Question

Which is the correct option for the system as shown in the figure

Answer 1

Answer:

maybe option b

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Answer 2

vᵃ = vᵇ Cos θ

Given,

Figure

The velocity of hanging block → vᵃ

The velocity of the block placed on the ground → vᵇ

To Find,

Relation between vᵃ and vᵇ

Solution,

In the given Free Body Diagram, the string of the pulley attached to block B is at angle θ

The velocity of Block A = Velocity of Block B along The string

If we resolve vᵇ into its component, we get vᵇ Sin θ and vᵇ Cos θ, out of which vᵇ Cos θ is the component along the string.

Hence, the answer is vᵃ = vᵇ Cos θ

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