Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 4.4, Problem 7FP
Determine the resultant moment produced by the forces about point O.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2 A metal block of mass m = 10 kg is sliding along a frictionless surface with an initial speed
Vo, as indicated below. The block then slides above an electromagnetic brake that applies a
force FEB to the block, opposing its motion. The magnitude of the electromagnetic force
varies quadratically with the distance moved along the brake (x):
10
FEB = kx²,
with k
= 5
N
m²
V₁ = 8 m/s
m = 10 kg
FEB
Frictionless surface
Electromagnetic brake
⇒x
Determine how far the block slides along the electromagnetic brake before stopping, in m.
Q1: Determine the length, angle of contact, and width of a 9.75 mm thick
leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The
diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at
300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The
density of the leather is 1000 kg/m³. The maximum allowable stress in the
leather is 2.5 MPa. The coefficient of friction between the leather and pulley is
0.3. Assume open belt drive.
5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having
20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made
of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel
having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day
under light shock conditions, find from the standpoint of strength,
1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear.
Check the gears thus designed from the consideration of wear. The surface endurance limit may be
taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]
Chapter 4 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 4.4 - In each case, determine the moment of the force...Ch. 4.4 - In each case, set up the determinant to find the...Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O....Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the resultant moment produced by the...Ch. 4.4 - Determine the resultant moment produced by the...
Ch. 4.4 - Determine the resultant moment produced by the...Ch. 4.4 - Determine the moment of force F about point O....Ch. 4.4 - Prob. 11FPCh. 4.4 - Prob. 12FPCh. 4.4 - Prob. 1PCh. 4.4 - Prove the triple scalar product identity A (B C)...Ch. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Determine the moment about point B of each of the...Ch. 4.4 - The crowbar is subjected to a vertical force of P...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each force about the bolt...Ch. 4.4 - If FB = 30 lb and FC = 45 lb, determine the...Ch. 4.4 - Prob. 11PCh. 4.4 - The towline exerts a force of P = 6 kN at the end...Ch. 4.4 - Prob. 13PCh. 4.4 - The 20-N horizontal force acts on the handle of...Ch. 4.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - The tongs are used to grip the ends of the...Ch. 4.4 - Prob. 19PCh. 4.4 - The handle of the hammer is subjected to the force...Ch. 4.4 - In order to pull out the nail at B, the force F...Ch. 4.4 - Old clocks were constructed using a fusee B to...Ch. 4.4 - The tower crane is used to hoist the 2-Mg load...Ch. 4.4 - The tower crane is used to hoist a 2-Mg load...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - Determine the moment of the force F about point O....Ch. 4.4 - Determine the moment of the force F about point P....Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the end...Ch. 4.4 - Determine the moment of the force F about point P....Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - Determine the moment of the force of F = 600 N...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the coordinate direction angles , , of...Ch. 4.4 - Determine the moment of force F about point O. The...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Prob. 41PCh. 4.4 - A 20-N horizontal force is applied perpendicular...Ch. 4.4 - Prob. 43PCh. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - Prob. 45PCh. 4.4 - Prob. 46PCh. 4.4 - Prob. 47PCh. 4.4 - Prob. 48PCh. 4.4 - Prob. 49PCh. 4.4 - Prob. 50PCh. 4.4 - Using a ring collar, the 75-N force can act in the...Ch. 4.5 - In each case, determine the resultant moment of...Ch. 4.5 - Prob. 4PPCh. 4.5 - Prob. 13FPCh. 4.5 - Prob. 14FPCh. 4.5 - Determine the magnitude of the moment of the 200-N...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Prob. 17FPCh. 4.5 - Determine the moment of force F about the x, the...Ch. 4.5 - The lug nut on the wheel of the automobile is to...Ch. 4.5 - Solve Prob. 4-52 if the cheater pipe AB is slipped...