Tension

Applying Newton?? law along string

Step 1: Understanding the formula for surface energy. The surface energy is given by: For a sphere, surface area is: Step 2: Calculate initial total surface area. - Given 1000 small droplets, each of radius mm. - Total surface area before merging: Step 3: Calculate final surface area. The final drop has a total volume equal to the sum of all small drops: Cancelling from both sides: Final surface area: Step 4: Compute the released surface energy. Change in surface area: Energy released: Final Answer:

Step 1: Understanding the Concept
In classical mechanics, we often use the "Ideal String" and "Ideal Pulley" approximations. An ideal string is massless and inextensible, and an ideal pulley is frictionless and massless.

Step 2: Detailed Explanation
1. A string is considered a medium to transmit force. 2. If the string is massless, the net force on any segment of the string must be zero (otherwise, it would have infinite acceleration since ). 3. If the pulley is frictionless, it does not offer any resistive torque to the string. 4. Because the string is continuous and the pulley is frictionless, the magnitude of the tension remains constant throughout the entire length of the string connecting the two masses. 5. Therefore, the tension in the segment on the left ( ) must be equal to the tension in the segment on the right ( ).

Step 3: Final Answer
The relation is .