Posted by **nikhil** on Tuesday, February 1, 2011 at 1:49am.

Two masses m and 2m are attached with each other by a rope passing over a frictionless and massless pulley. If the pulley is accelerated upwards with an acceleration ‘a’, what is the value of T?

- physics -
**drwls**, Tuesday, February 1, 2011 at 6:11am
If the pulley is accelerated at rate a, it is the same as if the weights became m(g +a) and 2m(g+a), in a coordinate system moving with the pulley, with gravitational accleration g + a.

There would be additional acceleration of the weights at a rate

a' = (g+a)(m/3m) = (g+a)/3

(2m would accelerate at rate a' down and m would accelerate up)

For the cable tension, let us apply Newton's second law to 2m.

2m*(g+a)-T = 2m*a' = 2m*(g+a)/3

T = 2m*(g+a)(2/3)= (4m/3)(g+a)

## Answer This Question

## Related Questions

- physics - Consider the system shown in the diagram. The pulley is a uniform ...
- Physics - The diagram for this problem is a pulley. On the left end Box 1 is ...
- Physics - Note: The left-hand mass is equal to the sum of the other two masses. ...
- Physics - A string passes over a frictionless, massless pulley attached to the ...
- physics - In a device known as an Atwood machine, two masses m1=10kg and m2=20kg...
- Physics - Two masses, mA = 40.0 kg and mB = 55.0 kg, are connected by a massless...
- Physics - In the figure, the two blocks are attached by a massless rope over a ...
- Physics - A block of mass 2.30kg is accelerated across a rough surface by a rope...
- Physics - A 70 kg person stands on a 30 kg platform and pulls on a massless rope...
- physics - The masses of blocks A and B are 4.5 kg and 3.7 kg respectively. The ...

More Related Questions