Two accelerating blocks tension in the string acceleration problem. Two blocks dynamics problem.

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In this two blocks dynamics problem, a string connects two accelerating blocks. Tension in the string is computed by applying Newton's second law.

Two accelerating blocks are tied together and accelerated with an external force. The key to the problem is to realize that the external force accelerates the entire mass of the two blocks at the same rate, so we treat the two blocks as a single system and compute the acceleration by applying Newton's second law.

Knowing the acceleration of the system, we know the acceleration of the larger block. Since we have the mass and acceleration, we can now compute the force on the larger block by applying newton's second law again. This gives us the answer to the acceleration problem: two blocks have a known tension in the string between them.

The tension in the string acceleration problem is complete, but we run a check on the answer by analyzing the forces on the small block. We apply Newton's third law to get the force pulling to the left on the small block, and the applied force pulls to the right on the small block. We get the net force on the small block and compute the acceleration, arriving at the same acceleration we initially found.

[muhammadhussein]

Thank you this question appears on my tests and I didn’t know how to do it

[sshauryaarocks]

thank you sir. what if the string had a mass also?

[riddhisarkar]

And is the 20 kg mass pulling the 35 kg mass with 25.5N....i mean are the two tentions equal?