Statics

The two forces shown act in the x-y plane of the T-beam cross section. If it is known that the resultant R of the two forces has a magnitude of 3.8 kN and a line of action that lies 14° above the negative x-axis, determine the magnitude of F1 and the orientation è of F2.

  1. 👍 0
  2. 👎 1
  3. 👁 771
asked by Tim

  1. A description of the accompanying figure is required. Minimally, the directions of F1 and the magnitude of F2 are required.

    1. 👍 1
    2. 👎 0
    posted by MathMate

  2. The figure shown includes an x, y, and z axis. On the positive x-y plane, force F2 points toward the origin with a magnitude of 3kN and an angle theta between it and the positive x axis. On the negative x-y plane, force F1 points toward the origin with an angle of 27 degrees between it and the negative y axis.

    1. 👍 0
    2. 👎 0
    posted by Tim

  3. Do your homework, son.

    1. 👍 0
    2. 👎 2
    posted by Jake Grohs

  4. So you have three forces, the magnitude and angles of which two are known.

    You will need to first compile a table of known and unknown values.

    To avoid confusion, you need to follow these rules for describing forces:
    1. All angles are to be measured counter-clockwise from the positive x-axis.
    2. All forces should originate from the origin. If the force is towards the origin, add 180 degrees to convert it to originate from the origin.
    3. Unknown magnitude and angles should be given a variable name, so that forces can be summed along the x and y directions.

    So here's a summary table for you to complete (magnitudes are in N, and angles in degrees, measured CCW from +x axis). Remember all forces originate from the origin.

    Force magnitude angle (&alpha)
    F1 x -27
    F2 3 θ+180
    R 3.8 N -14

    Check the above table and draw a diagram to represent the forces.
    We can continue after that.

    1. 👍 0
    2. 👎 0
    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. statics

    A cantilever beam member made from steel with hollow circular cross section experiences an axial load of 300 KN (F1), and a vertical load of 200 kN (F2) as shown in the following figure. The outside diameter of the beam is 50mm

    asked by shane on August 4, 2012

  2. statics and strengths

    A cantilever beam member made from steel with hollow circular cross section experiences an axial load of 300 KN (F1), and a vertical load of 200 kN (F2) as shown in the following figure. The beam is 300mm long and fixed on one

    asked by shane on August 4, 2012

  3. Science

    I am trying to built a cross section of a beam. I need a strong light wood, that would give the best efficiency. A force of 1500lb is going to be applied on it. So i have to make sure it wont break. What is the best choice of wood

    asked by Panagiotis on October 28, 2010

  4. Math

    The following table represents the diameter of the cross section of a wire at continuous heights (feet) above the ground. Assume that each cross section is circular. Height(ft) 2 6 10 14 18 22 26 30 Diameter 2 2 2.0 1.8 1.6 1.5

    asked by Paige on December 4, 2011

  5. Math

    The following table represents the diameter of the cross section of a wire at continuous heights (feet) above the ground. Assume that each cross section is circular. Height(ft) 2 6 10 14 18 22 26 30 Diameter 2 2 2.0 1.8 1.6 1.5

    asked by Paige on December 4, 2011

  6. Math

    A rectangular beam is to be cut from the log into a circular cross section. If the strength of the beam is proportional to the width and the square of the depth, find the dimensions that will give the strongest beam

    asked by Chidera on September 11, 2019

  7. math

    a plane intersects a square pyramid perpendicular to its base but not through a vertex.The plane forms a cross section what is the shape of the cross section a)trapezoid b)triangle c)square d)rectangle

    asked by billy on March 9, 2016

  8. math help please

    a plane intersects a square pyramid perpendicular to its base but not through a vertex.The plane forms a cross section what is the shape of the cross section a)trapezoid b)triangle c)square d)rectangle

    asked by betty on March 9, 2016

  9. physics

    Calculate F_{\rm A} and F_{\rm B} for the beam shown in the figure . The downward forces represent the weights of machinery on the beam. Assume the beam is uniform and has a mass of 260 kg.

    asked by axxis on December 1, 2011

  10. mechanics of materials

    A steel beam with a rectangular cross section is bent to form an arc of a circle of radius 6 m. Calculate the maximum stress in the beam given that the depth of the beam is 6 mm and the Young's modulusfor steel is 210 MPa

    asked by dmkp on January 28, 2013

More Similar Questions