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Two students analysed two different prob...

Two students analysed two different problems off mechanics involving constraint motion. Symbols have their usual meaning.

The vertical rod can move only vertically and the wedge can move only horizontally.
`y/x=tantheta, y=x tan theta, v_(y)=v_(x)tantheta`
Student `B`.
The ends of the rods are slipping on the ground and the wall, respectively
`y/x=tantheta, y=xtantheta, vy=vxtantheta`

A

Student `A` is correct `B` is wrong

B

Student `A` is wrong `B` is correct

C

Both are correct

D

Both are wrong

Text Solution

Verified by Experts

The correct Answer is:
A

Displacement along the common normal will be the same.
`ycostheta=xsinthetaimpliesy=xtantheta`. Differentiating both sides, `vy =vxtantheta`.
Velocity of the two ends of the rod will be the same along the rod.
`vysintheta=vxcostheta`
`implies vy=vxcottheta`
Student `A` is correct and `B` is wrong.
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