200 lb 30° 150 lb 100 lb

Bruce begins 7 kilometers to the north of town and rides his bike along a straight trail which leads to a park 3km west of town. It takes him 20 minutes to cover this distance. Write a vector in component form that describes his ride while also finding the magnitude and direction of this vector. Also, find the component of Bruce's motion which is in the direction of SW using a unit vector that uses both forms of the dot product (algebraic and geometric), then write parametric equations expressing his motion with the town being represented by the origin and t=0 being his starting point. Using these equations, what is his position after 5 minutes? Then eliminate the parameter to get a rectangular equation for this linear path and verify algabraically amd graphically that this equation represents the line.

Add the following Forces analytically to find the resultant vector, the magnitude of the resultant vector and the direction the resultant vector is going. F1= 350 N @ 105° F2= 450 N @ 2030 F3= 350 N @ -36° F4= 250 N i - 300 N j Fs= -150 N i-350 N j

A force F, of magnitude 5.70 units acts at the origin in a direction 40.0° above the positive x axis. A second force F, of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F, + F magnitude units direction counterclockwise from the +x axis Need Help? Read

Suppose you walk 87 m to the north, stop and turn to your right through an angle of 42.1°, and then walk in that direction another 76.2 m. Find the direction of the vector extending from your starting to your ending location. Express your answer as an angle relative to east. 0 N of E Report your numerical answer below, assuming three significant figures, D

Problem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B = 300 N 270° counterclockwise from the y axis. Find the resultant R= A + B by addition of scalar components. Problem 5: Consider the picture below. Find the tension T, tension Ta tension T₂

A displacement vector points in a direction of θ = 23° left of the positive y-axis. The magnitude of this vector is D = 155 m. Refer to the figure. Enter an expression for the x-component vector, Dx, in terms of D, θ, and the unit vectors i and j.

A force vector has components given by F = -7.45 N and F. = 4.40 N. Find the following. y (a) the magnitude of the force (b) the direction of the force, measured counterclockwise from the positive x-axis O counterclockwise from the +x-axis Nond H n

Figure a H tā V Rank the vector combinations on the basis their angle, measured counterclockwise from the positive z axis. Vectors parallel to the positive z axis have an angle of 0°. All angle measures fall between 0 and 360° Rank from largest to smallest. To rank items as equivalent, overlap them. View Available Hint(s) largest The correct ranking cannot be determined. a+b á+é á+da+ef+ë d Reset small

The system described below is in the xy plane: m₁ = 6.5 kg at the coordinates x = 1.0 m and y = 6.0 m; m₂ = 5.5 kg at the coordinates x 2.0 m and y = 8.0 m and mg₃ = 8.0 kg at the coordinates x = -3.0m and y = -5.0 m. Make the graphical representation of each of the masses of the system. Determine the position of its center of mass and place it correctly in your graphical representation.