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - Prob. 55PCh. 4.5 - Determine the magnitude of the moments of the...Ch. 4.5 - Determine the moment of this force F about an axis...Ch. 4.5 - Prob. 58PCh. 4.5 - Prob. 59PCh. 4.5 - Prob. 60PCh. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - A horizontal force of F = {50i} N is applied...Ch. 4.5 - Prob. 65PCh. 4.5 - Prob. 66PCh. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Prob. 21FPCh. 4.6 - Determine the couple moment acting on the beam.Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the couple moment acting on the pipe...Ch. 4.6 - Prob. 67PCh. 4.6 - Prob. 68PCh. 4.6 - If the resultant couple of the three couples...Ch. 4.6 - Two couples act on the beam. If F = 125 lb,...Ch. 4.6 - Two couples act on the beam. Determine the...Ch. 4.6 - Determine the magnitude of the couple forces F so...Ch. 4.6 - Prob. 73PCh. 4.6 - Prob. 74PCh. 4.6 - Prob. 75PCh. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Prob. 77PCh. 4.6 - Prob. 78PCh. 4.6 - Two couples act on the frame. If the resultant...Ch. 4.6 - Prob. 80PCh. 4.6 - Two couples act on the frame. If d = 4 ft,...Ch. 4.6 - Prob. 82PCh. 4.6 - If M1 = 180 lb ft, M2 = 90 lb ft, and M3 = 120...Ch. 4.6 - Prob. 84PCh. 4.6 - The gears are subjected to the couple moments...Ch. 4.6 - Determine the required magnitude of the couple...Ch. 4.6 - Determine the resultant couple moment of the two...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - In order to turn over the frame, a couple moment...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - If the couple moment acting on the pipe has a...Ch. 4.6 - If F = 80 N, determine the magnitude and...Ch. 4.6 - If the magnitude of the couple moment acting on...Ch. 4.6 - Express the moment of the couple acting on the rod...Ch. 4.6 - If F1 = 100 N, F2 = 120 N, and F3 = 80 N,...Ch. 4.6 - Prob. 96PCh. 4.7 - In each case, determine the x and y components of...Ch. 4.7 - F-25. Replace the leading system by an equivalent...Ch. 4.7 - F-26. Replace the loading system by an equivalent...Ch. 4.7 - Prob. 27FPCh. 4.7 - Prob. 28FPCh. 4.7 - Prob. 29FPCh. 4.7 - F-30. Replace the loading system by an equivalent...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Prob. 98PCh. 4.7 - Prob. 99PCh. 4.7 - Prob. 100PCh. 4.7 - Replace the loading system acting on the beam by...Ch. 4.7 - Prob. 102PCh. 4.7 - Prob. 103PCh. 4.7 - Prob. 104PCh. 4.7 - Replace the force system acting on the frame by an...Ch. 4.7 - Prob. 106PCh. 4.7 - Prob. 107PCh. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Prob. 109PCh. 4.7 - Prob. 110PCh. 4.7 - Prob. 111PCh. 4.7 - Prob. 112PCh. 4.8 - In each case, determine the x and y components of...Ch. 4.8 - Prob. 7PPCh. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Prob. 32FPCh. 4.8 - Prob. 33FPCh. 4.8 - Prob. 34FPCh. 4.8 - Prob. 35FPCh. 4.8 - Prob. 36FPCh. 4.8 - Prob. 113PCh. 4.8 - Prob. 114PCh. 4.8 - Prob. 115PCh. 4.8 - Prob. 116PCh. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Prob. 118PCh. 4.8 - Prob. 119PCh. 4.8 - Prob. 120PCh. 4.8 - Prob. 121PCh. 4.8 - Prob. 122PCh. 4.8 - Prob. 123PCh. 4.8 - Prob. 124PCh. 4.8 - Prob. 125PCh. 4.8 - Replace the force and couple system acting on the...Ch. 4.8 - If FA = 7 kN and FB = 5 kN, represent the force...Ch. 4.8 - Determine the magnitudes of FA and FB so that the...Ch. 4.8 - Prob. 129PCh. 4.8 - Prob. 130PCh. 4.8 - Prob. 131PCh. 4.8 - If FA= 40 kN and FB = 35 kN, determine the...Ch. 4.8 - If the resultant force is required to act at the...Ch. 4.8 - Prob. 134PCh. 4.8 - Replace the force system by a wrench and specify...Ch. 4.8 - Prob. 136PCh. 4.8 - Replace the three forces acting on the plate by a...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Prob. 38FPCh. 4.9 - Prob. 39FPCh. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Prob. 41FPCh. 4.9 - Prob. 42FPCh. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 140PCh. 4.9 - Prob. 141PCh. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Replace this loading by an equivalent resultant...Ch. 4.9 - The distribution of soil loading on the bottom of...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Prob. 147PCh. 4.9 - Prob. 148PCh. 4.9 - If the soil exerts a trapezoidal distribution of...Ch. 4.9 - Prob. 150PCh. 4.9 - Prob. 151PCh. 4.9 - Prob. 152PCh. 4.9 - Replace the leading by a single resultant force,...Ch. 4.9 - Prob. 154PCh. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Prob. 156PCh. 4.9 - Prob. 157PCh. 4.9 - Prob. 158PCh. 4.9 - The distributed load acts on the shaft as shown....Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 161PCh. 4.9 - Prob. 162PCh. 4.9 - Prob. 1RPCh. 4.9 - Replace the force F having a magnitude of F = 50...Ch. 4.9 - Prob. 3RPCh. 4.9 - Prob. 4RPCh. 4.9 - Prob. 5RPCh. 4.9 - Prob. 6RPCh. 4.9 - Prob. 7RPCh. 4.9 - Prob. 8RP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 4. G A micarta pinion rotating at 1200 r.p.m. is to transmit 1 kW to a cast iron gear at a speed of 192 r.p.m. Assuming a starting overload of 20% and using 20° full depth involute teeth, determine the module, number of teeth on the pinion and gear and face width. Take allowable static strength for micarta as 40 MPa and for cast iron as 53 MPa. Check the pair in wear.arrow_forwardI want to solve these choicesarrow_forward2. A spur gear made of bronze drives a mid steel pinion with angular velocity ratio of 32: 1. The pressure angle is 14½. It transmits 5 kW at 1800 r.p.m. of pinion. Considering only strength, design the smallest diameter gears and find also necessary face width. The number of teeth should not be less than 15 teeth on either gear. The elastic strength of bronze may be taken as 84 MPa and of steel as 105 MPa. Lewis factor for 14½½ pressure angle may be taken 0.684 0.124 y = No. of teeth as [Ans. m 3 mm; b= 35 mm; Dp = 48 mm; D= 168 mm]arrow_forward
- Q2. Determine the safety factors for the bracket rod shown in Figure 2 based on both the distortion-energy theory and the maximum shear theory and compare them. Given: The material is 2024-T4 aluminum with a yield strength of 47 000 psi. The rod length /= 6 in. and arm a = 8 in. The rod outside diameter od 1.5 in., id = 1 in, h=2 in., t=0.5 in., Load F= 1000 lb. Assumptions: The load is static and the assembly is at room temperature. Consider shear due to transverse loading as well as other stresses. (Note: solve in SI units) wall tube Figure 2 armarrow_forwardThe question has been set up with all the cuts needed to accurately derive expressions for V(x) and M(x). Using the cuts free body diagrams set up below, derive expressions for V(x) and M(x). If you use the method of cuts then validate your answers using calculus or vice versa.arrow_forwardIt is required to treat 130 kmol/hr of chloroform-air feed gas mixture that contains 12% chloroform. It is required to remove 93% of chloroform using 150 kmol/hr of solvent that contains 99.6% water and 0.4% chloroform. The cross sectional area of the column is 0.8 m². Calculate the column height using the following data; kx'.a = 1.35 (kmol/m³.s (Ax)), and ky'.a = 0.06 (kmol/m³.s (Ay)), kx/ky = 1.35, and the equilibrium data are: X 0 0.0133 0.033 y 0 0.01 0.0266 0.049 0.064 0.0747 0.0933 0.1053 0.0433 0.06 0.0733 0.111 0.1 0.12 0.14arrow_forward
- ४ B: Find the numerical solution for the 2D equation below and calculate the temperature values for each grid point shown in Fig. 2 (show all steps). (Do only one trail using following initial values and show the final matrix) [T1] T₂ T3 [T] 1 = [0] 0 0 d dx dx) (ka)+4(ka) = dy -20xy, k = 1 + 0.3 T ge L=3cm, 4x= Ay B.Cs.: at x=0=LT=0°C at y=0-L T=10°C Fig. (2)arrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardFor the beam show below, draw A.F.D, S.F.D, B.M.D 6 kN/m 1 M B. 3 M Marrow_forward
- 1. Two long rods of the same diameter-one made of brass (k=85w/m.k) and the other made of copper (k=375 w/m.k) have one of their ends inserted into a furnace (as shown in the following figure). Both rods are exposed to the same environment. At a distance of 105 mm from the furnace, the temperature of the brass rod is 120°C. At what distance from the furnace will the same temperature be reached in the copper rod? Furnace 105 mm T₁ Brass rod ⑪ h Too- x2- Ti Copper rodarrow_forward: +0 العنوان use only Two rods fins) having same dimensions, one made orass (k = 85 Wm K) and the mer of copper (k = 375 W/m K), having of their ends inserted into a furna. At a section 10.5 cm a way from furnace, the temperature of brass rod 120 Find the distance at which the ame temperature would be reached in the per rod ? both ends are ex osed to the same environment. ns 2.05 ۲/۱ ostrararrow_forwardمشر on ۲/۱ Two rods (fins) having same dimensions, one made of brass(k=85 m K) and the other of copper (k = 375 W/m K), having one of their ends inserted into a furnace. At a section 10.5 cm a way from the furnace, the temperature brass rod 120°C. Find the distance at which the same temperature would be reached in the copper rod ? both ends are exposed to the same environment. 22.05 ofthearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
How to balance a see saw using moments example problem; Author: Engineer4Free;https://www.youtube.com/watch?v=d7tX37j-iHU;License: Standard Youtube License