Question

Three identical blocks, A. Band C are on a horizontal frictionless table. The blocks are connected by strings of negligible mass, with block B between the other two blocks. If block C is pulled horizontally by a force of magnitude $F=12$ N, find the tension in the string between blocks $B$ and $C$.

Name: Problem 72, Chapter 4: University Physics with Modern Physics
Uploaded: 2021-07-23T22:21:37-08:00
Duration: 2 min 11 s
Channel: Averell Hause
Description: Three identical blocks, A. Band C are on a horizontal frictionless table. The blocks are connected by strings of negligible mass, with block B between the other two blocks. If block C is pulled horizontally by a force of magnitude F=12 N, find the tension in the string between blocks B and C.

   Three identical blocks, A. Band C are on a horizontal frictionless table. The blocks are connected by strings of negligible mass, with block B between the other two blocks. If block C is pulled horizontally by a force of magnitude $F=12$ N, find the tension in the string between blocks $B$ and $C$.

University Physics with Modern Physics

Wolfgang Bauer, Gary… 1st Edition

Chapter 4, Problem 72

Instant Answer

Solved by Expert Averell Hause

07/23/2021

Step 1

For block C, the force equation would be $F - T_2 = ma$ (where $T_2$ is the tension in the string between blocks B and C, $m$ is the mass of the block, and $a$ is the acceleration). Show more…

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Three identical blocks, A. Band C are on a horizontal frictionless table. The blocks are connected by strings of negligible mass, with block B between the other two blocks. If block C is pulled horizontally by a force of magnitude $F=12$ N, find the tension in the string between blocks $B$ and $C$.

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Key Concepts

Tension in a Massless String

In problems involving strings or ropes of negligible mass, the tension is the internal force that transmits acceleration between connected bodies. It can be computed by analyzing the forces on individual components of the system, using the fact that the string does not alter the overall dynamics due to its negligible mass.

System Acceleration

When several bodies are connected and move together, they share a common acceleration. Considering the entire system as a single object with a combined mass allows for the determination of this acceleration from the applied external force.

Newton's Second Law

This fundamental principle of mechanics states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. It serves as the basis for analyzing the behavior of individual objects and systems when subjected to external forces.

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