Question

Two masses A and B are connected with an extensible string . Their speeds are Va and Vb at the moment shown. The correct constraint relationship is

Answer 1

Given:

Two masses A and B are connected with an inextensible string . Their speeds are Va and Vb at the moment.

To find:

Constraint relationship.

Calculation:

Since both the masses have been connected to an inextensible string, it means that the velocity components of the masses along the string will be equal.

This constraint will be followed in this case , otherwise it will lead to breaking or slagging of the string.

Constraint Relation:

$\therefore$ Component of A along the string = Component of B along the string

$\sf{=> V_{a} \cos( \alpha ) = V_{b} \cos( \beta )}$

So, final answer is :

$\boxed{\bold{V_{a} \cos( \alpha ) = V_{b} \cos( \beta )}}$