ENGINEERING MECHANICS Â?? STATICS
15th Edition
ISBN: 9780137519132
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 2.4, Problem 33P
Determine the magnitude of the resultant force and its direction, measured clockwise from the positive x axis
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Students have asked these similar questions
Problem 4.
A homogeneous disk with radius and mass m is mounted on an axle OG with length L and a
negligible mass. The axle is pivoted at the fixed-point O, and the disk is constrained to roll on a
horizontal surface. The disk rotates counterclockwise at the constant rate o₁ about the axle. (mg
must be included into your calculation)
(a). Calculate the linear velocity of G and indicate it on the figure.
(b). Calculate ₂ (constant), which is the angular velocity of the
axle OG around the vertical axis.
(c). Calculate the linear acceleration ā of G and indicate it on the
figure.
(d). Determine the force (assumed vertical) exerted by the floor on
the disk
(e). Determine the reaction at the pivot O.
1
Answers: N = mg +mr(r/L)² @² |j
mr w
IIG
C
R
L
i+
2L
=
Problem 2.
The homogeneous disk of weight W = 6 lb rotates at the constant rate co₁ = 16 rad/s with respect
to arm ABC, which is welded to a shaft DCE rotating at the constant rate 2 = 8 rad/s. Assume
the rod weight is negligible compared to the disk. Determine the dynamic reactions at D and E
(ignore mg).
Answers:
D=-7.12ĵ+4.47k lb
r-8 in.
9 in.
B
D
E=-1.822+4.47 lb
9 in.
E
12 in.
12 in.
x
Problem 3.
Each of the right angle rods has a mass of 120 g and is welded to the shaft, which rotates at a steady
speed of 3600 rpm. Ignore the weight of the shaft AB. Find the bearing dynamic reaction at A
due to the dynamic imbalance of the shaft. (ignore mgs)
100
N
A
100
100
100
100
100
(Dimensions in millimeters)
Answer: A=-8521-426j N
B
Chapter 2 Solutions
ENGINEERING MECHANICS Â?? 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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