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Two infinitely long rods are arranged on a plane making an angle θ with each other, as shown in the figure. The rod B starts to move with a uniform velocity ~v, in a direction perpendicular to rod A. Thus, the point of intersection P moves with a horizontal velocity ~vP . Which of the following statements is true? A )vp increases with increasing theta B )vp decreases with increasing θ C)vp is independent of θ. D) vP is independent of v.

Two infinitely long rods are arranged on a plane making an angle θ with each other, as shown in the figure. The rod B starts to move with a uniform velocity ~v, in a direction perpendicular to rod A. Thus, the point of intersection P moves with a horizontal velocity ~vP . Which of the following statements is true?
A )vp increases with increasing theta
B )vp decreases with increasing θ
C)vp is  independent of θ. 
D) vP is independent of v.

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Grade:11

1 Answers

Rizeen Musaliyarakath
18 Points
3 years ago
  1. vP decreases with increasing θ. since Tan(θ) can be defined as the ratio of v to vP. 
    create a triangle with included angle θ. let dy be the distance travelled by rod in some time, dx be the distance P has changed. Tan(θ) will be dy/dx. dividing by dt, we get tan(θ)=v/vP .

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