Jay_Bholenath ॐ
Your question :
⇛ A heavy box is being pulled by using two tractors. One of these has velocity V1 and the other V2, the Angle between the velocities is α. What is the velocity of the box, if we assume that the ropes are parallel to velocity vectors?
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Refer the attachment..
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Given :
Velocity of tractor 1 = V₁
Velocity of tractor 2 = V₂
Angle between velocities = α
To find :
Resultant velocity of the box = ?
Solution :
- Let the resultant velocity of the box be Vr
- From Triangular law of forces,The resultant velocity is given by
Vr = √(V₁²+V₂²+2V₁V₂cos∅)
- By substituting the values
Vr = √(V₁²+V₂²+2V₁V₂cosα)
The resultant velocity of the box is Vr = √(V₁²+V₂²+2V₁V₂cosα)
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