The magnitudes and angles (counter-clockwise from the x-axis) of three forces are F1 = 40 N, angle=0°; F2 = 25 N, angle=70°; F3 = 20 N, angle=130°. All the forces lie in a horizontal plane. (A) Use the graphical method to find the resultant (vectorial sum) of the three forces. (Apply conversion 10 N→1 cm on paper) (B) Check your answer by applying the familiar analytical method (polar→ Cartesian → summation component-by- component → back to polar)

The magnitudes and angles (counter-clockwise from the x-axis) of three forces are F1 = 40 N, angle=0°; F2 = 25 N, angle=70°; F3 = 20 N, angle=130°. All the forces lie in a horizontal plane. (A) Use the graphical method to find the resultant (vectorial sum) of the three forces. (Apply conversion 10 N→1 cm on paper) (B) Check your answer by applying the familiar analytical method (polar→ Cartesian → summation component-by- component → back to polar)

Similar questions

A force is specified by the vector F = [(100)i + (-110)j + (70)k] N. Calculate the angles made by F with the positive x-, y-, and z-axes. Answers: ex= i 0 0y = i 0₂ = i O
Vector Ä has a magnitude of 10 units and a direction angle of 14° measured counterclockwise from the positive r-axis. Vector B has the same r-component as Ä, but its y-component is 3 times larger. What is the magnitude and direction angle of vector B?
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
The magnitude of vector A is 40.0 units and points in the direction 335° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector. Ax= Ay=
A vector A has a magnitude of 7 units and points in the -y-direction, while a vector B has double the magnitude of A and points in the +x-direction. What are the magnitude and direction of the following vectors? Give the directions of each as an angle measured counterclockwise from the +x-direction. (a) A + B magnitude direction (b) A - B magnitude direction (c) B-A magnitude direction unit(s) ° (counterclockwise from the +x-axis) unit(s) ° (counterclockwise from the +x-axis) unit(s) ° (counterclockwise from the +x-axis)
The x component of vector A is-28.5 m and they component is +50.0 m. (a) What is the magnitude of A? (b) What is the angle between the direction of A and the positive direction of x? (a) Number i (b) Number i Units Units <
The two vectors a and b in the figure have equal magnitudes of 13.3 m and the angles are 0₁ = 25º and 0₂ = 104°. Find (a) the x component and (b) the y component of their vector sum, (c) the magnitude of 7, and (d) the angle makes with the positive direction of the x axis. (a) Number (b) Number (c) Number (d) Number IN 8.8 18.5 20.5 65.7 Units Units Units 0₂ 3 3 m Units °(degrees) x
Two vectors are given by A = 3 1 + 61 and B = -1 1 + 2 ĵ. (a) Find A x B. k (b) Find the angle between A and B.
Vector A has y-component Ay = +9.6 m. A makes an angle of 32.0° counterclockwise from the +y-axis. (a) What is the x-component of vector A? (b) What is the magnitude of A?
Find the angle (in degree, measured from +x axis, ccw) of vector 3i-5j. hint: Your answer should be a positive value.