A force P = 696 kN whose line of action passes through points A(3, 2, 1) and B(7, 7, 10). Determine the y-component of force P in kN. Write the numerical value only and in 2 decimal places.
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- A desperate hiker has to think fast to help his friend who has fallen below him. Quickly, he ties a rope to a rock of mass ma and makes his way over the ledge (see the figure). If the coefficient of maximum static friction between the rock and the ground is µ, and the mass of the hiker is mâ, what is the maximum mass of the friend, mc, that the rock can hold so the hikers can then make their way up over the ledge? Assume the rope is parallel to the ground and the point where the rope passes over the ledge is frictionless. mc = JuA force acts at the origin of a coordinate system in a direction defined by the angles θx = 69.3° and θz = 57.9°. Knowing that the y component of the force is –174 lb, determine (a) the angle θy, (b) the other components and the magnitude of the force.A particle, which remains at rest, is acted on by three forces F, G and H. The force F has magnitude 16N and is directed to the right and down, making an angle of 50 degrees with the horizontal. The force G has magnitude 7N and is directed to the left and down, making an angle of 50 degrees with the horizontal. Find the magnitude of the vector H, and the acute angle it makes with the horizontal. Give the magnitude to one decimal place and the angle to the nearest degree. What is the magnitude of H and what is the acute angle H makes with the horizon?
- A particle, which remains at rest, is acted on by three forces R, S and T. The force R has magnitude 32 N and is directed vertically downwards. The force S is directed to the left and up at 55◦ to the horizontal. The force T is directed to the right and up at 42◦ to the horizontal. Take the unit vector i to point horizontally to the right and the unit vector j to point vertically upwards as attached. Express the forces in component form, in terms of unknown magnitudes where appropriate. Find the magnitude of S in newtons to two significant figures.A block with a mass of m = 13 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 = 9.5 N. The second has a magnitude of F2 = 20.5 N and acts on the body at an angle θ = 12° measured from horizontal 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. 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. Find the block's acceleration in the x-direction, ax, in meters per second squared.Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitude of the charge of the electron, e = -1.60217662 × 10–19 C. Mass of the electron, me = 9.10938356 x 10–31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . +Y (8, –7), q2 = -48 µC at p2 = (-8, 11) and q3 = 21 µC at Coordinates of three charges in a 2D plane is given as follows: q1 = 39 µC at p1 P3 = (-14,9). These coordinates are given in centimeters.
- Two spheres A and B are placed in the arrangement shown below. If mA = 4m and mB = 8m, where on the dashed line should a third sphere C of mass 8m be placed so that the net force on it is zero? (b) If the distance between the two spheres A and B is 500 cm, find the location for the third sphere C so that the net force on it is zero. cm to the right of sphere B *answer for b*A force acts at the origin of a coordinate system in a direction defined by the angles a = 113.2° and Øß = 78.4°. Knowing that the z component of the force is -35 lb, determine (a) the angle y, (b) the other components and the magnitude of the force. At the end of your solution, draw a 3D sketch showing F and its components - similar to the first 3D example we did in class. (Hint: for this problem only you do not need to start your solution with a FBD. Do not include a sketch in the “Problem" section as you were not given a picture.) (Partial answer hint: F = 39.0 lb. Note: this partial answer hint is like checking the back of the book. You consider this as "given" information.) %3D may notA particle, which remains at rest, is acted on by three forces, P, Q and R, and no others, as shown in the diagram attached. The force P acts horizontally to the left, the force Q acts vertically upwards and the force R acts downwards and to the right at an angle of 30◦ to the horizontal. The magnitude of P is 52 N. Let the magnitudes of Q and R in newtons be Q and R respectively. Take the Cartesian unit vectors i and j to be in the opposite direction to P and in the same direction as Q, respectively. a) Find expressions for the component forms of the three forces P, Q and R. b) Hence or otherwise find Q to two significant figures.
- Compute the resultant of the concurrent forces shown in N. P1 = 265 N, P2= 303 N, P3 = 455 N, P4 = 192 N, 01 = 21, 02= 25, and 03= 10. Write numerical value only in 2 decimal places. P1 P4 03 8₂ + Y 0₁ P3 P2 + XProblem 5: An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F = 3 N, F2 = 10 N, and F3 = 5 N. When answering the questions below, assume the x-direction is to the right, and they-direction is straight upwards. F, F What is the net force in component form, in terms of F1, F2, F3, and the unit vectors i and j F = 7 8 HOME a F| i j 4 5 y d. F1 1 | 2 3 F2 F3 +| - END h P vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! What is the magnitude of the net force, in newtons? What is the angle e, in degrees, of the net force, measured from the +x-axis? Enter an angle between -180° and 180°. What is the magnitude, Ja of the acceleration, in meters per square second, if the block has a mass of 8.9 kg?Two forces are exerted on an object: a force A with an x-component of 9.00[N] and a y-component of -2.40[N], and a force B with an x-component of -13.30[N] and a y-component of 23.60[N]. Assuming these are the only two forces on the object, what is the magnitude of the net force on the object? Express your answer in N.