A bead `C` can move freely on a horizontal rod. The bead is connected by blocks `B` and `D` by a string as shown in the figure. If the velcoity of `B` is `v` The velcoity of block `D` is `4v//x` find the value of x
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Answer

3

Explanation

along the length of string velocity componet is same for all the points on string.
`v_(B) =v_(C) cos 53^(@)….(1) v_(C) cos 37^(@) =v_(D)…(2)`
from eqns. (1) and (2) we get
`v_(D)=(v_(B)cos37^(@))/(cos 53^(@)) =(v_(B)(4//5))/((3//5)),v_(D) = (4)/(5)v`
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