1 Introduction To Statics 2 Basic Operations With Force Systems 3 Resultants Of Force Systems 4 Coplanar Equilibrium Analysis 5 Three-dimensional Equilibrium 6 Beams And Cables 7 Dry Friction 8 Centroids And Distributed Loads 9 Moments And Products Of Inertia Of Areas 10 Virtual Work And Potential Energy Chapter1: Introduction To Statics
Chapter Questions Section: Chapter Questions
Problem 1.1P: A person weighs 30 lb on the moon, where g=5.32ft/s2. Determine (a) the mass of the person; and (b)... Problem 1.2P: The radius and length of a steel cylinder are 40 mm and 110 mm, respectively. If the mass density of... Problem 1.3P: Convert the following: (a) 400lbft to knm; (b) 6m/s to mi/h; (c) 20lb/in.2 to Pa; and (d)... Problem 1.4P: A compact car travels 30 mi on one gallon of gas. Determine the gas mileage of the car in km/L. Note... Problem 1.5P: The kinetic energy of a car of mass m moving with velocity v is E=mv2/2. If m=1000kg and v=6m/s,... Problem 1.6P: In a certain application, the coordinate a and the position coordinate x of a particle are related... Problem 1.7P: When a force F acts on a linear spring, the elongation x of the spring is given by F = kx, where k... Problem 1.8P: In some applications dealing with very high speeds, the velocity is measured in mm/s. Convert 8mm/s... Problem 1.9P: A geometry textbook gives the equation of a parabola as y=x2, where x and y are measured in inches.... Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the... Problem 1.11P: The position coordinate x of a particle is determined by its velocity v and the elapsed time t as... Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance... Problem 1.13P: Determine the dimensions of constants A and B far which the following equation is dimensionally... Problem 1.14P: The typical power output of a compact car engine is 110 hp. What is the equivalent power in (a)... Problem 1.15P: Two 12-kg spheres are placed 400 mm apart. Express the gravitational attraction acting between the... Problem 1.16P: Two identical spheres of radius 8 in. and weighing 2 lb on the surface of the earth are placed in... Problem 1.17P: A man weighs 170 lb on the surface of the earth. Compute his weight in an airplane flying at an... Problem 1.18P: Use Eq. (1.4) to show that the weight of an object on the moon is approximately 1/6 its weight on... Problem 1.19P: Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of... Problem 1.20P: Find the elevation h (km) where the weight of an object is one-tenth its weight on the surface of... Problem 1.21P: Calculate the gravitational force between the earth and the moon in new-tons. The distance between... Problem 1.22P: The magnitudes of the two velocity vectors are v1=5m/s and v2=3m/s. Determine their resultant... Problem 1.23P: Determine the magnitudes of vectors v1 and v2 so that their resultant is a horizontal vector of... Problem 1.24P: The pole AB is held up by the rope attached to B. The magnitude of the force in the rope is T=240lb.... Problem 1.25P: Resolve the 20-kN force into components along the u- and v-axes. Problem 1.26P: The velocity vector of the boat has two components: v1 is the velocity of the water, and v2 is the... Problem 1.27P: Two members of a truss apply the forces shown to the gusset plate. If the resultant at these forces... Problem 1.28P: Two members of a truss apply the forces shown to the gusset plate. Knowing that P = 10000 lb,... Problem 1.29P: Determine the resultant of the position vectors A and B. Problem 1.30P: Resolve the position vector A of the car (measured from fixed point O) into components parallel to... Problem 1.31P: Resolve the 360-lb force into components along the cables AB and AC. Use =60 and =40. Problem 1.32P: The supporting cables AB and AC are oriented so that the components of the 3604b force along AB and... Problem 1.33P: The two forces shown act on the structural member AB. Determine the magnitude of P such that the... Problem 1.34P: The resultant of the two forces has a magnitude of 800 lb. Determine the direction of the resultant... Problem 1.35P: The forces acting on the bob of the pendulum are its weight W(w=2lb) and the tension T in the cord.... Problem 1.36P: A surveyor sights a target at C from points A and B. recording the angles shown. Determine the... Problem 1.37P: Knowing that the resultant of the two forces is vertical, determine the angle Problem 1.38P: To move the oil drum, the resultant of the three forces shown must have a magnitude of 500 N.... Problem 1.39P: The resultant of the 50-Ib and 30-lb forces is R. If R = 65 lb, determine the angles and . Problem 1.40P: Obtain the rectangular representation of the force P, given that its magnitude is 30 lb. Problem 1.41P: The length of the position vector r is 240 mm. Determine the rectangular components of (a) r; and... Problem 1.42P: Determine the rectangular components of the 560-lb force. Show the