1. How to identify when to use scalar approach(M = F*d) or vector approach(M = vector×force)?(Use...
(10 points) The work done by a force is the scalar product of the force and displacement vectors, i.e W F x and the power is given by the dot product between the force and the velocity vector, i.e. P F.V . For a force vector, F 2x i+10y j- (x+5y) k and a displacement vector, x=t i+t j+2t k, calculate the work done by the force and the power required. Based on your answer, what can you say about...
1)Which of the following is/are true? I. Force is a scalar quantity. II. Force is a vector quantity. III. A force is a push or a pull between objects that occurs only when the objects are in physical contact. IV. Non-contact forces are also called action-at-a-distance forces. A) I and III only B)II and IV only C)II only D)I only E)II and III only 2)Which of the following is/are true? I. Mass is a vector quantity. II. Mass is a...
Please answer this ASAP!! Moment of a Force-Vector Formulation Learning Goal To use the vector cross product to calculate the moment produced by a force or forces, about a specified point on a member The moment of a force F about the moment axis passing through O and perpendicular to the plane containing o and F can be expressed using the veotor cross product, Mo x F. n a properly constructed Cartesian coordinate system he vector cross product can be...
1.) Vectors Can the x or y component of a vector ever have a greater magnitude than the vector itself has? Yes. The x component can, but the y component cannot. Yes, but only when the x and y components have equal magnitudes. Yes. Both components can. Yes. The y component can, but the x component cannot. No. Neither component can. 2.) A force vector has a magnitude of 370 newtons (N) and points at an angle of 53.0° below...
The general process (not referenced to Figure 1) to calculate the moment of a force about a specified axis is as follows:The magnitude of a moment about a line segment connecting points P and Q due to a force F applied at point R (with R not on the line through P and Q ) can be calculated using the scalar triple product,MPQ=uPQ · r × Fwhere r is a position vector from any point on the line through P...
(d) How is centripetal force produced? What is is direction? Can it be produced by non-uniform circular motion? If the circular motion is uniform (ie. the tangential speed is a constant), how does acceleration occur? (e) Define centrifugal force and indicate is direction What is is source? Which of Newton's Laws of Motion apply here? You may use a sketch to assist you in your answer. (I) Is a torque a scalar or a vector? If it is a vector,...
7) Calculate vector ĉ if vector ĉ is equal to the Cross Product of vector ä crossed with vector b, ¿ = axb ā= (4 m) + (-7 m) b = (10 N)X + (-3 N)9 8) A wrench is used to tighten a lug nut on a car, if the force F is applied to the wrench at a distance † from the center of the nut, the radius and force vectors are given as =(0.6 m)2+(-0.419 =(-12 N)X...
the furthest i could get is that the dot product between vector N and vector V, as well as vector X and vector V must be zero but that's about it. I get stuck when trying to use the cosine relation with the dot product but since the question doesn't allow me to write it in terms of an angle, i can't really use that. If someone could show me how this would help incredibly! 3. X is an unknown...
Use the scalar product to determine the parallel force component acting in BC, due to the 400 N force at C. 2 F-400 N 45° 30° 3 m 4 m
6 ture Supplement 4: Intro Vectors Worksheet B a vector (graphical, verbal, or mathematical) that is in: Provide an example of a) ID b) 2D c) 3D (graphi Outline the main vector operations we will use in class: a) Vector Addition b) Vector Subtraction c) Scalar Multiplication d) Vector Dot Product e) Vector Cross Product What is a resultant vector? 4 What is the component of a vector? 3,Define a unit vector. Give an example of a unit vector in...