"The Force Table" is a simple tool for demonstrating Newton’s First Law and the vector nature of forces. This tool is based on the principle of “equilibrium”. An object is said to be in equilibrium when there is no net force acting on it. An object with no net force acting on it has no acceleration. By using simple weights‚ pulleys and strings placed around a circular table‚ several forces can be applied to an object located in the center of the table in such a way that the forces exactly cancel
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a stochastic process with the following properties: (a.) The number of possible outcomes or states is finite. (b.) The outcome at any stage depends only on the outcome of the previous stage. (c.) The probabilities are constant over time. If x0 is a vector which represents the initial state of a system‚ then
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Two of his poems (“Breakfast Blue” and “Hash Browns”) lead to the artistic study‚ but they are located in separate section. “Breakfast Blue” is in “Fancy” section while “Hash Browns” is in “Imagination” section. There are some similarities and many differences between “Breakfast Blue” and “Hash Browns” in terms of form and content. In term of form‚ there are few similarities and many differences to consider in these two poems. “Breakfast Blue” and “Hash Browns” are similar in pattern. Both
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Acceleration Velocity Displacement Distance Time Definition 1. Acceleration is the rate of change of velocity with time. Velocity is a vector physical quantity; both magnitude and direction are required to define it. the length of an imaginary straight path‚ typically distinct from the path actually travelled by P. Distance is a numerical description of how far apart objects are. In physics or everyday usage‚ distance may refer to a physical length‚ or an estimation Time in physics is
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each of the following vectors in terms of and (a) (b) (c) (Total 4 marks) 2. The vectors ‚ are unit vectors along the x-axis and y-axis respectively. The vectors = – + and = 3 + 5 are given. (a) Find + 2 in terms of and . A vector has the same direction as + 2 ‚ and has a magnitude of 26. (b) Find in terms of and . (Total 4 marks) 3. The circle shown has centre O and radius 6. is the vector ‚ is the vector and is the vector . (a) Verify
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1.1.1 Show how to find A and B‚ given A+B and A −B. 1.1.2 The vector A whose magnitude is 1.732 units makes equal angles with the coordinate axes. Find Ax‚Ay ‚ and Az. 1.1.3 Calculate the components of a unit vector that lies in the xy-plane and makes equal angles with the positive directions of the x- and y-axes. 1.1.4 The velocity of sailboat A relative to sailboat B‚ vrel‚ is defined by the equation vrel = vA − vB‚ where vA is the velocity of A and vB is the velocity of B. Determine the velocity
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quantity which depends on direction a vector quantity‚ and a quantity which does not depend on direction is called a scalar quantity. Vector quantities have two characteristics‚ a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type‚ you have to compare both the magnitude and the direction. For scalars‚ you only have to compare the magnitude. When doing any mathematical operation on a vector quantity (like adding‚ subtracting‚ multiplying
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Mehran University College Of Engineering & Technology‚ Khairpur Mir’s VECTOR GROUPS ENGR. AHSANULLAH MEMON LECTURER DEPARTMENT OF ELECTRICAL ENGINEERING MUCET KHAIRPUR MIRS ZIGZAG CONNECTION OF TRANSFORMER The zigzag connection of tranformer is also called the interconnected star connection. This connection has some of the features of the Y and the ∆ connections‚ combining the advantages of both. The zigzag transformer contains six coils on three cores. Its applications are for the deviation
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MCV4U0 Vector Applications Name:__________________ Date:______________ 1. A ship sailing on the open sea leaves Port A for Port B at a bearing of N25oW. A wind of 6 km/h on a bearing of N10oE blows the ship off course. If the ship is capable of 35 km/h in still water‚ find the new speed and direction relative to the shore. 2. A boat is capable of 20 km/h in still water. You wish to cross the river to a point directly across from your present position. At what angle to the bank should
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Vector Notation Convert the following vectors to Cartesian form; (2 marks each) 1. 13 m on a bearing of 165° 2. 120 km/h 20° West of North 1. X Y Using soh cah toa X= 13cos(165-90) X= 3.3646475863 X= 3.4m Y= 13sin(165-90) Y= 12.5570357419 Y= 12.6m therefore‚ cartesian vector is [3.4‚-12.6] 2. X Y X=
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