components on a sketch. Problem 1.43P: The coordinates of points A and B are (-3, 0, 2) ft and (4, 1, 7) ft, respectively. Determine (a)... Problem 1.44P: The slider travels along the guide rod AB with the velocity v = 8 m/g. Determine the rectangular... Problem 1.45P: Find the rectangular representation of the force F, given that its magnitude is 320 N. Problem 1.46P: The magnitude of the force F is 160 lb. Find its rectangular representation. Problem 1.47P: A rifle at A is fired at a target at B. If the speed of the bullet is 1400 ft/s, determine the... Problem 1.48P: The pole OB is subjected to the 6004b force at B. Determine (a) the rectangular components of the... Problem 1.49P: The cables AB and AC are attached to the frame OBCD and pre-tensioned to 35 kN. Determine the... Problem 1.50P: The two forces are applied to the end of the boom OA. Determine the force F so that the resultant of... Problem 1.51P: The magnitudes of the three forces are F1=1.6kN,F2=1.2kN and F3=1.0kN. Compute their resultant in... Problem 1.52P: Given that P=120lb and Q=130lb, find the rectangular representation of P+Q. Problem 1.53P: Knowing that P=90lb and that the resultant of P and Q lies in the positive x-direction, determine Q... Problem 1.54P: If R is the resultant of the forces P and Q, find P and Q. Problem 1.55P: The force R is the resultant of P and 0. Determine Q and the angle . Problem 1.56P: The vertical post is secured by three cables. The cables are pre-tensioned so that the resultant of... Problem 1.57P: Compute the dot product A - B for each of the following cases. Identify the units of each product.... Problem 1.58P: Compute the cross product C=AB for each of the cases given in Prob. 1.51 Identify the units of each... Problem 1.59P: Given r=4i6j+2km (position vector) F=20i+40j30kN (force vector) =0.8j+0.6k (dimensionless unit... Problem 1.60P: Compute AB and CB for the position vectors shown. Problem 1.61P: Use the dot product to find the angle between the position vectors A and B. Check your results by... Problem 1.62P: Use the dot product to find the angle between the position vectors A and B. Problem 1.63P: Let A and B be two nonparallel vectors that lie in a common plane S. If C=A(AB), which of the... Problem 1.64P: Determine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to... Problem 1.65P: Find a unit vector that is perpendicular to both A=4i-3j-2km and B=2i4j+3km. Problem 1.66P: The three points A(0,2,2),B(1,4,1), and C(3,0,0) define a plane. The coordinates are in inches. Find... Problem 1.67P: For the position vectors P and Q shown, determine the orthogonal component of P Ă— Q in the... Problem 1.68P: Compute the orthogonal Component of F=6i+20j12klb in the direction of the vector A=2i3j+5kft. Problem 1.69P: Compute the value of the scalar a for which the vectors A=3i+aj+2k and B=4ijk will be perpendicular. Problem 1.70P: Resolve A=3i+5j4k in. into two vector components-one parallel to and the other perpendicular to... Problem 1.71P: The force F=5i+12j+4k lb is applied to the handle of the door. Determine the orthogonal component of... Problem 1.72P: Determine the value of the scalar a if the following three vectors are to lie in the same plane:... Problem 1.73P: Resolve the force F=20i+30j+50klb into two components-one perpendicular to plane ABC and the other... Problem 1.74P: It can be show that a plane area may he represented by a vector A=A, where A is the area and ... Problem 1.75P: The coordinates of the corners of a triangle ABC are A(3,1,0),B(2,2,3), and C(0,0,4). The units are... Problem 1.76P: Show that |abc| equals the volume of a parallelepiped that has a, b, and c as its edges. (Hint: See... Problem 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...
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In mechanical resistance
Transcribed Image Text: For the given data shown. the value
* :A1 is
200 mm
T
A1
30 mm
Neutral Axis (NA)
230 mm
A2
Relerence Line
40 mm
Area No.
Ares value (mm)
Distance from the
A v(mm)
center of area to the
reference line (mm) y
Rectangle A1
A1
Ay1
Rectangle A2
AZ
Ay2
EA
IAy
خيار 4
15,200 mm^2
9,200 mm^2
6,000 mm^2
For the given data shown. the value
For the given data shown. the value
of Y (distance from reference line to
* :of y2 is
* :the neutral axis) is
200 mm
200 mm
A1
30 mm
A1
30 mm
Neutral Axis IN.A
Neutral Asis INA
230 mm
230 mm
Y
A2
A2
Reference Line
Raference Line
40 mm
40 mm
Area No.
Area value (mm
Distance from the
A'v (mm)
Aren No.
Area value (mm)
Distance from the
A'v (mm)
center of area to the
reference line (mm) y
center of area to the
reference line (mm)y
Rectangle A1
A1
Ay1
Rectangle Al
A1
Hectangle A2
A2
v2
Ay2
Rectangle A2
A2
Ay2
EA
E Ay
JA
Ay
360 mm
116 mm
230 mm
115 mm
260 mm
245 mm
100 mm O
116 mm
Branch of science that deals with the stationary and moving bodies under the influence of forces.
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