1. Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140⁰ from the positive x-axis, and force C acts at 15° from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium.

1. Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140⁰ from the positive x-axis, and force C acts at 15° from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium.

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter4: The Laws Of Motion

Section: Chapter Questions

Problem 60AP: (a) What is the minimum force of friction required to hold the system of Figure P4.74 in...

See similar textbooks

Similar questions

Two forces, F1=(6.00i4.00j)N and F2=(3.00i+7.00j)N, act on a particle of mass 2.00 kg that is initially at rest at coordinates (2.00 m, + 4.00 m). (a) What are the components of the particles velocity at t = 10.0 s? (b) In what direction is the particle moving at t = 10.0 s? (c) What displacement does the particle undergo during the first 10.0 s? (d) What are the coordinates of the particle at t = 10.0 s?
An object of mass m = 1.00 kg is observed to have an acceleration a with a magnitude of 10.0 m/s2 in a direction 60.0 east of north. Figure P4.29 shows a view of the object from above. The force F2 acting on the object has a magnitude of 5.00 N and is directed north. Determine the magnitude and direction of the one other horizontal force F1 acting on the object. Figure P4.29
If the vector components of the position of a particle moving in the xy plane as a function of time are x(t)=(2.5ms2)t2i and y(t)=(5.0ms3)t3j, when is the angle between the net force on the particle and the x axis equal to 45?
(a) What is the minimum force of friction required to hold the system of Figure P4.74 in equilibrium? (b) What coefficient of static friction between the 100.-N block and the table ensures equilibrium? (c) If the coefficient of kinetic friction between the 100.-N block and the table is 0.250, what hanging weight should replace the 50.0-N weight to allow the system to move at a constant speed once it is set in motion? Figure P4.74
There are two forces on the 1.19 kg box in the overhead view of the figure but only one is shown. For F1 = 15.7 N, a = 14.7 m/s2, and θ = 34.1°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.)
A particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the expression for the external net force F(t) being applied to the particle? Note: i and j are unit vectors
Three forces act on an object, considered to be a particle, which moves with constant velocity v =(3 m/s)î +(−2 m/s)ĵ Two of the forces are shown in the picture below., while the third force, F_3 is not given. 1.) What are the x, y, and z components of F_3?
A person pulls at an angle of 0 = 34.0° on three connected crates of masses m¡ = 25.0 kg, m2 = 18.0 kg, and Pull m3 = 15.0 kg over a smooth horizontal floor, as shown in A В the figure. The crates are connected to each other by m, m, m3 identical massless, horizontal strings A and B, each of which can support a maximum tension of 45.0 N before breaking. What is the magnitude F, of the largest pulling force that can be exerted without breaking either of the strings?
According to a simplified model of a mammalian heart, at each pulse, approximately 20 g of blood is accelerated from 0.26 m/s to 0.35 m/s during a period of 0.10 s. What is the magnitude of the force exerted by the heart muscle? Express your answer to two significant figures and include the appropriate units. F= ______ units I got 0.02N but it is wrong.
A block with a mass of m = 46 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 10.5 N. The second has a magnitude of F2 = 23.5 N and acts on the body at an angle θ = 23° measured from horizontal, as shown. a) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b)Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. c)Find the block's acceleration in the x-direction, ax, in meters per second squared.
A block with a mass of m = 46 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 10.5 N. The second has a magnitude of F2 = 23.5 N and acts on the body at an angle θ = 23° measured from horizontal, as shown. a)Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b)Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid.
A block with a mass of m = 16 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 8.5 N. The second has a magnitude of F2 = 19.5 N and acts on the body at an angle θ = 11° measured from horizontal, as shown. a.) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. b.) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid. c.) Find the block's acceleration in the x-direction, ax, in meters per second squared.