ENGINEERING MECHANICS: STATICS
14th Edition
ISBN: 9780135681879
Author: HIBBELER
Publisher: PEARSON
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Chapter 2.6, Problem 64P
Specify the coordinate direction angles of F1 and F2 and express each force as a Cartesian
Probs. 2-63/64
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For the position shown in the figure the spring is unstretched. The spring constant k, is designed such that after the system is released from rest, the speed of the mass is zero just as the 0.6 slug mass touches the floor. Find the spring constant, k and the maximum speed of block A and the location (distance above floor) where this occurs.
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6. If the 50-kg load A is hoisted by motor M so that the load has a constant velocity of 1.5
m/s, determine the power input to the motor, which operates at an efficiency € = 0.8.
1.5 m/s
2
7. The sports car has a mass of 2.3 Mg, and while it is traveling at 28 m/s the driver causes
it to accelerate at 5m/s². If the drag resistance on the car due to the wind is FD= 0.3v²N,
where v is the velocity in m/s, determine the power supplied to the engine at this instant.
The engine has a running efficiency of P = 0.68.
8. If the jet on the dragster supplies a constant thrust of T-20 kN, determine the power
generated by the jet as a function of time. Neglect drag and rolling resistance, and the loss
of fuel. The dragster has a mass of 1…
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Question 1
The engine of a 3500-N car is generating a constant power of 50 hp (horsepower)
while the car is traveling up the slope with a constant speed. If the engine is
operating with an efficiency of € 0.8, determine the speed of the car. Neglect
drag and rolling resistance. Use g 9.81 m/s² and 1 hp = 745.7 W.
10
го
Question 2
A man pushes on a 60-N crate with a force F. The force is always directed downward at an angle of 30°
from the horizontal, as shown in the figure. The magnitude of the force is gradually increased until the crate
begins to slide. Determine the crate's initial acceleration once it starts to move. Assume the coefficient of
static friction is μ = 0.6, the coefficient of kinetic…
Chapter 2 Solutions
ENGINEERING MECHANICS: STATICS
Ch. 2.3 - Then establish the triangle rule, where FR = F1 +...Ch. 2.3 - Then establish the triangle rule to show FR = FU +...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 - 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 - Determine the magnitudes of the two components of...Ch. 2.3 - Solve with F = 350 lb. Prob. 2-4/5Ch. 2.3 - Determine the magnitude of the resultant force FR...Ch. 2.3 - Resolve the force F1 into components acting along...Ch. 2.3 - Resolve the force F2 into components acting along...Ch. 2.3 - If the resultant force acting on the support is to...Ch. 2.3 - Determine the magnitude of the resultant force and...Ch. 2.3 - If = 60, determine the magnitude of the resultant...Ch. 2.3 - Also, what is the magnitude of the resultant...Ch. 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 - Determine the required angle (0 45) and the...Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - What is the component of force acting along member...Ch. 2.3 - Take = 30. Probs. 2-19/20Ch. 2.3 - FR measured counterclockwise from the positive x...Ch. 2.3 - Solve I by first finding the resultant F = F2 + F3...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 - If F1 = 30 lb and F2 = 40 lb, determine the angles...Ch. 2.3 - Determine the magnitude and direction of FA SO...Ch. 2.3 - Determine the magnitude and direction, measured...Ch. 2.3 - What is the minimum magnitude of FR?Ch. 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. 2.4 - 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 - Determine the magnitude of the resultant force and...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 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 - Express each of the three forces acting on the...Ch. 2.4 - Determine the x and y components of F1 and F2....Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Determine the magnitude and direction of the...Ch. 2.4 - Determine the magnitude and orientation of FB so...Ch. 2.4 - measured counterclockwise from the positive y...Ch. 2.4 - Prob. 48PCh. 2.4 - Prob. 49PCh. 2.4 - Express F1, F2, and F3 as Cartesian vectors.Ch. 2.4 - Determine the magnitude of the resultant fore and...Ch. 2.4 - Show that the resultant force is zero. Prob. 2-52Ch. 2.4 - Express F1 and F2 as Cartesian vectors.Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - What is the magnitude of the resultant force?...Ch. 2.4 - If the magnitude of the resultant force acting on...Ch. 2.4 - Set = 30. Probs. 