Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Textbook Question
Chapter 3.3, Problem 51P
A torque (moment) of
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5. The pumping unit is used to recover oil. When the walking beam ABC is horizontal, the force
acting in the wireline at the well head is 250 lb. Determine the torque M which must be
exerted by the motor in order to overcome this load. The horse-head C weighs 60 lb and
has a center of gravity at Gc. The walking beam ABC has a weight of 130 lb and a center
of gravity at Gs, and the counterweight has a weight of 200 lb and a center of gravity at
Gw. The pitman, AD, is pin connected at its ends and has negligible weight.
-5 ft
-6 ft
!GB
B
70°
20°
250 Ib
3 ft 2.5 ft
The device shown is a part of an automobile seat-back-release mechanism. The part is subjected to the 3.9-N force exerted at A and
a 270-N-mm restoring moment exerted by a hidden torsional spring. Determine the y-intercept of the line of action of the single
equivalent force. Your answer will be positive if the intercept is above O and negative if below O.
Determine the n- and t-components of the force F which is exerted by the rod AB on the crank OA. Evaluate your general expression
for F = 118 N and (a) e = 30°, B = 25° and (b) e = 21°, B = 29°
Answers:
(a) Fn= i
N, F: =
i
N
(b) Fn =
i
N. F:=
N
Chapter 3 Solutions
Engineering Mechanics: Statics
Ch. 3.3 - In the side view of a 50-lb flat-screen television...Ch. 3.3 - The mass center G of the 1400-kg rear-engine car...Ch. 3.3 - A carpenter carries a 12-lb 2-in. by 4-in. board...Ch. 3.3 - The 450-kg uniform I-beam supports the load shown....Ch. 3.3 - Determine the force P required to maintain the...Ch. 3.3 - The 20-kg homogeneous smooth sphere rests on the...Ch. 3.3 - The 600-lb drum is being hoisted by the lifting...Ch. 3.3 - If the screw B of the wood clamp is tightened so...Ch. 3.3 - Determine the reactions at A and E if P=500 N....Ch. 3.3 - What horizontal force P must a worker exert on the...
Ch. 3.3 - The 20-kg uniform rectangular plate is supported...Ch. 3.3 - The 500-kg uniform beam is subjected to the three...Ch. 3.3 - A former student of mechanics wishes to weigh...Ch. 3.3 - The uniform rectangular body of mass m is placed...Ch. 3.3 - What weight WB will cause the system to be in...Ch. 3.3 - The pair of hooks is designed for the hanging of...Ch. 3.3 - The winch takes in cable at the constant rate of...Ch. 3.3 - To accommodate the rise and fall of the tide, a...Ch. 3.3 - When the 0.05-kg body is in the position shown,...Ch. 3.3 - When the 0.05-kg body is in the position shown,...Ch. 3.3 - When on level ground, the car is placed on four...Ch. 3.3 - Determine the magnitude P of the force required to...Ch. 3.3 - The 180-lb exerciser is beginning to execute some...Ch. 3.3 - Three cables are joined at the junction ring C...Ch. 3.3 - Determine the moment M which the motor must exert...Ch. 3.3 - A bicyclist applies a 40-N force to the brake...Ch. 3.3 - Find the angle of tilt with the horizontal so...Ch. 3.3 - The rack has a mass m=75kg. What moment M must be...Ch. 3.3 - The elements of a wheel-height adjuster for a lawn...Ch. 3.3 - The right-angle uniform slender bar AOB has mass...Ch. 3.3 - Determine the minimum cylinder mass m1 required to...Ch. 3.3 - Cable AB passes over the small ideal pulley C...Ch. 3.3 - A pipe P is being bent by the pipe bender as...Ch. 3.3 - The small slider A is moved along the circular...Ch. 3.3 - The asymmetric simple truss is loaded as shown....Ch. 3.3 - The tailgate OBC is attached to the rear of a...Ch. 3.3 - The indicated location of the center of gravity of...Ch. 3.3 - A uniform ring of mass m and radius r carries an...Ch. 3.3 - Determine the force T required to hold the uniform...Ch. 3.3 - A block placed under the head of the claw hammer...Ch. 3.3 - The uniform slender bar of length 2r and mass m...Ch. 3.3 - The chain binder is used to secure loads of logs,...Ch. 3.3 - In a procedure to evaluate the strength of the...Ch. 3.3 - A woman is holding a 3.6-kg sphere in her hand...Ch. 3.3 - A person is performing slow arm curls with a 10-kg...Ch. 3.3 - The exercise machine is designed with a...Ch. 3.3 - For a given value m1 for the cart mass, determine...Ch. 3.3 - The device shown is used to test automobile-engine...Ch. 3.3 - The portable floor crane in the automotive shop is...Ch. 3.3 - The torsional spring of constant kT=50Nm/rad is...Ch. 3.3 - A torque (moment) of 24Nm is required to turn the...Ch. 3.3 - During