Question

In: Physics

A 3-D force vector has the following components: Fx= -30 N Fy= -20N Fz= 50 N...

A 3-D force vector has the following components:

Fx= -30 N Fy= -20N Fz= 50 N

Determine the magnitude and direction angles (angles with the x, y, and z axes) of this vector

Solutions

Expert Solution

magnitude = sqrt ((-30)^2 + (-20)^2 + 50^2) = 61.64N

angle with x axis = tan(theta) = Fy/Fx = -20/-30 = 2/3 therefore theta_x = 21.14 degree

angle with y axis = tan(theta) = Fz/Fy = 50/-20 = -2.5 therefore theta_y = -68.19 degree

angle with z axis = tan(theta) = Fx/Fz = -30/50 = -3/5 therefore theta_z = -30.96 degree


Related Solutions

Which of the following best indicates the components of a vector that measures 30 m at...
Which of the following best indicates the components of a vector that measures 30 m at 135°? a)<21, 21> m b)<-21, 21> m c)<21, -21> m d)<-21, -21> m A student runs off of a diving platform with a speed of 2.5 m/s and hits the water 0.8 seconds later. What is the height of the platform? 5.1 m 0.9 m 3.1 m 6.2 m Vector A has components A = <-2, 5> m/s and vector B has components B...
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.
A horizontal force with a magnitude of 30 N pushes a block which has a mass...
A horizontal force with a magnitude of 30 N pushes a block which has a mass of 4.19 kg on the floor which has a coefficient of kinetic friction of 0.51. How many Joules of work does the force do to the floor-beam system as the block travels 3.86 m along the floor? During movement on the floor, the heat energy in the block increases by 39.5 J. What is the Joule of increase in heat energy in the floor?...
The 500-N force F is applied to the vertical pole as shown 1. Determine the scalar components of the force vector F along the x'- and y'-axes. 2. Determine the scalar components of F along the x- and y'-axes
The 500-N force F is applied to the vertical pole as shown1. Determine the scalar components of the force vector F along the x'- and y'-axes. 2. Determine the scalar components of F along the x- and y'-axes.
find fx, fy and fz for the following function: f(x,y,z) = (xz/1-x2-y2)-3/4 if you can show...
find fx, fy and fz for the following function: f(x,y,z) = (xz/1-x2-y2)-3/4 if you can show working for the partial derivatives would be great thanks, Ben.
A 30 nC charge experiences a 0.035 N electric force.
A 30 nC charge experiences a 0.035 N electric force. What is the magnitude of electric field at the position of this charge?
A vector has components (4,2). When the vector is multiplied by the scalar 9, how does...
A vector has components (4,2). When the vector is multiplied by the scalar 9, how does its magnitude and direction change?
MATLAB. A three vector force system has forces as outlined, use a three element vector to...
MATLAB. A three vector force system has forces as outlined, use a three element vector to represent the x, y, and z terms respectively, F = [x_value, y_value, z_value]. Find the resultant force when: F1 has a magnitude of 120 N and is in the x-y plane, 35 degrees BELOW the positive x axis, F2 has a magnitude of 810 N and is in the x-z plane, 100 degrees ABOVE the positive x axis, and F3 has a magnitude of...
An applied force of 50 N is used to accelerate an object to the right across...
An applied force of 50 N is used to accelerate an object to the right across a frictional surface. The object encounters 10 N of friction. Determine the normal force, the net force, the mass, coefficient of friction and the acceleration of the object. (Fg=80N, Neglect air resistance.) A 5-kg object is sliding to the right and encountering a friction force that slows it down. The coefficient of friction (μ) between the object and the surface is 0.1. Determine the...
#3 Consider a system that is 30 % n-Butane, 40 % n-pentane and 30 % n-hexane....
#3 Consider a system that is 30 % n-Butane, 40 % n-pentane and 30 % n-hexane. a. Estimate the bubble pressure at a temperature of 80 C. What would be the composition of the vapor formed? b. Estimate the dew pressure at 80 C. What would be the composition of the liquid formed? c. Estimate the bubble temperature at a pressure of 2 atm? What would be the composition of the vapor formed? d. If this mixture was at 100...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT