Showing 1 to 20 of 2574 Questions

Question & Answer:

  • A sewer pipe is to be laid from station 10+00 to station 13+20 on a -1% grade, starting with invert elevation 326.32ft. At 10+00 Calculate invert elevations at each 50ft station along line.
  • Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x axis.

    Given:
    F1 = 600 N
    F2 = 800 N
    F3 = 450 N
    α = 45 deg
    β = 60 deg
    γ = 75 deg


  • Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis.

    Given:
    F1 = 80 lb
    F2 = 60 lb
    θ = 120 deg

  • Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x axis.

    Given:
    F1 = 250 lb
    F2 = 375 lb
    θ = 30 deg
    φ = 45 deg


  • Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive u axis.

    Given:
    F1 = 300 N
    F2 = 500 N
    α = 30 deg
    β = 45 deg
    γ = 70 deg

  • Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components.

    Given:
    F1 = 300 N
    α = 30 deg
    F2 = 500 N
    β = 45 deg
    γ = 70 deg

  • Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

    Given:
    F1 = 300 N
    F2 = 500 N
    α = 30 deg
    β = 45 deg
    γ = 70 deg

  • Determine the magnitude of the resultant force FR = F1 + F2 and its direction measured counterclockwise from the positive u axis.

    Given:
    F1 = 25 lb
    F2 = 50 lb
    θ1 = 30 deg
    θ2 = 30 deg
    θ3 = 45 deg

  • Resolve the force F1 into components acting along the u and v axes and determine the components.

    Given:
    F1 = 25 lb
    F2 = 50 lb
    θ1 = 30 deg
    θ2 = 30 deg
    θ3 = 45 deg

  • Resolve the force F2 into components acting along the u and v axes and determine the components.

    Given:
    F1 = 25 lb
    F2 = 50 lb
    θ1 = 30 deg
    θ2 = 30 deg
    θ3 = 45 deg

  • Determine the components of the F force acting along the u and v axes.

    Given:
    θ1 = 70 deg
    θ2 = 45 deg
    θ3 = 60 deg
    F = 250 N

  • The force F acts on the gear tooth. Resolve this force into two components acting along the lines aa and bb.

    Given:
    F = 20 lb
    θ1 = 80 deg
    θ2 = 60 deg

  • The component of force F acting along line aa is required to be Fa. Determine the magnitude of F and its component along line bb.

    Given:
    Fa = 30 lb
    θ1 = 80 deg
    θ2 = 60 deg

  • A resultant force F is necessary to hold the balloon in place. Resolve this force into components along the tether lines AB and AC, and compute the magnitude of each component.

    Given:
    F = 350 lb
    θ1 = 30 deg
    θ2 = 40 deg

  • The post is to be pulled out of the ground using two ropes A and B. Rope A is subjected to force F1 and is directed at angle θ1 from the horizontal. If the resultant force acting on the post is to be FR, vertically upward, determine the force T in rope B and the corresponding angle θ.

    Given:
    FR = 1200 lb
    F1 = 600 lb
    θ1 = 60 deg

  • Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components.

    Given:
    F1 = 250 N
    F2 = 150 N
    θ1 = 30 deg
    θ2 = 30 deg
    θ3 = 105 deg

  • Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

    Given:
    F1 = 250 N
    F2 = 150 N
    θ1 = 30 deg
    θ2 = 30 deg
    θ3 = 105 deg

  • Determine the magnitude and direction of the resultant force FR. Express the result in terms of the magnitudes of the components F1 and F2 and the angle φ.

  • If the tension in the cable is F1, determine the magnitude and direction of the resultant force acting on the pulley. This angle defines the same angle θ of line AB on the tailboard block.

    Given:
    F1 = 400 N
    θ1 = 30 deg

  • The riveted bracket supports two forces. Determine the angle θ so that the resultant force is directed along the negative x axis. What is the magnitude of this resultant force?

    Given:
    F1 = 60 lb
    F2 = 70 lb
    θ1 = 30 deg