an engine test on the ground, a propeller...Ch. 3.3 - To test the deflection of the uniform 200-lb beam...Ch. 3.3 - The pin A, which connects the 200-kg steel beam...Ch. 3.3 - A portion of the shifter mechanism for a manual...Ch. 3.3 - The cargo door for an airplane of circular...Ch. 3.3 - It is desired that a person be able to begin...Ch. 3.3 - Certain elements of an in-refrigerator ice-cube...Ch. 3.3 - The lumbar portion of the human spine supports the...Ch. 3.3 - Determine and plot the moment M which much be...Ch. 3.4 - A uniform steel plate 18 in. square weighing 68 lb...Ch. 3.4 - The uniform I-beam has a mass of 60 kg per meter...Ch. 3.4 - Determine the tensions in cables AB, AC, and AD.Ch. 3.4 - An 80-lb sheet of plywood rests on two small...Ch. 3.4 - The vertical and horizontal poles at the...Ch. 3.4 - The body is constructed of uniform slender rod...Ch. 3.4 - In order to make an adjustment, engineering...Ch. 3.4 - The rectangular solid is loaded by a force which...Ch. 3.4 - When on level ground, the car is placed on four...Ch. 3.4 - The uniform rectangular plate of mass m is...Ch. 3.4 - A uniform right-circular cylinder of mass m is...Ch. 3.4 - The uniform square plate is suspended by three...Ch. 3.4 - A three-legged stool is subjected to the load L as...Ch. 3.4 - The uniform slender rod of mass m is suspended by...Ch. 3.4 - One of the vertical walls supporting end B of the...Ch. 3.4 - The light right-angle boom which supports the...Ch. 3.4 - The mass center of the 30-kg door is in the center...Ch. 3.4 - The two I-beams are welded together and are...Ch. 3.4 - The 50-kg uniform triangular plate is supported by...Ch. 3.4 - The large bracket is constructed of heavy plate...Ch. 3.4 - The 800-lb tree trunk is known to have insect...Ch. 3.4 - The smooth homogeneous sphere rests in the 120...Ch. 3.4 - Determine the magnitudes of the force R and couple...Ch. 3.4 - The 25-kg rectangular access door is held in the...Ch. 3.4 - As part of a check on its design, a lower A-arm...Ch. 3.4 - The shaft, lever, and handle are welded together...Ch. 3.4 - During a test, the left engine of the twin-engine...Ch. 3.4 - The bent rod ACDB is supported by a sleeve at A...Ch. 3.4 - Turnbuckle T1 is tightened to a tension of 750 N...Ch. 3.4 - The spring of modulus k=900N/m is stretched a...Ch. 3.4 - A homogeneous door of mass m, height h, and width...Ch. 3.4 - Consider the rudder assembly of a radio-controlled...Ch. 3.4 - The upper ends of the vertical coil springs in the...Ch. 3.4 - The uniform 30- by 40-in. trap door weighs 200 lb...Ch. 3.4 - A uniform bar of length b and mass m is suspended...Ch. 3.4 - A rectangular sign over a store has a mass of 100...Ch. 3.4 - The uniform rectangular panel ABCD has a mass of...Ch. 3.4 - Determine and plot the moment M required to rotate...Ch. 3.5 - The rack for storing automobile wheels consists of...Ch. 3.5 - The positioning device locks the sliding panel C...Ch. 3.5 - The light bracket ABC is freely hinged at A and is...Ch. 3.5 - The uniform bar with end rollers weighs 60 lb and...Ch. 3.5 - The mass of the uniform right-triangular tabletop...Ch. 3.5 - The device shown in the figure is useful for...Ch. 3.5 - Magnetic tape under a tension of 10 N at D passes...Ch. 3.5 - The tool shown is used for straightening twisted...Ch. 3.5 - A freeway sign measuring 12 ft by 6 ft is...Ch. 3.5 - A slender rod of mass m1 is welded to the...Ch. 3.5 - The curved arm BC and attached cables AB and AC...Ch. 3.5 - The device shown in section can support the load L...Ch. 3.5 - A large symmetrical drum for drying sand is...Ch. 3.5 - Determine the force P required to begin rolling...Ch. 3.5 - The small tripod like stepladder is useful for...Ch. 3.5 - Each of the three uniform 1200-mm bars has a mass...Ch. 3.5 - The uniform 15-kg plate is welded to the vertical...Ch. 3.5 - A vertical force P on the foot pedal of the bell...Ch. 3.5 - The drum and shaft are welded together and have a...Ch. 3.5 - Determine and plot the tension ratio Timg required...Ch. 3.5 - Two traffic signals are attached to the 36-ft...Ch. 3.5 - The two traffic signals of Prob. 3/119 are now...Ch. 3.5 - In executing the biceps-curl exercise, the man...Ch. 3.5 - All the conditions of Prob. 3/121 are repeated...Ch. 3.5 - The basic features of a small backhoe are shown in...Ch. 3.5 - The mass center of the 1.5-kg link OC is located...Ch. 3.5 - The system of Prob. 3/60 is repeated here, but now...Ch. 3.5 - The 125-kg homogeneous rectangular solid is held...
