Engineering Mechanics: Statics and Study Pack (13th Edition)
13th Edition
ISBN: 9780133027990
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 2.6, Problem 16FP
Express the force as a Cartesian
Prob. F2-16
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6/86 The connecting rod AB of a certain internal-combustion engine weighs 1.2 lb with mass center at G
and has a radius of gyration about G of 1.12 in. The piston and piston pin A together weigh 1.80 lb. The
engine is running at a constant speed of 3000 rev/min, so that the angular velocity of the crank is
3000(2)/60 = 100л rad/sec. Neglect the weights of the components and the force exerted by the gas in
the cylinder compared with the dynamic forces generated and calculate the magnitude of the force on the
piston pin A for the crank angle 0 = 90°. (Suggestion: Use the alternative moment relation, Eq. 6/3, with B
as the moment center.)
Answer
A = 347 lb
3"
1.3"
B
1.7"
PROBLEM 6/86
6/85 In a study of head injury against the instrument panel of a car during sudden or crash stops where
lap belts without shoulder straps or airbags are used, the segmented human model shown in the figure is
analyzed. The hip joint O is assumed to remain fixed relative to the car, and the torso above the hip is
treated as a rigid body of mass m freely pivoted at O. The center of mass of the torso is at G with the initial
position of OG taken as vertical. The radius of gyration of the torso about O is ko. If the car is brought to a
sudden stop with a constant deceleration a, determine the speed v relative to the car with which the
model's head strikes the instrument panel. Substitute the values m = 50 kg, 7 = 450 mm, r = 800 mm, ko
= 550 mm, 0 = 45°, and a = 10g and compute v.
Answer
v = 11.73 m/s
PROBLEM 6/85
Chapter 2 Solutions
Engineering Mechanics: Statics and Study Pack (13th Edition)
Ch. 2.3 - Determine the magnitude of the resultant force...Ch. 2.3 - Determine the magnitude of the resultant force....Ch. 2.3 - Determine the magnitude of the resultant force and...Ch. 2.3 - Resolve the 30-lb force into components along the...Ch. 2.3 - Resolve this force into components acting along...Ch. 2.3 - along the v axis. Prob. F2-6Ch. 2.3 - Determine the magnitude of the resultant force FR...Ch. 2.3 - If = 60 and F = 450 N, determine the magnitude of...Ch. 2.3 - If the magnitude of the resultant force is to be...Ch. 2.3 - Determine the magnitude of the resultant force FR...
Ch. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Determine the magnitudes of the two components of...Ch. 2.3 - Solve with F = 350 lb. Prob. 2-4/5Ch. 2.3 - Prob. 9PCh. 2.3 - Prob. 10PCh. 2.3 - Resolve this force into two components acting...Ch. 2.3 - Determine the magnitude of F and its component...Ch. 2.3 - Determine the magnitude of F and its direction ....Ch. 2.3 - Prob. 14PCh. 2.3 - If = 60, determine the magnitude of the resultant...Ch. 2.3 - Also, what is the magnitude of the resultant...Ch. 2.3 - What is the component of force acting along member...Ch. 2.3 - Take = 30. Probs. 2-19/20Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - If F1 = 400 N and F2 = 600 N, determine the angle...Ch. 2.3 - If their lines of action are at an angle apart...Ch. 2.3 - Prob. 23PCh. 2.3 - Prob. 24PCh. 2.3 - Prob. 25PCh. 2.3 - Prob. 26PCh. 2.3 - Prob. 27PCh. 2.3 - directed along the positive x axis, determine the...Ch. 2.3 - If FB = 3 kN and = 45, determine the magnitude of...Ch. 2.3 - If the resultant force of the two tugboats is...Ch. 2.3 - Prob. 31PCh. 2.4 - Resolve each force acting on the post into its x...Ch. 2.4 - Determine the magnitude and direction of the...Ch. 2.4 - Determine the magnitude of the resultant force...Ch. 2.4 - determine the magnitude of F and its direction ....Ch. 2.4 - If the magnitude of the resultant force acting on...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Prob. 32PCh. 2.4 - Prob. 33PCh. 2.4 - Resolve F1 and F2 into their x and y components.Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Resolve each force acting on the gusset plate into...Ch. 2.4 - Determine the magnitude of the resultant force...Ch. 2.4 - Prob. 38PCh. 2.4 - Prob. 39PCh. 2.4 - Prob. 40PCh. 2.4 - Prob. 41PCh. 2.4 - Determine the magnitude and orientation of FB so...Ch. 2.4 - measured counterclockwise from the positive y...Ch. 2.4 - Prob. 44PCh. 2.4 - Prob. 45PCh. 2.4 - Prob. 46PCh. 2.4 - Determine the magnitude and direction of the...Ch. 2.4 - Prob. 48PCh. 2.4 - Prob. 49PCh. 2.4 - Prob. 50PCh. 2.4 - Prob. 51PCh. 2.4 - Prob. 52PCh. 2.4 - What is the magnitude of the resultant force?...Ch. 2.4 - Prob. 54PCh. 2.4 - Prob. 55PCh. 2.4 - Prob. 56PCh. 2.4 - Prob. 57PCh. 2.4 - If the magnitude of the resultant force acting on...Ch. 2.4 - Set = 30. Probs. 