posted by Megan

A school yard teeter totter with a total length of 5.46 m and a mass of 35.9 kg is pivoted at its center. A 17.7 kg child sits on one end of the teeter totter. Where should a parent push with a force of 272 N in order to hold the teeter totter level?

1. bobpursley

5.46/2 * 17.7g-272N*d=0 the sum of moments about any point equals zero. d is the distance away from the child, on the opposide side.

2. drwls

Since the board is balanced at the center, the weight of the board does not contribute a moment.

You must balance the moment (force x distance) applied by the parent with the moment due to the weight of the child.

272*X = (17.7 kg)*g*(2.73 m)

Solve for X in meters

Note that the child's mass has to be multiplied by g to get the weight force in Newtons.

## Similar Questions

1. ### Physics

A child sits on one side of a teeter totter of length 7.60 m, a distance of 49.7 cm away from the end of the beam. The child has a mass of 21.6 kg. Her mother has a mass of 43.6 kg. How far away from her end does she have to sit in …
2. ### Physics

A child sits on one side of a teeter totter of length 7.60 m, a distance of 49.7 cm away from the end of the beam. The child has a mass of 21.6 kg. Her mother has a mass of 43.6 kg. How far away from her end does she have to sit in …
3. ### Physics

a 10 foot long teeter-totter pivots in the middle. a 50 lb boy sits on one end. Where must a 100 lb boy sit to balance the beam?
4. ### physics

Juggles the clown stands on one end of a teeter-totter at rest on the ground. Bangles the clown jumps off a platform 2.7 m above the ground and lands on the other end of the teeter-totter, launching Juggles into the air. Juggles rises …
5. ### physics

A brother (mass 20 kg) and his big sister (mass 32 kg) want to play on a teeter-totter. The beam is 7 m long and has a mass of 41 kg. Suppose the brother sits at the end of his side, 3.5 m away from the pivot point. How far away from …
6. ### college physics

Juggles the clown stands on one end of a teeter-totter at rest on the ground. Bangles the clown jumps off a platform 2.5 m above the ground and lands on the other end of the teeter-totter, launching Juggles into the air. Juggles rises …
7. ### Math

A 40lb child sits at one end of a teeter-totter-totter which is 12 feet long and has the fulcrum in the center. How many feet from the fulcrum should a 60 lb child sit so the teeter-totter will balance?
8. ### Physics

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?
9. ### physics

Juggles the clown stands on one end of a teeter-totter at rest on the ground. Bangles the clown jumps off a platform 2.5 m above the ground and lands on the other end of the teeter-totter, launching Juggles into the air. Juggles rises …
10. ### science

Juggle and bangles are clowns.juggles stands on one end of a teeter-Ritter at rest on the ground.bangles jumps off a platform 2.5m above the ground and lands on the other end of the teeter-totter,launching juggles into the air.juggles …

More Similar Questions