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- Determine the n- and t-components of the force F which is exerted by the rod AB on the crank OA. Evaluate your general expression for F = 90 N and (a) 0 = 29°, 3= 25° and (b) = 14°, 3 = 37° Answers: (a) Fn = (b) Fn = i i B BI A N, Ft= N, Ft= i N Narrow_forwardA moment of 50lbft about O is required to loosen the nut. Determine the smallest magnitude of the force F and the corresponding angle that will turn the nut.arrow_forwardThe shaft-and-pulley assembly ABCD is driven by the torque (couple) suppliedby the electric motor at A. The assembly is also subjected to the two belt tensionsshown at each of the two pulleys. Determine the force-couple system at D that isequivalent to the torque and the four belt tensions.arrow_forward
- help me answer this question pls :( this question is tough for mearrow_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. P Determine the y-intercept of the line of action of the Us bs gies- single equivalent force.F balIs F =4 N 10 mm 15° A 40 mm 300 N-mmarrow_forward2/33 A prybar is used to remove a nail as shown. De- termine the moment of the 240-N force about the point O of contact between the prybar and the small support block. P-30 N 16 m 240 N 16 m 15 350 mm PROBLEM 2/3s 2/36 A man exerts a force F on the handle of the stationary wheelbarrow at A. The weight of the wheelbarrow along with its load of dirt is 185 Ib with center of gravity at G. For the configuration shown, what force F must the man apply at A to make the net moment about the tire contact point B equal to zero? 65 30 mm PROBLEM 2/33 Representative Problems 2/34 An overhead view of a door is shown. If the com- 20 pressive force F acting in the coupler arm of the hy- draulic door closer is 17 lb with the orientation shown, determine the moment of this force about the hinge axin O. 20 PROBLEM 2/36 2/37 A 150-N pull T in applied to a cord, which is wound securely around the inner hub of the drum. Determine the moment of T about the drum center C. At what angle e should T be applied…arrow_forward
- 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 REDMI NOTE 9 PRO AI QUAD CAMERAarrow_forwardThe friction at sleeve A can provide a maximum resisting moment of 380 Nm about the x-axis. Determine the largest magnitude of force F that can be applied to the bracket so that the bracket will not rotate about the x-axis. Given that L1 is 275 mm, L2 is 171 mm and L3 is 126 mm. Z F 60° X L1 mm A B 45° 60° L3 mm L2 mm yarrow_forwardThe cable AB prevents bar OA from rotating clockwise about the pivot O. If the cable tension is 820 N, determine the n- and t- components of this force acting on point A of the bar. 2.0 m B Answers: Tn= i Tt= i Attempts: 0 of 4 used Submit Answer -1.5 m Save for Later 63⁰ Z Z N Narrow_forward
- The shaft-and-pulley assembly ABCD is driven by the 32-N-m torque (couple) supplied by the electric motor at A. The assembly is also subjected to the two belt tensions shown at each of the two pulleys. Determine the force-couple system at A that is equivalent to the torque and the four belt tensions. b Reduce the foce-couple eystem atA into a Wrench and find its tocattont. 12 lb 15 1.0 ft 26 lb -0.75 ft 32 lb ft 3 ft- 8 lb 1.5A 32 lbarrow_forwardDetermine the n- and t-components of the force F which is exerted by the rod AB on the crank OA. Evaluate your general expression for F-101 N and (a) = 29°, -21° and (b) 0 -25°, 3 - 36° B Answers: (a) F= N (b) Fn- N i i N, F₂ i N. F iarrow_forward(a) Replace the force F=2800i+1600j+3000klb acting at end A of the crank handle with a force R acting at O and a couple-vector CR. (b) Resolve R into the normal component P (normal to the cross section of the shaft) and the shear component V (in the plane of the cross section). (c) Resolve CR into the twisting component T and the bending component M.arrow_forward
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