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

Options

A. `(a) v_(1) - v_(2) = v_(0)`
B. `(b)v_(1) = v_(2)`
C. `(c)v_(1) + v_(0) = v_(2)`
D. (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)`