# A balanced lever has two weights on it, one with mass #2 kg# and one with mass #8 kg#. If the first weight is # 4 m# from the fulcrum, how far is the second weight from the fulcrum?

##### 2 Answers

#### Explanation:

The concept that comes into use here is torque. For the lever to not tip over or rotate, it must have a net torque of zero.

Now, the formula of torque is

Take an example to understand, if we hold a stick and attach a weight at the front of the stick, it doesn't seem too heavy but if we move the weight to the end of the stick, it seems a lot heavier. This is because the torque increases.

Now for the torque to be same,

The first block weighs 2 kg and exerts approximately

The first block weighs 8 kg and exerts approximately

Putting this in the formula,

We get that x= 1m and hence it must be placed at a distance of 1m

The distance is

#### Explanation:

The mass

The mass

The distance

Taking moments about the fulcrum

The distance is