r dm mi | d— dr L- In the figure, a particle of mass m₁ is a distance d from one end of a uniform rod of length L and mass M. What is the magnitude of the gravitational force on the particle from the rod? NOTE: Give your answer in terms of the variables given and G. F ==
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- Let us name three perpendicular directions as right, up, and toward you as you might name them when you are facing a television screen that lies in a vertical plane. Unit vectors for these directions are r, u, and t, respectively. Consider the quantity (3u2t). (i) Is the magnitude of this vector (a) 6, (b) 3, (c) 2, or (d) 0? (ii) Is the direction of this vector (a) down, (b) toward you, (c) up, (d) away from you, or (e) left?between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
- Answer the following problem and show your complete solution. I need it ASAP. Plss answerP= SN kN I. For the force in the figure, determine the rectangular components along u and v axes if a = 20° y 60- a a P. 2. For the force Pin the figure, determine the components P, and Pa, if the former is directed 80° from the horizontal axis( a-axis) and the latter 20° to the same reference axis. Force P = FN kN is acting at a given angle of 60* from the x axis. P2 а- ахis P = FN kN P= MN kN 3. For the force system shown in the figure determine the horizontal and vertical components of each force. 3 P= SN kN %3D Page 1 of 2PROBLEM 1 Determine the x and y components of the forces in the figure. 150N 35° 120N ·560 PROBLEM 2 Determine the x and y components of the forces in the figure. 100N SON -480- 40° *Dimensions PROBLEM 3 The cylinder BD exerts on member ABC a force P directed along line BD. Knowing that I must have a 750-N component perpendicular to member ABC, determine: a. The magnitude of the force P, b. Its component parallel to ABC. p
- help me to figure out the solution tthank youDetermine F1 and the angle of Theta. If the magnitude of the resultant force acting on the eyebolt is 1000N and its direction measured clockwise from the positive x axis theta=30.In (Figure 1), l = 4 m and n = 4.5 m. Figure 11 B 8 F=600 N 3 m 1 of 1 Part A Determine the angle between the force and the line AB. Express your answer in degrees to three significant figures. 17 ΑΣΦ 0 = Submit Provide Feedback Request Answer vec ?
- Determine the magnitude of the y-component of force P (N) if P=104.4 N, Q = 64.4 N , θ= 58.6° and α = 40.97°. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the y-component.Correct answers are also given in data.FA 30 B FB = 800 N Suppose that FA = 790 N and 0 = 45° . (Figure 1) Determine the magnitude of the resultant force acting on the ring at O. Express your answer to three significant figures and include the appropriate units Determine the direction, measured counterclockwise from the positive x axis, of the resultant force acting on the ring at O. Express your answer using three significant figures.