Question

Three weights $w$, $2w$, and $3w$ are connected to identical springs suspended from a rigid horizontal rod. The assembly of the rod and the weights fall freely. The positions of the weight from the rod are such that

• A. $3w$ will be farthest
• B. $w$ will be farthest
• C. all will be at the same distance
• D. $2w$ will be the farthest

Answer 1

The correct option is C

all will be at the same distance

Step 1: Given Data

Three weights $w$, $2w$, and $3w$ are connected to identical springs.

They are suspended from a rigid horizontal rod.

The assembly of the rod and the weights fall freely.

Step 2: Formula Used

Arrange of the system is as follows,

If has been given that the system undergoes free fall.

We know that the acceleration acting on a body due to free fall is $g=9.8m/s^2$.

Step 3: Position of the Weights

Therefore, during free fall the weight of $w$, $2w$, and $3w$ is zero.

Hence, the springs will not expand downwards due to the absence of weight.

Thus, the positions of the weight from the rod are all at the same distance.

Hence, the correct answer is an option (C).