(a)
To find: The two forces in unit vectors.
(a)
Answer to Problem 77P
The force applied by person P is
Explanation of Solution
Given:
The force applied by person P is
The force applied by person J is
Formula used:
Write the expression for the horizontal component of force.
Write the expression for the vertical component of force.
Write the expression of force in terms of a unit vector.
Substitute
Here, F is the magnitude of the force,
Calculation:
For person P:
The direction of force is between the positive x-axis and the positive y-axis.
Substitute
For Person J:
The direction of force is between the negative x-axis and the positive y-axis.
Substitute
Conclusion:
Thus, the force applied by person P is
(b)
To write: The force applied by person C.
(b)
Answer to Problem 77P
The force applied by person C is
Explanation of Solution
Given:
The resultant of three forces equal to zero.
Formula used:
The force applied by person C should be equal and opposite to the resultant sum of forces applied by person P and person J.
Write the expression for the force applied by person C.
Here,
Calculation:
Substitute
Calculate the magnitude of force
Calculate the angle of force.
Conclusion:
Thus, the force applied by person Cis
Want to see more full solutions like this?
Chapter 1 Solutions
Physics for Scientists and Engineers
- Vector B has x, y, and z components of 4.00, 6.00, and 3.00 units, respectively. Calculate (a) the magnitude of B and (b) the angle that B makes with each coordinate axis.arrow_forwardVector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .arrow_forwardConsider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.arrow_forward
- 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_forwardThe magnitude F (in newtons) of a force F and the magnitude G (in newtons) of a force G satisfy the vector equation Fi + Gj - 3Gi - 2j = 0 where i and j are the Cartesian unit vectors. What is the value of F?arrow_forwardIf the x- & y-components of the Sum vector are 5.1 N and -2.5 N, respectively, the magnitude of the Sum vector (N) isarrow_forward
- Find a vector v (in component form) so that the magnitude of vector v = 5 and when v is plotted in standard position (starting at the origin), it lies in Quadrant 2 and makes a 60 degree angle with the negative x-axis.arrow_forwardThe components of vectors ?⃗ and ?⃗ are given as follows: Ax = 5.1 Bx = -2.6 Ay = -5 By = -4.3 What is the magnitude of vector sum ? + ? choices: a. 2.5 b. 5.1 c. -9.3 d. 9.6 The equilibrant force is 5500 Dynes in magnitude and in the direction of 30 degrees South of East. Find the resultant force and direction. 5500 Dynes 170 degres 5500 Dynes, 150 degrees 5500 Dynes, 130 degrees 5500 Dynes, 30 degreesarrow_forwardA BLOCK ON A 25° –INCLINED PLANE IS BEING PULLED UP THE PLANE BY A FORCE P THAT MAKES AN ANGLE OF 40° WITH THE HORIZONTAL. IF P IS RESOLVED INTO COMPONENTS THAT ARE PARALLEL AND PERPENDICULAR TO THE INCLINED PLANE, AND THE MAGNITUDE OF THE PARALLEL COMPONENT IS 1000 DYN, WHAT IS THE MAGNITUDE OF P?arrow_forward
- Three forces when added produce a resultant force that is 100 N pointing 63° above the positive x-axis. If one of the forces is 50 N in the positive y direction and another is 100 N in a direction 45° below the positive x-axis, what are the magnitude and direction of the third force?arrow_forwardUse the component method of vector addition to find the components of the resultant of the four displacements shown in the figure. The magnitudes of the displacements are: A= 2.25 cm, B= 6.35 cm, C= 5.47 cm, and D= 4.19 cm.arrow_forwardFind a vector v (in component form) so that the magnitude of v = 392 and when drawn in standard position, vector v makes a 117 degree angle with the positive x-axis.arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill