Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357112311
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 10, Problem 34P
To determine
Find the sum of moments created by the forces at points A, B, C, and D shown in the accompanying figure.
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A tower shown in the figure is supported by AB and AC cables. A worker of the tower A 12m long rigid rope ties to point A (| AE | = 12m) and applies a constant force of 120N to the rope. The angle between the tower and the AE rope is 30 °. The pull of cables and rope applied to point A knowing that the sum (composition) of the forces is in the downward direction (along the y-axis) (point O is the origin);
1) Write the coordinates of the A point.
2) Write the coordinates of the B point.
3) Write the coordinates of the C point.
4) Write the unit vector () of the force in the AB cable.
5) Write the unit vector () of the force in the AC cable.
6) Write the unit vector () of the force in the string AE in terms of θ.
7) What should be the angle θ if the pulling forces in the AB and AC cable are to be equal? 8) If the maximum pulling force in the AB cable is desired, calculate the angle provided that 0 ° <? <180 °.
2) The rigid rod shown below is free to rotate about O.
a) Draw the FBD and IRD of the system.
b) Clearly define a new coordinate system using polar coordinates.
c) Determine the reaction forces at O as a symbolic relationship to the bar's mass, length,
and applied moment. Your final answer should be the x- and y-coordinates of the reaction
forces.
d) The applied moment is 20 ft-lb, the rod moves counterclockwise at 4 rad/s, it weighs 10
Ib and is 2 ft long. Calculate the reaction forces in Ib. Express your final answer in
rectangular coordinates.
j
M
i
L-
Determine the moment of force at point O due to applied force given in image.
Chapter 10 Solutions
Engineering Fundamentals: An Introduction to Engineering
Ch. 10.2 - Prob. 1BYGCh. 10.2 - Prob. 2BYGCh. 10.2 - In your own words, explain what we mean by...Ch. 10.2 - Prob. 4BYGCh. 10.2 - Prob. BYGVCh. 10.4 - Prob. 1BYGCh. 10.4 - Prob. 2BYGCh. 10.4 - Prob. 3BYGCh. 10.4 - Prob. 4BYGCh. 10.4 - Prob. 5BYG
Ch. 10.4 - Prob. BYGVCh. 10.6 - Prob. 1BYGCh. 10.6 - Prob. 2BYGCh. 10.6 - Prob. 3BYGCh. 10.6 - Prob. 4BYGCh. 10.6 - Explain what is meant by modulus of elasticity and...Ch. 10.6 - Prob. 6BYGCh. 10.6 - Prob. BYGVCh. 10 - Prob. 2PCh. 10 - An astronaut has a mass of 68 kg. What is the...Ch. 10 - Prob. 4PCh. 10 - Former basketball player Shaquille ONeal weighs...Ch. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Calculate the pressure exerted by water on the...Ch. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - Prob. 13PCh. 10 - If a pressure gauge on a compressed air tank reads...Ch. 10 - Prob. 15PCh. 10 - Calculate the pressure exerted by water on a scuba...Ch. 10 - Prob. 17PCh. 10 - Using the information given in Table 10.4,...Ch. 10 - Bourdon-type pressure gauges are used in thousands...Ch. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Determine the pressure required to decrease the...Ch. 10 - SAE 30 oil is contained in a cylinder with inside...Ch. 10 - Compute the deflection of a structural member made...Ch. 10 - Prob. 28PCh. 10 - A structural member with a rectangular cross...Ch. 10 - Prob. 30PCh. 10 - Prob. 31PCh. 10 - Prob. 32PCh. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Calculate the shear modulus for a given...Ch. 10 - Prob. 37PCh. 10 - Prob. 38PCh. 10 - Prob. 39PCh. 10 - Obtain the values of vapor pressures of alcohol,...Ch. 10 - Prob. 41PCh. 10 - Prob. 42PCh. 10 - Prob. 43PCh. 10 - We have used an experimental setup similar to...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - Prob. 47PCh. 10 - Prob. 48PCh. 10 - Prob. 49PCh. 10 - Prob. 50P
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- Q2- Determine the magnitude and position of the resultant of the four parallel forces acting on the rocker arm of the figure. 50N 40N 20 N ఈ N 4 m 5 marrow_forwardThe magnitude of the force P is 405 N. Determine the magnitude of the moment (Nm) of P about the line CE. Round off only on the final answer expressed in 3 decimal places. G F y P 600 mm A 500 mm m 360 mmarrow_forward2. The forces F1, F2, and F3 act as shown. Find the x, y, and z components of each force, and the resultant force. Express the resultant force as its magnitude and its angles with the respective x, y, and z axes, a, ß, and y. F₁ = 90 N Z F3 = 200 N 60° F₂ = 150 N 45°arrow_forward
- ENGINEERING MECHANICS STATICS Example 6\ The tether of the balloon exerts an 800-N force F on the hook at O. The vertical line AB intersects the x z plane at point A. The angle between the z axis and the line OA is 60 , and the angle between the line OA and F is 45. find the three components Fx, Fy, Fz Farrow_forwardy F1, F2 and F are aplied to a ring as in the figure. a) Resolve F1, F2 and F3 into their rectangular components in xy plane and show them in Cartesian vector notation. a b) Find the magnitude of the resultant force (R) in terms of a F. b c) Determine F provided that the resultant force acting on the ring is required to be minimum. d) Calculate the magnitude and the angle from the x axis (in the CCW direction) of the resultant force using F obtained in the previous part (c). F1 F2 F3 a (alfa) b a 200 N F 200 N 15° 15° 3 4arrow_forwardDetermine the reference moment in relation to the x and y axes in the following figure:arrow_forward
- 1 ft 3 ft B 3 ft 3 ft (-9002 + 800f + 1000k) Ib.ft 6 ft 3 ft E (-300î – 400ĵ + 100k) Ibs The applied force at point E and the applied couple moment at point D are shown in the figure. Complete/calculate the following: (Where applicable, express the results as the (x, y, z) components of a Cartesian vector) 1. Draw the free-body diagram (FBD), showing the appropriate reaction forces and/or moments at the supports. (You must show the reactions in their component form i.e. show RAx, MRAX etc. on the FBD). Note: The support at point A is not able to resist a moment about the 'X' axis but is able to resist a force in this direction. 2. The unit vector ÅBc 3. The position vector Tɛ/a 4. The position vector īB/aarrow_forwardThe frame shown in the figure is supported by a hinge at A and a roller at E. Compute the vertical components of the hinge forces at C as they act upon member AC in kN. P = 28 k N and x = 3.0 m. Write numerical value only and in 2 decimal places.arrow_forwardThe magnitude of the force P is 772 N. Determine the magnitude of the moment (Nm) of P about the line CF. Round off only on the final answer expressed in 3 decimal places. B G 600 mm F m 360 mm 500 mmarrow_forward
- : the shaded triangle is parallel to the xy plane and all the applied forces are perpendicular to it. This means that the force only have k-components.arrow_forwardFor the figure shown, Determine the Moment of P kN force about point O in vector form. Determine the Moment of Q kN force about point O in vector form. Determine the Moment of Y kN force about axis OC in vector form.arrow_forward2. Determine the moment of Inertia of the quarter of the circle shown in the figure a. With respect to the given axis. b. With respect to a centroidal x-axis. Y x+y =r Xarrow_forward
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