Concept explainers
Two forces act on a point object as follows: 100 N at
Find their resultant.
The resultant force due to the two forcesacting on an object, which are as follows:
Answer to Problem 42SP
Solution:
Explanation of Solution
Given data:
Two forcesacting on a point are as follows:
Formula used:
The resultant
Here,
The expression for the direction of the resultant force is
Here,
Explanation:
Draw the schematic diagram of the problem:
Find the x- and y-components of each force. These components are as follow:
Force | x-component | y-component |
Sum |
Recall the expression of the magnitude of the resultant:
Substitute
Draw a schematic diagram for the resultant of both forces.
In the above diagram,
Recall the expression of the angle:
Rearrange for
Substitute
This is the angle of the resultant with the negative x-axis. Therefore, the angle of the resultant with the positive x-axis should be
Conclusion:
The magnitude of the resultant is
Want to see more full solutions like this?
Chapter 3 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
- In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the light, four students pull with force 98 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the tight, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction?arrow_forwardFind the magnitude of the resultant of the concurrent forces if θ = 24.04° , β = 33.61°, F = 142.42, Q = 61.43, and P = 113.54. Round off only on the final answer expressed in 3 decimalsarrow_forwardPROBLEM 02 Find the angle between two vector forces whose maanitudes are F and 3F and the magnitude of whose resultant 19 3F.arrow_forward
- Three forces act at the same point as Shown. Determine the magnitude (N) of the resultant. Consider the Pollowing 5= 195 N 199N F3 : 16A N 400 37°arrow_forwardThe upper leg muscle (quadriceps) exerts a force of Fo= 1300 N, which is carried by a tendon over the kneecap (the patella) at the angles shown in the figure below. 55 Fo 75° Find the magnitude in newtons and direction in degrees counter-clockwise from an axis directed to the left of the force exerted by the kneecap on the upper leg bone (the femur). magnitude N direction ° counter-clockwise from an axis directed to the leftarrow_forwardThree forces 20N, 30N, and 40N are in equilibrium. Find the angle between the 30N force andthe 40N force.arrow_forward
- Three forces act on a box. F1= +87.0 N (WEST), F2= +37.0 N (EAST), and F3= -94.0 N (WEST). What is the total force acting on the box?arrow_forwardAt what angle 9 must the 410-lb force be applied in order that the resultant R of the two forces have a magnitude of 950 lb? For this condition what will be the angle 3 between R and the horizontal? 410 lb 720 lb Answers: 0= i 38 B = i ♡ 0arrow_forwardFind the tensions in each of the three ropes (in N), given m2 = 10.0 kg and ?3 = 55.0°arrow_forward
- a dog weighing 54.3 N sits on a plank that makes a 25.0 degree angle with the ground. Find the components of the dog's weight force parallel and perpendicular to the plank.arrow_forwardDraw the FBD of this problem.An object weighing 95 N is suspended by two wires, the left wire makes an angleof 37 0 with the vertical while the right wire is projected 26 0 with the horizontal.Find the tension in each wire.arrow_forwardFive forces are acting on the cantilever beam AB.Find the resultant or a couple acting on the cantilever beam.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University