PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Students have asked these similar questions
Find the moment about point A
resulting from the force of the
knee on the helmet, as shown.
Also, find the force F at the base
of the neck needed to resist this
moment.
Replace the two forces acting on the rectangular solid by a wrench. Write the force R and moment Mas vectors and specify the
coordinates of the point Pin the x-y plane through which the line of action of the wrench passes.
240 mm
450 mm
160 N
160 N
360 mm
Answers:
R= (i
it
j+ i
k) N
M-(
it
j+ i
k) N-m
Coordinates of point P.
(ху) - (
)mm
Specify the magnitude of the force for the wrench.
Specify the magnitude of the couple moment for the wrench.
Specify the point P(x, y) where its line of action intersects the plate.
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Similar questions
- A 1200 N-m couple moment is applied at B in the direction shown. Find the support reactions at O.arrow_forwardReplace the three forces acting on the plate by a wrench. Specify the magnitude of the force and couple moment for the wrench and the point P(y,z) where its line of action intersects the plate.arrow_forwardReplace the three forces acting on the rectangular solid with a wrench. Specify the magnitude of the moment Massociated with the wrench. Enter a positive number for M if the wrench acts in a positive sense, enter a negative number if it acts in the negative sense. Specify the (x,y,z) coordinates of the point P in plane ABCD through which the line of action of the wrench passes. Illustrate the wrench moment and resultant in an appropriate sketch. 25 N 95 mm. Answers: M= y= 55 mm, 29 40 mm 20 N 110 mm. B N-m mm mm mm 35 mm 30 Narrow_forward
- 6arrow_forwardReplace the two forces acting on the pole by a wrench. Write the force R and moment M associated with the wrench as vectors and specify the coordinates of the point P in the y-z plane through which the line of action of the wrench passes. Assume F₁ = 46 N, F₂ = 107 N, a = 1.6 m, b = 6.3 m. F₁ Answers: R=( i M = (i I Force and moment associated with wrench Coordinates of point P. (y,z) = (i F₂ T b i+ i ¡+ i i j+ i j+ ) m i k) N k) N-marrow_forward1. the tow truck's front wheels will belifted off the ground if the moment of the load W about the rear axle exceeds the moment of 3000N weight of the truck. Determine the largest w that may be safely applied 2. the flat plate shown in the figure is acted on by the three couples. replace the three couples with two forces, one acting along the line OParrow_forward
- Handle forces F1 and F2 are applied to the electric drill. Replace this force system by an equivalent resultant force and couple moment acting at point O. Express the results in Cartesian vector from. Determine the resultant force and the moment of the resultant forse about the point O. Express your answer in terms of the unit vectors i, j and k.arrow_forwardCalculate the moment MB of the 605-N force about the bolt at B. Simplify your work by first replacing the force by its equivalent force- couple system at A. The moment is positive if counterclockwise, negative if clockwise. Assume F = 605 N, r = 215 mm, h = 705 mm, 0 = 33°, = 38° Answer: MB = i Ꮎ h N.marrow_forwardQ-1 Caleulate the magnitude of the moment about the base point O of the 600-N force in five different ways. 600 N 0-2 Determine the moment of -875 mm- the 800-N force about point A and about point 0. 625 mm 30 F= 800 N F = 120 N 13 20 Q-3 In stendily turning the water pump, a person exerts the 120-N force on the handle as shown. Determine the moment of this force about point O. 150 mm Ans. Mo-14.74 N-m CWarrow_forward
- Replace the three horizontal forces and applied couple with an equivalent force-couple system at O by specifying the resultant R and couple Mo. Next, determine the equation for the line of action of the stand-alone resultant force R. ^1.2 m 1.2 m /0.6 0.4 m 5 kN m 0.9 m 62° 10 kN-m 11 kN 9 kN 0.4 marrow_forwardThe arm ABCD of the industrial robot lies in a vertical plane that is inclined at 40 to the yz-plane. The arm CD makes an angle of 30 with the vertical. A socket wrench attached at point D applies a 52-lb ft couple about the arm CD, directed as shown. (a) Find the couple-vector that represents the given couple. (b) Determine the moment of the couple about the z-axis.arrow_forwardTo lift the table without tilting, the combined moment of the four parallel forces must be zero about the x-axis and the y-axis (O is the center of the table). Determine the magnitude of the force F and the distance d.arrow_forward
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