# The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.10 kg; block 2 has mass m2 = 2.50 kg. What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?

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The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.10 kg; block 2 has mass m2 = 2.50 kg. What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?

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Step 1

It is clear from the figure that the block m­2 has more  mass so that it accelerates down ward and m­1will accelerate upward. According to the Newton’s law, equation (1) and (2) gives the equations of motion regarding this Atwood’s machine.

Step 2

Add equation (1) and (2) gives equation (3) which gives the magnitude of acceleration.

Step 3

(b) Solve equation (2) for T and use the ...

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