![]() ![]() ![]() The two vertical components of tension must act together to balance the force of gravity. The only other force acting on the sign is the force of gravity. These cables exert tension forces on the sign and have horizontal and vertical components. There are two cables directed at angles to the horizontal and vertical axes. When added as vectors, they must add to 0 N. All the vertical forces balance and all the horizontal forces balance. There is no unbalanced force - the net force is 0 Newtons. If an object is at equilibrium, then the individual forces acting upon the object are balanced. Which of the following statements are true? List all that apply. The sign is in a state of static equilibrium. How can one apply equilibrium concepts to analyze a situation in which a sign is supported by cables?Ī sign is hung symmetrically from two cables which make an angle with the horizontal (see diagram). What is true about the forces if an object is at equilibrium? Where g is the acceleration caused by gravity alone. The force of gravity ( F grav) acting upon an object can be determined from the mass of an object using the equation: F grav = mass sine( ) where is the angle which the force makes with the horizontal.The upward component (F y) can be calculated as F tens cosine( ) where is the angle which the force makes with the horizontal.The horizontal component (F x) can be calculated as F tens ![]() The tension force has a horizontal and an upward component or effect on the sign. The two horizontal components are directed left and right and must balance each other. The two vertical components are directed upward and together they must balance the downward force of gravity. Thus, each tension force has a horizontal component (F x) and a vertical component (F y). It is the usual strategy to first resolve any force at angles to the axis into components or parts which are directed along the axis. In this situation, there are two forces which are at angles to the vertical and horizontal (the tension forces). Which of the following mathematical statements are true?ĭefinition of Equilibrium : Equilibrium is the condition in which all the individual forces acting upon an object are balanced. The vertical component of the tension force is F y the horizontal component is F x. The tension in each one of the cables is F tens. The Physics Classroom, Vectors and Motion in Two Dimensions Unit, Lesson 3, Part cĪ sign with a mass of m is hung symmetrically from two cables which make an angle of theta with the horizontal (see diagram). Reading: The Physics Classroom, Vectors and Motion in Two Dimensions Unit, Lesson 3, Part b The student should be able to perform calculations to mathematically relate the tension in a sign-supporting cable to the angle with the horizontal and the mass of the sign. The student should be able to physically analyze situations in which a weight is supported by two or more cables which extend at angles to the horizontal. Assignment 2D4: Static Equilibrium Analysis
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