2-56/57Ch. 2.4 - Determine the magnitude and direction of F so...Ch. 2.4 - Prob. 59PCh. 2.6 - Show , , . a) F = {50i + 60j 10k} kN b) F = {40i ...Ch. 2.6 - In each case, establish F as a Cartesian vector,...Ch. 2.6 - Set up the calculation used to find the magnitude...Ch. 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 - Determine the magnitudes of the x, y, z components...Ch. 2.6 - If the magnitude of F is 80 N, and = 60 and =...Ch. 2.6 - The component of F in the x-y plane is 7 kN. Prob....Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Specify the coordinate direction angles of F1 and...Ch. 2.6 - Express each force in Cartesian vector form and...Ch. 2.6 - Determine the coordinate direction angles of F1....Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Note that F1 lies in the x-y plane.Ch. 2.6 - If the resultant force FR has a magnitude of 150...Ch. 2.6 - Express each force in Cartesian vector form.Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Express each force as a Cartesian vector.Ch. 2.6 - Determine the resultant of the two forces and...Ch. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Prob. 78PCh. 2.6 - Determine the coordinate direction angles of the...Ch. 2.6 - Express each force in Cartesian vector form and...Ch. 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 - Prob. 84PCh. 2.6 - If = 75, determine the magnitudes of F and Fy....Ch. 2.8 - In each case, establish a position vector from...Ch. 2.8 - In each case, express F as a Cartesian vector....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 - Determine the length of the connecting rod AB by...Ch. 2.8 - Express force F as a Cartesian vector; then...Ch. 2.8 - Express each of the forces in Cartesian vector...Ch. 2.8 - If F = {350i 250j 450k} N and cable AB is 9 m...Ch. 2.8 - Prob. 90PCh. 2.8 - If z = 5 m, determine the location +x, +y of point...Ch. 2.8 - Express each of the forces in Cartesian vector...Ch. 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 - Express each force as a Cartesian vector. Prob....Ch. 2.8 - Represent each force as a Cartesian vector. Probs....Ch. 2.8 - Determine the magnitude and coordinate direction...Ch. 2.8 - Express the force as a Cartesian vector. Prob....Ch. 2.8 - Express this force as a Cartesian vector acting on...Ch. 2.8 - Determine the magnitude and coordinate direction...Ch. 2.8 - Represent each force as a Cartesian vector and...Ch. 2.8 - The anticipated loading in two of the struts is...Ch. 2.8 - Determine the magnitude and coordinate direction...Ch. 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. 2.9 - Do not calculate the result. Prob. P2-8Ch. 2.9 - P2.9. In each case, set up the dot product to find...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 - 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 - If the force in each chain has a magnitude of 60...Ch. 2.9 - If the resultant force at O has a magnitude of 130...Ch. 2.9 - Determine the length of the chain, and express the...Ch. 2.9 - Determine the length of the cable and express the...Ch. 2.9 - Prob. 112PCh. 2.9 - Determine the magnitudes of the components of F =...Ch. 2.9 - Determine the angle between the two cables. Prob....Ch. 2.9 - Determine the magnitude of the projection of the...Ch. 2.9 - Determine the angle between the y axis of the...Ch. 2.9 - Determine the magnitudes of the projected...Ch. 2.9 - Determine the angle between cables AB and AC....Ch. 2.9 - Prob. 119PCh. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the angle between the two cables...Ch. 2.9 - Determine the angle between the cables AB and AC....Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the magnitude of the projection of force...Ch. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the angle between pipe segments BA and...Ch. 2.9 - Prob. 128PCh. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the angles and made between the axes...Ch. 2.9 - Prob. 131PCh. 2.9 - Express this component as a Cartesian vector....Ch. 2.9 - Prob. 133PCh. 2.9 - Prob. 134PCh. 2.9 - Determine the magnitudes of the components of the...Ch. 2.9 - Determine the magnitudes of the projected...Ch. 2.9 - Prob. 137PCh. 2.9 - Determine the angle between the two cables....Ch. 2.9 - Express the result as a Cartesian vector.Ch. 2.9 - Determine the magnitude of the resultant force FR...Ch. 2.9 - Resolve F into components along the u and v axes...Ch. 2.9 - Determine the magnitude of the resultant force...Ch. 2.9 - Prob. 4RPCh. 2.9 - The cable attach to the tractor at B exerts a...Ch. 2.9 - Prob. 6RPCh. 2.9 - Determine the angle between the edges of the...Ch. 2.9 - Determine the projection of the force F along the...
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