A balanced lever has two weights on it, the first with mass #5 kg # and the second with mass #3 kg#. If the first weight is # 6 m# from the fulcrum, how far is the second weight from the fulcrum?

Answer 1

10 meters

Imagine a see-saw where two people sit on either end.
They're balanced again! So, we've changed two variables: weight and distance. The ability to rotate around a fulcrum, torque, is dependent on force and distance.

If a system is not rotating, clockwise and counter-clockwise rotation are balanced:

#F_1*d_1=F_2*d_2#

In our case:
#F_1*d_1=F_2*d_2#
#d_2=(F_1*d_1)/F_2#
#d_2=(5kg*6m)/(3kg)#
#d_2=10m#

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Answer 2

[ \text{Distance of second weight from fulcrum} = \frac{\text{Weight of first mass} \times \text{Distance of first mass from fulcrum}}{\text{Weight of second mass}} ]

[ \text{Distance of second weight from fulcrum} = \frac{(5 , \text{kg} \times 6 , \text{m})}{3 , \text{kg}} = 10 , \text{m} ]

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Answer 3

To find the distance of the second weight from the fulcrum:

(First weight mass × First weight distance) = (Second weight mass × Second weight distance)

(5 kg × 6 m) = (3 kg × Second weight distance)

Second weight distance = (5 kg × 6 m) / 3 kg

Second weight distance = 10 m

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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