The position of the point relative to the foundations on which a body lies determines its stability in response to external forces. Thinking Conceptually There is an important principle that emanates from some of the trigonometric calculations performed above.

It has many important applications in hydraulics. The triangle below illustrates these relationships. If the sign is known to have a mass of 5 kg and if the angle between the two cables is degrees, then the tension in the cable can be determined.

Since Statics lab angle between the cables is degrees, then each cable must make a degree angle with the vertical and a degree angle with the horizontal. Why do the components of force only nearly balance? A particle is in equilibrium only if the resultant of all forces acting on the particle is equal to zero.

Once the components are known, they can be compared to see if the vertical forces are balanced and if the horizontal forces are balanced. The principle is that as the angle with the horizontal increases, the amount of tensional force required to hold the sign at equilibrium decreases.

If the net force is greater than zero the fluid will move in the direction of the resulting force. A key concept is the center of gravity of a body at rest: This question can be answered by conducting a force analysis using trigonometric functions. Fluids[ edit ] Hydrostaticsalso known as fluid staticsis the study of fluids at rest i.

Suppose the tension in both of the cables is measured to be 50 N and that the angle that each cable makes with the horizontal is known to be 30 degrees.

An engineering application of this concept is determining the tensions of up to three cables under load, for example the forces exerted on each cable of a hoist lifting an object or of guy wires restraining a hot air balloon to the ground. For example, consider the picture at the right that hangs on a wall.

The idea is that the tension, the angle, and the weight are related. The symbols I and J are usually used to refer to the moment of inertia or polar moment of inertia. The vector sum of all the forces is nearly equal to 0 Newton.

If the any two of these three are known, then the third quantity can be determined using trigonometric functions. Assuming that the sign is at equilibrium a good assumption if it is remaining at restthe two cables must supply enough upward force to balance the downward force of gravity.

When finished, click the button to view the answers. Use this information and the diagram below to determine the tension in the wire for each orientation. What is the weight of the sign? While a simple scalar treatment of the moment of inertia suffices for many situations, a more advanced tensor treatment allows the analysis of such complicated systems as spinning tops and gyroscopic motion.

The concept was introduced by Leonhard Euler in his book Theoria motus corporum solidorum seu rigidorum; he discussed the moment of inertia and many related concepts, such as the principal axis of inertia.

This is what we expected - since the object was at equilibriumthe net force vector sum of all the forces should be 0 N.56 CHAPTER 3. STATIC EQUILIBRIUM Two Important Facts for Working Statics Problems i) The force of gravity acts on all massive objects.

Statics Lab Name _____ Write up your answers to this lab including your calculations. Submit your finished lab in mi-centre.com Masses in Equilibrium % x A common physics lab is to hang an object by two or more strings and to measure the forces that are exerted at angles upon the object to support its weight.

The state of the object is analyzed in terms of the forces acting upon the object. Washington*University*in*St.*Louis* * StaticsLab* Introductory*Physics*Lab* * Fall**!! 4! Part)I:)Bicycle)Statics) This!lab!will!begin!with!a!couple!of.

we notice that the third force required for equilibrium to be established is a vector that has the same magnitude as the resultant, but points in ยบ the opposite direction.

R = -E Each dog's force has been resolved into its x- and y-components. Static Equilibrium Physics Lab IX Objective In this lab exercise the requirements for static equilibrium will be tested experimen-tally.

This will be done by analyzing problems of force balance, torque balance and a.

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