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ID: apyvu0n5ba
Problem: Two mobile cranes lift a precast concrete panel together. Their cable forces must add up to 8 kN vertically upward. The cable of crane A makes \(20^\circ\) with the vertical, and the cable of crane B makes \(35^\circ\) with the vertical on the other side. Find the force in each cable.
Reference materials
Engineering Mechanics: Statics
Vector Mechanics for Engineers: Statics
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Engineering Statics: Open and Interactive
Community members
Notes, problems and apps on the same topics
Split a force into components along any two given directions, and see why oblique components are not projections.
Find the resultant of two or more forces with the parallelogram law, the triangle rule and the laws of sines and cosines.
Write a force by its x and y components, in scalar and Cartesian vector form, and get its magnitude and direction back.
Use the dot product to find the angle between two lines and the parallel and perpendicular components of a force.
Split a force into two parts along any two directions, perpendicular or not, or into x and y parts from an angle or a slope, with every step shown on the drawing.
Drag two or more forces and watch their resultant appear by the parallelogram, triangle or polygon rule, with the magnitude and direction worked out live.
Add any number of forces in a plane with a clear component table and a force polygon, or find the force that is missing, that balances the others or that turns the resultant to a wanted direction.
See what the dot product means: the angle between two directions and the part of a force along a line, drawn in 3D with its perpendicular part and a right-angle mark.
Start statics here: its basic models and principles, SI and U.S. units, and a five-step method for solving problems, with practice problems and unit converters.
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