In the shown figure, block moves downwards with velocity v1, the wedge moves rightwards with velocity v2. The correct relation between v1 and v2 is
A
v2=v1
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B
v2=v1sinθ
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C
2v2sinθ=v1
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D
v2(1+sinθ)=v1
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Solution
The correct option is Dv2(1+sinθ)=v1
The given system can be reframed as shown below
From constrained condition and using intercept method we get .L1+.L2+.L3=0 ⇒V1−V2sinθ−V2=0⇒V1=V2+V2sinθ V1=V2(1+sinθ)