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.
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.
Consider two vectors F1 with magnitude 44 N inclined at 61 o and
F2 with magnitude 98 N inclined at 139 o , measured from the
positive x axis with counterclockwise positive.
Find the direction of this resultant vector (between the limits
of 0 and −180◦ from the positive x-axis). Answer in units of o .
Your answer must be within ± 5.0%
Vector A has a magnitude of 4 m/s and it is on the positive x
axis .
Vector B has a magnitude of 6 m/s and forms a 30 degrees angle
with the positive x axis.
Vector C has a magnitude of 8 m/s and forms a 60 degree angle
with the negative x axis.
Find:
a) The magnitude of A + B + C = D
Give your answer with two significant figures.
b) The angle vector D form...
Let the angle θθ be the angle that the vector A⃗A→makes with the
+x-axis, measured counterclockwise from that axis. Find
the angle θθfor a vector that has the following components.
PART 1:
Ax= 3.00 mm , Ay= -0.500 mm
Express your answer in degrees.
PART 2:
Ax= 1.80 mm , Ay= 3.30 mm
Express your answer in degrees.
PART 3:
Ax= -3.00 mm , Ay= 3.20 mm
Express your answer in degrees.
PART 4:
Ax= -1.20 mm , Ay= -3.40...