Mechanical Engineering - Engineering Mechanics - Discussion

Opposite side= sinθ.
Base= cosθ.

Because opp.side/hypo=sinθ(hypo=1).
sin2θ+cos2θ=1.

What is velocity ratio here?

What are the cases for which velocity ratio is being asked?

Velocity ratio is the ratio of distance moved by effort to distance moved by force, in case a weight is pulled using a pulley the vertical side is the distance moved by effort, the inclined side is the distance moved by the force.

As effort has been applied vertically , hence displacement is calculated along the direction of force. Considering the mass does not get detached from the inclined plane, the mass is constrained to move along the inclined plane. Therefore displacement along the hypotenuse would be 1 unit( considering a triangle of 1 unit hypotenuse). Consequently, displacement along the effort would be sin(theta). VR= displacement by effort/ displacement by load, = sin(theta).

Its the same as screw thread principle.

What is velocity ratio?

@Bibin S.

Velocity Ratio can be defined as the ratio of distance moved by effort to the distance moved by load.

Application of the formula is in the car in the sloping area.

@HARYHOR.

You replace distance by displacement.

I think option (B) because W and are make angle and weight is shown by cos.