Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3.5, Problem 123P
The basic features of a small backhoe are shown in the illustration. Member BE (complete with hydraulic cylinder CD and bucket-control links DF and DE) weighs 500 lb with mass center at
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Current Attemptin Progress
A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 800 kg and an
average gear-tooth force of 2.75 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B,
calculate the average offset of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting
rollers.
Assume r = 110 mm, R = 685 mm, 0 = 22°
Detail of contact
at B
A
Answer: x =
i
B
R
G
mm
mass
The power unit A of the tractor-scraper has a mass of 5.9 Mg with mass center at G₁. The fully loaded trailer-scraper unit B has a
of 22.7 Mg with mass center at G₂. Positioning of the scraper is controlled by two hydraulic cylinders EF, one on each side of the
machine. Calculate the compression F in each of the cylinders and the magnitude of the force supported by each of the pins at H, one
on each side. Assume that the wheels are free to turn so that there are no horizontal components of force under the wheels.
Answers:
F=
i
H= i
870
1480 1480 11701480540
Dimensions in millimeters
1
KN
KN
A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 710 kg and an average gear-tooth force of 2.75 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset x¯ of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting rollers.Assume r = 140 mm, R = 515 mm, θ= 25°.
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...
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
- A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 780 kg and an average gear-tooth force of 2.20 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset T of the center of mass Gof the sand from the vertical centerline. Neglect all friction in the supporting rollers. Assume r = 140 mm, R = 680 mm, 0 = 18°. Detail of contact at B B •G Answer:T= mmarrow_forwardThe pendulum consists of a 35-lb sphere R-0.6 ft, and a 14-lb slender rod a-13 ft. Just after the cord AB is cut, Compute the tangential component of reaction of the pin O on the disk Re in pounds. (Hint: use parallel theorem for the inertial moment)arrow_forwardThe swinging frame of a balancing machine is shown in figure 1. The lever ACB has a mass of 6 kg and a radius of gyration of 75 mm about its centre of gravity which is at pivot C. The lever FD is of uniform section and has a mass of 1 kg. It carries a mass of 0,75 kg at E. The mass of the connecting link at BD may be ignored. The stiffness of the compression springs at A and B is 5,6 kg/m. Determine the frequency of vibration of the system. F 50 350 300 E 100 B D Fig. 1 mf SXA Free body diagram SXB Barrow_forward
- A forklift and its driver have a total weight of 50000 and the center of mass in at G. What is the reaction force on each of the wheels when the 8000 weight load is pulled up with an acceleration of 1.5 m/s^2? (a= 1.2 meter, b= 0.9 meter, c= 1.7 meter, h= 3.5 meter)arrow_forwardThe figure shows the side view of a portable traffic signal. The upper portion of the signal with attached frame has a mass of 90 kg with mass center at G. The signal and frame are hinged at point E and rest on a vertical post at H. In operation, member DEH is positioned vertically by means of the hand-operated winch so that the lights are directed to the left. Determine the necessary input force F that will just start to rotate the signal from its horizontal position. Note that handle A is rigidly attached to gear B. The dimension (AB) ̅=200 mm.arrow_forwardThe shaft, lever, and handle are welded together and constitute a single rigid body. Their combined mass is 40 kg with mass center at G. The assembly is mounted in bearings A and B, and rotation is prevented by link CD. Determine the magnitudes of the forces exerted on the shaft by bearings A and B while the couple is applied to the handle as shown. Would these forces change if the couple were applied to the shaft AB rather than to the handle? 100 mm 400 mm 280 mm 280 mm 620 mm 225 mm 33N-m 180 mm 180 mm Answers: A = i B = Narrow_forward
- Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The double pulley shown has a mass of 15 kg and a centroidal radius of gyration of 160 mm. Cylinder A and block B are attached to cords that are wrapped on the pulleys as shown in the figure. The coefficient of kinetic friction between block Band the surface is 0.2. Consider that the system is at rest in the position shown when a constant force P= 230 N is applied to cylinder A. 150 mm 250 mm B A 30° 15 kg 5 kg 1m Determine the velocity of cylinder A as it strikes the ground. (You must provide an answer before moving on to the next part.) m/s The velocity of cylinder A as it strikes the ground isarrow_forwardThe figure is a model for member CDE of the frame described in Prob. 4.10. Draw the FBD of the member, neglecting its weight. Count the unknowns.arrow_forwardCan the uniform bar of weight W remain at rest in the position shown?arrow_forward
- The 2000-lb weight of the trailer is distributed equally between its two wheels, one on each side of the trailer. The center of gravity is at G, and the wheels are free to rotate. Determine whether the trailer can be pushed over a 6-in. curb without tipping, and, if so, compute the required horizontal force P.arrow_forwardA shaft has three eccentrics of mass 1kg each. The central plane of the eccentrics is 50 mm apart. The distances of the centers from the axis of rotation are 20 mm, 30 mm, and 20 mm and their angular positions are 120 degree apart. Find the amount of out-of-balance force and couple at 600 rpm. If the shaft is balances by adding two masses at a radius of 70 mm and at a distance of 100 mm from the central plane of the middle eccentrics, find the amount of masses and their angular positions. (Use graphical method for solution)arrow_forwardName Problem #4 The wheel, with its attached hub weighs 80.5 lb and has a radius of gyration about its mass center of kg = 9 inches. A force P = 25 lb is applied to the cord wrapped around the hub as shown. The applied force causes the wheel to roll without slipping up the incline. Draw a free body diagram of the wheel, showing all forces acting on it. Determine the angular acceleration of the wheel. Determine the normal force at the point of contact with the ground. Determine the friction force at the point of contact with the ground. 6" 12" 20°arrow_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
Physics 33 - Fluid Statics (1 of 10) Pressure in a Fluid; Author: Michel van Biezen;https://www.youtube.com/watch?v=mzjlAla3H1Q;License: Standard YouTube License, CC-BY