MindTap Engineering, 2 terms (12 months) Printed Access Card for Moaveni's Engineering Fundamentals, SI Edition, 5th
5th Edition
ISBN: 9781305110250
Author: MOAVENI, Saeed
Publisher: Cengage Learning
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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.
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M
i
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Chapter 10 Solutions
MindTap Engineering, 2 terms (12 months) Printed Access Card for Moaveni's Engineering Fundamentals, SI Edition, 5th
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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- A tower shown in the figure above is powered 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 (combination) of the forces is in the downward direction (along the y-axis) (point O is the origin); if the pull force on the AB cable desired to be maximum, 0 < θ < 180 angel calculate.arrow_forwardA force with a magnitude of 400 lbs acts at a point in a body shown. A. Determine the moment of the force about O. B. Determinealso the direction angles associated with the moment vector. C. Determine the moment of the force with respect to the x and y axes.arrow_forwardQ2- 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_forward
- For the force system shown, a fifth force F must be added so that the resultant of the five forces will be a 450 N force directed from B to D. (a) What is the magnitude of the fifth force F? (b) What is the direction of the fifth force F? (c) Locate the point of intersection of the fifth force F and the line ABC. 90 N 220 N B 180 N A 220 N 100 mm 100 mmarrow_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_forwardA force F acts at point A as shown in the figure. Determine the moment of the force F about point C and axis CE.arrow_forward
- 2. 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_forwardENGINEERING 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_forward
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