Question

A pulley has a light rope running over it, with a $10N$ weight on one side and a $20N$ weight on the other. Ropes always pull with equal force on each end; this is called tension. If the masses are allowed to fall, what is the tension, $T$ in the rope?

• A. $0N$
• B. $1N<T<10N$
• C. $10N$
• D. $Noneofthese$

Answer 1

The correct option is D $Noneofthese$

Since blocks are connected to each other, they will have a common acceleration.

Acceleration=$\frac{20-10}{3}=\frac{10}{3}m{s}^2$

For tension in the rope

$20-T=2\times \frac{10}{3}$

$T=20-\frac{20}{3}$

$T=\frac{40}{3}$Newton