Problem SetForce Vectors Problem Set160 force vector problems with step-by-step solutions, from the parallelogram law to the dot product: 6 warm-ups, 10 workouts and 4 challenges on each topic.120 of 160

Choosing Two Equal Forces

ID: 6rbnlj7iyf

Problem: Two forces of equal magnitude \(F\) act along the directions \((\theta, \phi) = (0^\circ, 60^\circ)\) and \((90^\circ, 60^\circ)\). A third force of 1 kN acts along \(-z\). Find \(F\) so that the resultant of the three forces makes \(45^\circ\) with the downward vertical, and the resultant.