2-56/57Ch. 2.6 - Determine the coordinate direction angles of the...Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Determine the resultant force acting on the hook....Ch. 2.6 - Prob. 60PCh. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Specify the coordinate direction angles of F1 and...Ch. 2.6 - If the magnitude of F is 80 N, and = 60 and =...Ch. 2.6 - Prob. 64PCh. 2.6 - Prob. 65PCh. 2.6 - Prob. 66PCh. 2.6 - Prob. 67PCh. 2.6 - Prob. 68PCh. 2.6 - Prob. 69PCh. 2.6 - Prob. 70PCh. 2.6 - Prob. 71PCh. 2.6 - Prob. 72PCh. 2.6 - Express each force as a Cartesian vector.Ch. 2.6 - Determine the resultant of the two forces and...Ch. 2.6 - Prob. 75PCh. 2.6 - Prob. 76PCh. 2.6 - Prob. 77PCh. 2.6 - Prob. 78PCh. 2.6 - Prob. 79PCh. 2.6 - If the coordinate direction angles for F1 are 3 =...Ch. 2.6 - If the coordinate direction angles for F1 are 3 =...Ch. 2.6 - If the direction of the resultant force acting on...Ch. 2.6 - Express each force in Cartesian vector form and...Ch. 2.6 - Prob. 84PCh. 2.6 - If = 75, determine the magnitudes of F and Fy....Ch. 2.8 - Express the position vector rAB in Cartesian...Ch. 2.8 - What is the angle ? Prob. F2-20Ch. 2.8 - Prob. 21FPCh. 2.8 - Express the force as a Cartesian vector. Prob....Ch. 2.8 - Determine the magnitude of the resultant force at...Ch. 2.8 - Determine the resultant force at A. Prob. F2-24Ch. 2.8 - Prob. 86PCh. 2.8 - Prob. 87PCh. 2.8 - Prob. 88PCh. 2.8 - If F = {350i 250j 450k} N and cable AB is 9 m...Ch. 2.8 - Prob. 90PCh. 2.8 - Prob. 91PCh. 2.8 - If FB = 560 N and FC = 700 N, determine the...Ch. 2.8 - If FB = 700 N, and FC = 560 N, determine the...Ch. 2.8 - Prob. 94PCh. 2.8 - Prob. 95PCh. 2.8 - Prob. 96PCh. 2.8 - Prob. 97PCh. 2.8 - Express this force as a Cartesian vector acting on...Ch. 2.8 - Prob. 99PCh. 2.8 - Prob. 100PCh. 2.8 - Represent each force as a Cartesian vector and...Ch. 2.8 - Prob. 102PCh. 2.8 - If the force in each cable tied to the bin is 70...Ch. 2.8 - Due to symmetry, the tension in the four cables is...Ch. 2.8 - Prob. 105PCh. 2.8 - If the force in each chain has a magnitude of 60...Ch. 2.8 - If the resultant force at O has a magnitude of 130...Ch. 2.8 - Prob. 108PCh. 2.8 - Prob. 109PCh. 2.8 - Prob. 110PCh. 2.8 - Determine the length of the chain, and express the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the projected component of the force...Ch. 2.9 - Find the magnitude of the projected component of...Ch. 2.9 - Determine the components of the force acting...Ch. 2.9 - Determine the magnitudes of the components of the...Ch. 2.9 - Prob. 112PCh. 2.9 - Determine the angle between the edges of the...Ch. 2.9 - Prob. 114PCh. 2.9 - Prob. 115PCh. 2.9 - Prob. 116PCh. 2.9 - Prob. 117PCh. 2.9 - Determine the projection of the force F along the...Ch. 2.9 - Determine the angle between the y axis of the...Ch. 2.9 - Determine the magnitudes of the components of F =...Ch. 2.9 - Determine the magnitude of the projection of force...Ch. 2.9 - Prob. 122PCh. 2.9 - Prob. 123PCh. 2.9 - Prob. 124PCh. 2.9 - Prob. 125PCh. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the angle between the two cables...Ch. 2.9 - Prob. 128PCh. 2.9 - Express this component as a Cartesian vector....Ch. 2.9 - Prob. 130PCh. 2.9 - Determine the angles and made between the axes...Ch. 2.9 - Prob. 132PCh. 2.9 - Prob. 133PCh. 2.9 - Determine the magnitudes of the components of the...Ch. 2.9 - Prob. 135PCh. 2.9 - Express the force F in Cartesian vector form if it...Ch. 2.9 - Express force F in Cartesian vector form if point...Ch. 2.9 - Determine the magnitudes of the projected...Ch. 2.9 - Prob. 139PCh. 2.9 - Prob. 140RPCh. 2.9 - Determine the x and y components of F1 and F2....Ch. 2.9 - Determine the magnitude of the resultant force and...Ch. 2.9 - Determine the magnitude of the resultant force...Ch. 2.9 - Express F1 and F2 as Cartesian vectors.Ch. 2.9 - Determine the magnitude of the resultant force and...Ch. 2.9 - The cable attach to the tractor at B exerts a...Ch. 2.9 - Prob. 147RPCh. 2.9 - Prob. 148RPCh. 2.9 - Prob. 149RP
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