Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes.

Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Current Attempt in Progress Three astronauts, propelled by jet backpacks, push and guide a 100 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F₁ = 27 N, F₂ = 55 N, F3 = 39 N, 0₁ = 30°, and 03 = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis in the range of (-180°, 180°]) of the asteroid's acceleration? (a) Number i (b) Number Units Units Fy R
Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁ = 66 lb, F₂ = 60 lb, F3 = 25 lb, F4 = 74 lb, a = 88 in., b = 67 in., and 0 = 41° F₂ F₁ Answers: b R= (a) The force-couple system at O: Mo= O (181 i 1.28 On the x-axis x= i 7.09 On the y-axis y= B 17.5 ان F, (b) The line of action of the single resultant R: i+ 73.5 k lb-in. Ꮎ -x in. in. j) lb
A block of mass m = 1.85 kg is pushed a distance d = 3.15 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 32.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force.(b) Determine the work done on the block by the normal force exerted by the table.(c) Determine the work done on the block by the force of gravity.(d) Determine the work done by the net force on the block.
A block of mass M1 = 3 kg rests on top of another block of mass M2 = 5 kg. As shown in the figure, the top block is connected by a cord to a wall at left. The bottom block rests on a frictionless inclined plane of angle theta = 20o and has a force F applied to it down the plane. If the minimum force for which the bottom block will begin to slide has magnitude F = 2.5 N, what is the coefficient of static friction (us) between the two blocks?
Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F1 = 61 Ib, F2 = 74 lb, F3 = 43 lb, F4 = 57 lb, a = 73 in., b = 61 in., and 0 = 44°. F. |A F, F, F, Answers: (a) The force-couple system at O: R = i 176 i+ i 82.6 j) Ib Мо i -985.67 k Ib-in.
Write the solution on a paper and round to 4 decimal places
The system shown consists of 3 cables. For instance; cable C12 joins points 1 and 2. The coordinates of point 1 are (7.79, 0, 0) m, those of point 2 are (0, 7.58, 9.77) m, and those of point 3 are (0, 7.58, -9.77) m. The force P = 99 kN. Determine the force in cable C14.
A force F whose line of action coincides with the line joining points A and B has a y-component of 136.75N. If point A is at (-3,+1,+3) and point B is at (+3,+7,-3), find the value of force F.
A block of mass m = 2.90 kg is pushed a distance d = 7.80 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 24.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force. J(b) Determine the work done on the block by the normal force exerted by the table. J(c) Determine the work done on the block by the force of gravity. J(d) Determine the work done by the net force on the block.
Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140o from the positive x-axis, and force C acts at 15o 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. Using your FBD from problem 1) substitute the known weight and angles α and β into your equations, then solve them simultaneously to find the tensions in cables AC and BC . Fb= 117.92kn Fc= 93.507kn
Two masses mA =9.3kg and mB=6.1kg are on inclines and are connected together by a string as shown in the figure. The angles theta subscript A=700 and theta subscript B = 360 . In the absence of the friction, the force F is required to pull the masses at a constant velocity up the fixed inclines. The force F is now removed. What is the magnitude of the acceleration of the two blocks? Take g =9.81 m/s2, and express your answer using two decimal places.
The slope of the 4.1 kN force F is specified as shown in the figure. Express F as a vector in terms of the unit vectors i and j. Assume a = 9, b = 3. Answer: F = (i it i j) KN