Your 50 lb sister is seated at one end of a 12 ft teeter totter. If the fulcrum is in the center, what is the moment of her weight? If you weigh 100 lbs, how far from the fulcrum must you sit in order to balance her? (I thought it may be 6 feet)

the ends are 6 feet from the fulcrum at the center

about fulcrum it is 50 * 6 foot pounds

100 d = 50*6
d = 6/2 = 3 ft

are you guys sure that the answer

i mean really

To find the moment of your sister's weight, which is a measure of the turning effect or torque, you can multiply her weight by the distance from the fulcrum. In this case, her weight is given as 50 lb and the distance from the fulcrum to her is 12 ft/2 = 6 ft.

So the moment of her weight would be calculated as:

Moment = Weight x Distance

Moment = 50 lb x 6 ft

Moment = 300 lb-ft

Now, to find the distance you would need to sit from the fulcrum in order to balance her, we can set up an equation based on the principle of moments. According to the principle of moments, the total clockwise moment is equal to the total anticlockwise moment.

In this situation, the clockwise moment is your weight multiplied by the distance from the fulcrum (Unknown distance x 100 lb), and the anticlockwise moment is your sister's weight multiplied by her distance from the fulcrum (6 ft x 50 lb).

So we have:

Clockwise Moment = Anticlockwise Moment

Unknown Distance x 100 lb = 6 ft x 50 lb

Unknown Distance = (6 ft x 50 lb) / 100 lb

Unknown Distance = 3 ft

Therefore, you would need to sit 3 feet away from the fulcrum to balance your 50 lb sister when you weigh 100 lbs.