A balanced lever has two weights on it, one with mass $4 k g$ $4 kg$ and one with mass $8 k g$ $8 kg$ . If the first weight is $9 m$ $9 m$ from the fulcrum, how far is the second weight from the fulcrum?

Question

A balanced lever has two weights on it, one with mass $4 k g$ $4 kg$ and one with mass $8 k g$ $8 kg$ . If the first weight is $9 m$ $9 m$ from the fulcrum, how far is the second weight from the fulcrum?

1 Answer

Impact of this question

1558 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-24T13:26:08

$4.5 m$ $4.5m$

Explanation:

From the second condition for static equilibrium, the resultant torque (moments) must be zero, ie $\sum \to τ = 0$ $sumvectau=0$ , where $\to τ = \to r \times \to F$ $vectau=vecrxxvecF$ .

$therefore r_1F_1-r_2F_2=0$ , where $F=W=mg$ .

$therefore (9xx4g)-(r_2xx8g)=0$

$thereforer_2=36/8=4.5m$ .

Science

Math

Humanities

... and beyond

A balanced lever has two weights on it, one with mass $4 k g$ $4 kg$ and one with mass $8 k g$ $8 kg$ . If the first weight is $9 m$ $9 m$ from the fulcrum, how far is the second weight from the fulcrum?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A balanced lever has two weights on it, one with mass 4 kg4kg4 kg and one with mass 8 kg8kg8 kg. If the first weight is 9 m9m 9 m from the fulcrum, how far is the second weight from the fulcrum?

1 Answer

Explanation:

Related questions

Impact of this question

A balanced lever has two weights on it, one with mass $4 k g$ $4 kg$ and one with mass $8 k g$ $8 kg$ . If the first weight is $9 m$ $9 m$ from the fulcrum, how far is the second weight from the fulcrum?