Question

In: Physics

Determine the magnitude of the resultant force. Determine the coordinate direction angle α of the resultant force.


Determine the magnitude of the resultant force. Determine the coordinate direction angle α of the resultant force. Determine the coordinate direction angle β of the resultant force.Determine the coordinate direction angle γ of the resultant force.   

Solutions

Expert Solution

F1 can be written as:

F1 = 90*(4/5) x + 90*(3/5) y

      = 72 x + 54 y

F2 can be written as

F2 = 150 cos 60 sin 45 x + 150 cos 60 cos 45 y + 150 sin60 z

     = 53 x+ 53 y + 130 z

F3 = 200 z

F= F1 + F2 + F3

= 125 x + 107 y + 330 z

Magnitude of force = cube root (125^3 + 107^3 + 330 ^3)

     = 339.5 N

Cos Alpha = x / sqrt (x^2+y^2+z^2)

    = 125 / sqrt (125^2 + 107^2 + 330^2)

    = 125 / 368.75

Alpha = 70 degree

Cos Beta = y / sqrt (x^2+y^2+z^2)

    = 107 / sqrt (125^2 + 107^2 + 330^2)

    = 107 / 368.75

Beta = 73 degree

Cos gama = z / sqrt (x^2+y^2+z^2)

    = 330 / sqrt (125^2 + 107^2 + 330^2)

    = 125 / 368.75

gama = 26.5 degree


Related Solutions

Determine the magnitude and direction of the resultant force. Show your work. A. R = 80.3...
Determine the magnitude and direction of the resultant force. Show your work. A. R = 80.3 lb, = 106.2° B. R = 80.3 lb, = 73.8° C. R = 72.1 lb, = 63.6° D. R = 72.1 lb, = 116.4°
Magnitude of the resultant force
Determine the magnitude of the resultant force acting on the gusset plate and its direction.
Find the magnitude and the direction of the resultant force that acts upon the elbow which...
Find the magnitude and the direction of the resultant force that acts upon the elbow which is located on the horizontal plane. Diameter of pipe at section (1) is D1=10 cm, pressure is P1=150000 Pa , the diameter at section (2) is D2= 5 cm and the discharge is Q=0.025 m3/s.(pwater= 1000 kg/m3) Use Formula: ∑f equal to pQv2-pQv1
2-4. Determine the magnitude of the resultant force acting on the bracket and its direction measured counterclockwise from the positive u axis.
2-4. Determine the magnitude of the resultant force acting on the bracket and its direction measured counterclockwise from the positive u axis.
if f1=600N and theta=30°, determine the magnitude of the resultant force acting on the eyebolt and...
if f1=600N and theta=30°, determine the magnitude of the resultant force acting on the eyebolt and its direction measured clockwise from positive x axis
If F= 80 N, determine the magnitude and coordinate direction angles of the ouple moment. The...
If F= 80 N, determine the magnitude and coordinate direction angles of the ouple moment. The pipe assemblylies in the x-y plane.
Calculate the magnitude and direction of both the equilibrant and the resultant of the following three...
Calculate the magnitude and direction of both the equilibrant and the resultant of the following three vectors: 0.4N at 60°, 0.5N at 30°, and 0.2N at 330° .The object of this experiment is to demonstrate the vector property of forces and to gain experience in the addition of vector quantities.
Find the magnitude and direction of the resultant of two concurrent forces of 50 and 75...
Find the magnitude and direction of the resultant of two concurrent forces of 50 and 75 N acting on a body at angle of 50 degrees with each other Use the graphical method and the algerbraic method
Determine the coordinate direction angles of F1.
Determine the coordinate direction angles of F1.
Find the resultant (magnitude and direction) of these forces: 300 N at 00 and 400 N...
Find the resultant (magnitude and direction) of these forces: 300 N at 00 and 400 N at 1500. After falling from a cliff that is 100 m high, a 30 kg rock hits the ground below. Neglecting air resistance, how fast was it moving just as it hit? How much heat will it take to completely melt 2 kg of lead that is at 2270 C? What is the mutual attractive gravitational force between two people, each with a mass...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT