Determine the weight by using force

In summary, the problem involves a leg and cast with a combined weight of 210 N and a counterbalance weighing 140 N. The goal is to determine the weight w2 and angle α needed to balance the forces on the hip joint so that no force is exerted on it. This can be achieved by using Newton's first law and setting the sum of forces to be equal to zero.
  • #1
mandy9008
127
1

Homework Statement


The leg and cast in the figure below weigh 210 N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance w1 weighs 140 N. Determine the weight w2 and the angle α needed so that no force is exerted on the hip joint by the leg plus cast.
p4-18alt.gif



Homework Equations





The Attempt at a Solution


I do not even know where to begin.
 
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  • #2
hi mandy9008! :smile:

you need to get the three forces on the leg (two tensions and the weight) to add to zero :wink:

(and the tension in each string will be the same as the weight of the counterbalance)
 
  • #3


Hello =) !

You can use the first law's Newton.

The sum of forces must be egal to 0.

P + W1 + W2 = 0

Sorry for my english level, I'm French !

Good bye !
 

Related to Determine the weight by using force

What is the relationship between force and weight?

Force and weight are directly proportional to each other. This means that as force increases, weight also increases, and vice versa. This relationship is described by Newton's Second Law of Motion, which states that force is equal to mass times acceleration.

How can force be used to determine weight?

By using a spring scale or a balance scale, the amount of force exerted on an object can be measured. This force can then be converted into weight by using the formula weight = mass x acceleration due to gravity. By knowing the mass of an object and the acceleration due to gravity, its weight can be determined.

What is the difference between mass and weight?

Mass is the amount of matter an object contains, while weight is the measure of the gravitational force acting on an object. Mass is constant, while weight can vary depending on the strength of gravity. Mass is measured in kilograms, while weight is measured in newtons.

Can weight be measured in different units?

Yes, weight can be measured in different units such as pounds, kilograms, or newtons. However, it is important to note that these units are not interchangeable. For example, 1 pound is not equal to 1 kilogram or 1 newton. Conversion factors must be used to accurately convert between units.

What factors can affect the accuracy of using force to determine weight?

The accuracy of using force to determine weight can be affected by various factors including the precision of the measuring instrument, the location and strength of gravity, and the surface on which the object is placed. Other external forces such as air resistance or friction can also impact the accuracy of the measurement.

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