To a ground observer the block `C` is moving with `u_(0)` and the block `A` with `u_(1)` and `B` is moving with `u_(2)` relative to `C` as shown in figure. Identify the correct statement.

Options

A. `u_(1) - u_(2) = u_(0)`
B. `u_(1) = u_(2)`
C. `u_(1) + u_(0) = u_(2)`
D. None of the above

Answer

A

Explanation

`x + y =` contact

`:. (dx)/(dt) + (dy)/(dt) = 0`
or `(-( dx)/(dt)) = ((dy)/(dt))`
`:. V_(1) -V_(0) = V_(2)`
or `V_(1) -V_(2) = V_(0)`