Engineering Statics · Vectors, moments, couples, and equivalent force systems
A force of magnitude 480 N acts through the origin in the direction of the vector 3i −…
Problem
A force of magnitude 480 N acts through the origin in the direction of the vector 3i − 6j + 2k. Express the force as a Cartesian vector and determine its direction cosines.
Hint
A force in a given direction is the magnitude times the unit vector along that direction.
Check your work
Work the problem yourself first. Then open it in Training to check your answer and read the full worked solution.
Create a free account to check your answer and see the solution. Create a free account.
More Engineering Statics practice problems
- Resolve the 1.5 kN force that acts from P(2 m, −1 m, 2 m) to Q(−1 m, 3 m, 0) into a…Vectors, moments, couples, and equivalent force systems
- Beam QR of length 5.2 m is supported by a roller at Q and a pin at RParticle and rigid-body equilibrium
- A pliers-type cutting tool has handles OA and OB of length 180 mm pivoted at O, and…Particle and rigid-body equilibrium
- A clutch plate transmits torque through dry frictionTrusses, frames, and machines
- A thin plate occupies the region bounded by y = √x, y = 0, and x = 9 (x and y in inches)Trusses, frames, and machines
- A T-section is built from a 140 mm × 20 mm flange centered on the y-axis with its top…Distributed loads, centroids, and resultants
- A parabolic cable under uniform horizontal loading of intensity w₀ = 2.10 kN/m spans L…Distributed loads, centroids, and resultants
- A pushed block tips before it exhausts static frictionDry friction and impending motion
- Four supporting cable segments give an ideal four-to-one block tacklePotential energy and virtual work