Equality of Moments
A lever with a mass of 3 kg and a length of 2 m is loaded at the end with weights with masses of 5 kg and 8 kg.
Find the place where the lever must be supported so that it is in balance.
Find the place where the lever must be supported so that it is in balance.
Correct answer:

Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
You need to know the following knowledge to solve this word math problem:
algebrabasic functionsUnits of physical quantitiesthemes, topicsGrade of the word problem
Related math problems and questions:
- 3 weights
A two-arm lever has a 0.5 kg weight on the left arm at a distance of 64 cm from the axis of rotation and a 0.8 kg weight at a distance of 30 cm from the axis of rotation. How far on the right arm must the 0.7 kg weight be placed for the lever to be in bal
- Equilibrium 15833
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest.
- Balance
The rod is 4.3 m long, hanging weights 9 kg and 15 kg on ends. Where is the center of the rod (distance from weight 9 kg) to be in balance?
- Supported 82872
An 8-meter-long swing is supported at the center. A 30 kg boy is sitting at one end. How far from the axis of rotation on the other side of the swing must the second boy of mass 40 kg sit?
- Proportional 83174
For the lever to be balanced, the arms' lengths must be inversely proportional to the weight ratio of the weights suspended on these arms. Complete the data: 30 cm, 10 cm, 4 kg, and? kg.
- Shoulders 69284
Two children with different weights sit on the swing, a lever with your shoulders. On the left side sits a child with a capacity of 30 kg, and on the right, a child with a capacity of 20 kg. One swing arm is 150 cm long. How would you seat the children so
- Physics - board, lever
A wooden board weighing 0.5 kg is placed on a table. How much of its length can it protrude over the edge of the table without falling if a weight weighing 0.2 kg is placed at its end?