PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The combined action of the three forces on the base at O may be obtained by establishing their resultant through O. Determine the magnitudes of R and the accompanying couple M.Assume F1 = 620 lb, F2 = 600 lb, F3 = 590 lb, a = 7.2 ft, b = 2.5 ft, c = 2.7 ft, and θ= 51°.
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 m
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.
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- If the resultant of the two forces and couple * ?M passes through point O, Determine M 150 mm 150 M- 60° mm 30° 320 N 160 mm 400 N M= 148 N.m CCW M= 96 N.m CCW M= 148 N.m CW M= 96 N.m CWarrow_forwardQ6/ The motor mounted on the bracket is acted on by its 160-N weight, and its shaft resists the 120-N thrust and 25- N.m couple applied to it. Determine the resultant of the force system shown in terms of a force R at A and a couple M. Ans. M= -7 +9; + 245 N•m 200 mm 75 mm 160 N 25 N-m 75 mm 120 N 100 mmarrow_forwardThe top viewv of a revolving entrance door is shown. 0.8 m Two persons simultancously approach the door and exert forces of equal magnitudes as shown. If the resulting moment about the door pivot axis at a is 25 N .m, determine the force magnitude F from the following answers which of them is correct: 0.8 m 15° O M= 16.18 N.m O M= 0 N.m O M= 18.16 N.m M = 181.16 N.m O M= 161.8 N.marrow_forward
- Determine the required magnitude of force F if the resultant couple moment on the frame is 350 Ib.ft clockwise 2 ft-2 ft- B 30° 2 ft 150 lb 150 lb 2 ft 30 2 ftarrow_forwardThe pipe assembly is subjected to three forces of F1 = {3.00, 4.00, -2.00} kip, F2 = {0, 0,-4.00} kip, and F3 = {-3.00, 0, 0} kip. Determine the sum of the moment of the forces 1) about x-axis (the unit vector of x is i) and 2) about line AC. Express the result as a Cartesian vector.arrow_forwardShow the solution.arrow_forward
- 1. Determine the magnitude of the moment of the 200-N force about the x axis. Solve 0.3 m F= 200 N the problem using both a scalar and a 45 vector analysis. 120 60 0.25 m 2. The chain AB exerts a force of 20 lb on the 3 ft door at B. Determine the magnitude of the 2 ft moment of this force along the hinged axis x of the door. F= 20 lb B. 4 ft 3 ft 20°arrow_forwardIn steadily 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. Ans. Mo = 14.74 N m CW %3Darrow_forwardDetermine the force-couple system acting at point 0.arrow_forward
- The engines exert the following force vectors. Both exert a thrust of T=95kNarrow_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_forwardThe 10-N force is applied to the handle of the hydraulic control valve as shown. Calculate the moment of this force about point O. as shown in .the fig 20° F = 10 N 250 mm B' | 60° 37.5 mmarrow_forward
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