Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 3.3, Problem 24P
Three cables are joined at the junction ring C Determine the tensions in cables AC and BC caused by the weight of the 30-kg cylinder.
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Procedure:1- Cartesian system, 2D3D,type of support2- Free body diagram3 - Find the support reactions4- If you find a negativenumber then flip the force5- Find the internal force3D∑Fx=0∑Fy=0∑Fz=0∑Mx=0∑My=0\Sigma Mz=02D\Sigma Fx=0\Sigma Fy=0\Sigma Mz=05- Use method of sectionand cut the elementwhere you want to find
Procedure:1- Cartesian system, 2D3D,type of support2- Free body diagram3 - Find the support reactions4- If you find a negativenumber then flip the force5- Find the internal force3D∑Fx=0∑Fy=0∑Fz=0∑Mx=0∑My=0\Sigma Mz=02D\Sigma Fx=0\Sigma Fy=0\Sigma Mz=05- Use method of sectionand cut the elementwhere you want to findthe internal force andkeep either side of the
Procedure:
1- Cartesian system, 2D3D,
type of support
2- Free body diagram
3 - Find the support reactions
4- If you find a negative
number then flip the force
5- Find the internal force
3D
∑Fx=0
∑Fy=0
∑Fz=0
∑Mx=0
∑My=0
ΣMz=0
2D
ΣFx=0
ΣFy=0
ΣMz=0
5- Use method of section
and cut the element
where you want to find
the internal force and
keep either side of the
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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