Force F1=950 N has an angle of 30° with positive x-axis
and Force F2=550 N has...
Force F1=950 N has an angle of 30° with positive x-axis
and Force F2=550 N has an angle of -65° with positive x-axis. Find
the values for F1x, F1y, F2x, F2y, Sum of Fx, Sum of Fy, and
FR.
Vector has a magnitude of 7.00 units and makes an
angle of 39.5° with the positive x-axis.
Vector also has a magnitude of 8.00 units and is
directed along the negative x-axis. Using graphical
methods find the following.
(a) The vector sum + .
Magnitude of A + B:
units
Direction of A + B:
° counterclockwise from +x-axis
(b) The vector difference - .
Magnitude of A - B:
units
Direction of A - B:
° counterclockwise from +x-axis
The magnitudes of F1, F2 and F3 are 300, 190 and 250 N,
respectively. F1 is directed on the slope m =
0.6 m/m. F2 is directed alpha = 0.17 radians from F1. F3 is
directed beta =123 degrees from F2.
Determine the direction of the Resultant in degrees measured
counter-clockwise from the + x-axis.
A force F⃗ of magnitude F making an angle
θ with the x axis is applied to a particle
located along axis of rotation A, at Cartesian coordinates (0,0) in
the figure. The vector F⃗ lies in the xy plane,
and the four axes of rotation A, B, C, and D all lie perpendicular
to the xy plane. (Figure 1)
A particle is located at a vector position r⃗ with
respect to an axis of rotation (thus r⃗ points from...
Given the vector F1 = 100 N,
Ѳ1 = 20o , and F2
= 200 N, Ѳ2 = 90o and
F3= 300 N, Ѳ3
=220o . Find the magnitude and direction of the
resultant F= F1 +
F2 + F3
using the following method:
Analytical: Use the component method.
(6pts.)
Graphical: Use the polygon method.
(6pts.)
Use a percent error calculation to determine how close the
graphical result are to the analytical method.
The Fibonacci numbers are recursively dened by F1 = 1; F2 = 1
and for n > 1; F_(n+1) = F_n + F_(n-1): So the rst few Fibonacci
Numbers are: 1; 1; 2; 3; 5; 8; 13; 21; 34; 55; 89; 144; : : : There
are numerous properties of the Fibonacci numbers.
a) Use the principle of Strong Induction to show that all
integers n > 1 and m > 0
F_(n-1)F_(m )+ F_(n)F_(m+1) = F_(n+m):
Solution. (Hint: Use...
Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian vector. State the magnitude and coordinate direction angles of the resultant vector.
A force F1with magnitude 10 acts in the direction of θ1= 30◦ and
another force F2 with magnitude 14 acts in a direction of θ2= 280◦.
Find the magnitude and the direction of the resultant force
F1+F2.