Question

Two rods $X$ and $Y$ are attached to a weight of mass $M$ as shown in figure, then

• A. Both $X$ and $Y$ experience compression
• B. Both $X$ and $Y$ experience extension
• C. $X$ experiences extension and $Y$ compression
• D. $X$ experiences compression and $Y$ extension

Answer 1

The correct option is C $X$ experiences extension and $Y$ compression

Let X rod make an angle @ with Y rod in horizontal. Let tension in X rod be $T_1$ and that in Y rod be $T_2$,.
Since the system is in equilibrium. Resolving the forces in x (horizontal) and y (vertical) directions.
Assuming tensile forces to be positive and compressive forces negative. .
$$T_{1}cos@+T_2=0$$
$$T_{1}sin@=Mg$$
$$T_1=\frac{Mg}{sin@}$$
$$T_2=-Mgcot@$$
X rod experiences extension and Y rod experiences compression as negative.