ = 2
13 cos θ − 4 sin θ = 8
= 8 + 4 sinθ169 − 169 sin2θ = 64 + 16 sin2θ + 64 sinθ
185 sin2θ + 64 sinθ − 105 = 0
⇒ sin θ =
⇒ tan θ =
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