For the following position [r] and force [F], determine the angle and the magnitude of the force along the position vector. Also determine the force vector along the position vector. F = (20i + 30j - 60k) N and r= (25i + 45j – 100k) N Angle between r and F Hdegrees] Magnitude of Force ALONG Position Vector - {N]

Q: A force is specified by the vector F = (160i + 120j - 180k) N. Calculate the angles made by F with…

A: Given data The force equation is given as F=160i+120j-180k N.   Now, from the given equation Fx =…

Q: When there is an angle between the force and the displacement, W = F•d cos 0. O True O False

A: The work done by a force is given by the dot product of the force and the displacement vector.…

Q: 3 Vectors of force A,B,C in a cartesian plane. The vectors are calculated in Newton (N).   The…

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Q: If the Resultant force acting on the bracket shown in Fig. 2b is to be 950N directed along the…

A: Given Data The resulatant force acting on the bracket is:FR=950 N To find The magnitude of force F…

Q: Determine the coordinate direction angle "gamma" of the force vector F=-117i+142j-129k N in degrees.

A: Given data: F→=-117 i^+142 j^-129 k^ X – coordinate of the force, Fx=-117 N Y – coordinate of the…

Q: Two 35 N forces act concurrently on a point P. Find the magnitude of their resultant when the angle…

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Q: Assume the following forces are acting on an object: F₁ = 40N at 165 degrees F2= 45N at 240 degrees…

A: The forces acting on the object are:The free-body diagram is;

Q: The resultant of the 50-N and 30-N forces is R. If R = 65 N, determine the angle ß. D 85° D 106° D…

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Q: PROBLEM 02 Tna the angle between two vector forces whose magnitudes are F and 3F and the magnitude…

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Q: Show that the force vector B = 2î – 4ĵ + k is orthogonal to the force vector ở = 3î + 43 + 10k. [2]

A: There are Two vectors -

Q: Determine the magnitudes of the projection of the force F onto the u and v axes, Fu and Fv,…

A: Component of a vector along θ angle = A Cosθ  Component of a vector perpendicular to θ = A Sinθ

Q: What is the angle between the two vectors i + 2j - 3k and 3i + 2j + k? Round your answer to the…

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