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 3.5, Problem 108P
A slender rod of mass
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1. Determine the second mass moments I,,
3d-
3d -
I, and J,for the plate shown. The plate
has uniform thickness, t, normal to the
plane of the figure, and uniform mass den-
sity, p. The parameters d, e, t and are given.
6d
4d
Radius = 2d
The assembly shown consists of a flywheel, a counterweight, and a bolt that attaches the counterweight to the flywheel. The flywheel
is uniform with mass per area of 3 g/mm² and has a 40 mm diameter hole as shown. Determine the mass mc of the counterweight so
that the center of mass of the assembly is at point O. The counterweight is attached to the flywheel by a bolt with mass mp= 800 g
that is screwed into a 10 mm diameter hole that passes completely through the flywheel. (Round the final answer to four decimal
places.)
flywheel
40 mm
o
counterweight
and bolt
mc, mB
45 mm
100 mm 50 mm
The mass mc of the counterweight is
g.
The figure shows composite shape comprising of two long slender rod bodies. The horizontal body has a length of 1.2m and mass 3kg; the second body has a length 0.4m and mass 1kg. The centre of gravity of each of the individual bodies can be
found at their geometric centre, labelled G₁ and G2₂ in the figure.
The composite shape has symmetry about the x axis, thus its centre of gravity lies on the line 'y=0' as depicted in the figure. Calculate the x coordinate of the centre of gravity of the composite shape.
O
O
0.95 m
0.75 m
0.50 m
Don't Know
0.60 m
G₁
G₂
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. 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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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