PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The member is supported by a square rod which fits loosely through the smooth square hole of the attached collar at AA and by a roller at B. The member is subjected to the forces F1 = 350 N , F2 = 450 N , and F3 = 600 N .
Determine the normal reaction force of roller at B.
Determine the components of the reaction force of the support at A using scalar notation.
Determine the components of moment of the reaction at A using scalar notation.
Refer to the diagram and use g = 9.81 m/s2. Determine the moment about A due the weight of 60 kg mass, = ____ mN.
Assume the pulley at D is frictionless and the tension in the cable is T. Determine the vertical component of the force applied at E, Ey = ____.
Draw the free body diagram of the beam on paper, and write the equation of moment about A.
determine the tensional force in the cable, T = ____ N.
determine the vertical component of the force applied at E, Ey = ____ N.
determine the horizontal component of the reaction force at A, Ax = ____ N.
determine the vertical component of the reaction force at A, Ay = ____ N.
determine the magnitude of the reaction force at A, = ____ N.
Example
The device shown is a part of an automobile seat-
back-release mechanism. The part is subjected to
the 4-N force exerted at A and a 300-N mm restor-
ing moment exerted by a hidden torsional spring.
Determine the y-intercept of the line of action of the
single equivalent force.
F =4N
y
10 mm
15°
A.
40mm
300 N-mm
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- Serious neck injuries can occur when a football player is struck in the face guard of his helmet in the manner shown, giving rise to a guillotine mechanism. Determine the moment of the knee force P=50 lb about point A. What would be the magnitude of the neck force F (lb) so that it gives the counterbalancing moment about A? P = 50 lb- 2 in 66 6 in. 30arrow_forwardPlease show all work!arrow_forwardThe member is supported by a square rod which fits loosely through the smooth square hole of the attached collar at A and by a roller at B. The member is subjected to the forces F1 = 200 N , F2 = 350 N , and F3 = 500 N . Determine the normal reaction force of roller at B. Determine the components of the reaction force of the support at A using scalar notation. Determine the components of moment of the reaction at A using scalar notation.arrow_forward
- The 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_forwardExample The device shown is a part of an automobile seat- back-release mechanism. The part is subjected to the 4-N force exerted at A and a 300-N mm restor- ing moment exerted by a hidden torsional spring. Determine the y-intercept of the line of action of the single equivalent force. F=4N 10 mm 15° A 40 mm 3. 300 N-mmarrow_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_forward
- The blades of the portable fan generate a 1.0-lb thrust T as shown. Compute the moment Mo of this force about the rear support point O. For comparison, determine the moment about O due to the weight of the motor-fan unit AB, whose weight of 7.7 lb acts at G. The moments are positive if counterclockwise, negative if clockwise. Assume a = 9.0 in., b = 1.5 in., c= 12.5 in., d = 3.5in., e = 2.5 in., and 0 = 16% Air flow Answers: Due to thrust T Mo= Due to weight Mo= B 15.574 i -22.626 lb-in. Ib-in.arrow_forwardElements of the lower arm are shown in the figure. The weight of the forearm is 6.5 Ib with mass center at G. Determine the combined moment about the elbow pivot O of the weights of the forearm and the sphere. What must the biceps tension force be so that the overall moment about O is zero? The moment is positive if counterclockwise, negative if clockwise.arrow_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
- 1. Determine the reaction and moment at point A and draw the Shear force and Bending moment diagramsarrow_forward0.925 m 0.35 m 0.5 m 0.875 m 0.5 m H D 0.75 m 0.75 m Calculate the magnitude of the moment M about theon the frame by the portion BG of the cable. Tension in the cable is known to be 450 N. DO NOT ROUND UNTIL THE VERY END SO THAT YOU DO NOT INTRODUCE A LOT OF ROUNDING ERRORS. After your determine the magnitude of the moment ( determine the direction (clockwise or counterclockwise)arrow_forwardFind 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.arrow_forward
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