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Somebody please find the relationship between v1 and v2 using constraint relation in string assuming the wedge shifts X distance towards left. I'm confused, its answer is v1=v2.and i'm getting X-Xcostheta-Xcostheta-y=0, where y is the distance moved by block wrt wedge and Where v2 is the velociety of block wrt wedge

Somebody please find the relationship between v1 and v2 using constraint relation in string assuming the wedge shifts X distance towards left.
I'm confused, its answer is v1=v2.and i'm getting 
X-Xcostheta-Xcostheta-y=0, where y is the distance moved by block wrt wedge and
Where v2 is the velociety of block wrt wedge

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Grade:12

1 Answers

Tejal Kumari
28 Points
5 years ago
If displacement of wedge to left = x
The pulley moves to to the left by distance x
l1 changes to l1+x
Since the total length of the pulley has to remain constant, l2 should decrease by x.
Intial length= l1+l2
Final length=(l1+x)+(l2-x).  Therefore, both equal
Relative displacement of block=x
Differentiate wrt t and you get v1= v2
 

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