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engineering
engineering mechanics statics

Questions and Answers of Engineering Mechanics Statics

Express force F in Cartesian vector form if point B is located 3 m along the rod end C. B 4 m 4 m F = 600 N 3 m 6 m 4 m
Express the force F in Cartesian vector form if it acts at the midpoint B of the rod. A 4 m B 4 m F = 600 N 3 m 6 m D
Determine the magnitude and coordinates on angles of the resultant force. A 40 lb 20 lb 4 ft C 2 ft 20 y -2 ft 1.5 ft B -3 ft
The 8-m-long cable is anchored to the ground at A. If z = 5 m, determine the location + x, + y of point A. Choose a value such that x = y. В y
The 8-m-long cable is anchored to the ground at A. If x = 4 m and y = 2 m, determine the coordinate z to the highest point of attachment along the column. B y
Express force F as a Cartesian vector; then determine its coordinate direction angles. F = 135 lb 10 ft 5 ft 70° 30
Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F = 200 N F = 150 N F, = 90 N 60° y 45° 0000
Express each force in Cartesian vector form. F = 200 N F, = 150 N F, = 90 N 60° 45°
Specify the magnitude and coordinate direction angles α1, β1, γ1 of F1 so that the resultant of the three forces acting on the bracket FR = {-350k}lb is Note that F3 lies in the x–y plane.
Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F2 = 525 N 120 45° F = 450 N
Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F, = 125 N 20 60° 45° 60° F = 400 N %3D
Determine the coordinate direction angles of F1. F = 300 N 60° 120 45° 45° 60°- F2= 500 N
The screw eye is subjected to the two forces shown. Express each force in Cartesian vector form and then determine the resultant force. Find the magnitude and coordinate direction angles of the
Determine the magnitude and coordinate direction angles of the resultant force and sketch this vector on the coordinate system. F = 80 lb 30 40° F= 130 lb
Determine the magnitude and coordinate direction angles of the force F acting on the support. The component of F in the x-y plane is 7 kN. F 30 40° 7 kN
If F = 5 kN and θ = 30°, determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis. 4 kN 15° 30° 6 kN
Three forces act on the bracket. Determine the magnitude and direction θ of F so that the resultant force is directed along the positive x′ axis and has a magnitude of 8 kN. 4 kN F 15° 30 6 kN
Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. F2 = 26 kN 1213 5 30 F, = 30 kN
Determine the x and y components of each force acting on the gusset plate of a bridge truss. Show that the resultant force is zero. F = 6 kN F = 8 kN 888 F = 4 kN F, = 6 kN 888 888
Determine the magnitude of the resultant force and its orientation measured counterclockwise from the positive x axis. F = 15 kN 40° F = 26 kN 13 12 30° F3 = 36 kN
Determine the magnitude of the resultant force and its direction, measured clockwise from the positive x axis. 40 lb 3. 30 lb 13 V12 91 lb
Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. F = 750 N 45° 30° F = 850 N F2 = 625 N
Express F1, F2, and F3 as Cartesian vectors F3= 750 N 45° F = 850 N 30° F= 625 N
Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis. F = 8 kN F2 = 5 kN 60° 45° F = 4 kN
Express each of the three forces acting on the support in Cartesian vector form and determine the magnitude of the resultant force and its direction, measured clockwise from positive x axis. F,
Resolve each force acting on the gusset plate into its x and y components, and express each force as a Cartesian vector. F3 = 650 N F2 = 750 N 45° F, = 900 N
Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. y 60° 30 F = 400 N 45° F= 250 N
Resolve F1 and F2 into their x and y components. 60° 30 F = 400 N 45° F2 = 250 N
Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis. y F1 = 200 N 45° 30° F = 150 N
If the resultant force of the two tugboats is required to be directed towards the positive x-axis, and FR is to be a minimum, determine the magnitude of FR and FB and the angle θ. FA= 2 kN 30 B
If FB = 3kN and θ = 45°, determine the magnitude of the resultant force of the two tugboats and its direction measured clockwise from the positive x axis. F= 2 kN 30 FB B.
If the resultant force of the two tugboats is 3kN, directed along the positive axis, determine the required magnitude of force FB and its direction θ. FA= 2 kN 30° FB
If F1 = 30 lb and F2 = 40 lb, determine the angles u and f so that the resultant force is directed along the positive x axis and has a magnitude of FR = 60 lb. F, F2
Determine the magnitude and direction of the resultant force, measured counterclockwise from the positive x axis. Solve l by first finding the resultant F′ = F2 + F3 and then forming FR = F′ +
Determine the magnitude and direction of the resultant force, FR measured counterclockwise from the positive x axis. Solve the problem by first finding the resultant F′ = F1 + F2 and then
Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A. Determine the required angle ϕ(0° ≤ ϕ ≤ 45°) and the component acting along
Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A, and the component acting along member BC is 500 lb, directed from B towards C. Determine
Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis. 800 lb - 40° 35° 500 lb
If the resultant force acting on the support is to be 1200 lb, directed horizontally to the right, determine the force F in rope A and the corresponding angle θ. A. B 60° 900 lb
Resolve the force F1 into components acting along the u and v axes and determine the magnitudes of the components. 30° 75° F = 4 kN 30° F, = 6 kN
Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured clockwise from the positive u axis. 30° 75° F = 4 kN 30° F, = 6 kN
If the magnitude of the resultant force is to be 500 N, directed along the positive y axis, determine the magnitude of force F and its direction θ. F. 150 00 N
If θ = 60° and F = 450 N, determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive x axis. F, 15 700 N
Two particles have a mass of 8 kg and 12 kg, respectively. If they are 800 mm apart, determine the force of gravity acting between them. Compare this result with the weight of each particle.
A concrete column has a diameter of 350 mm and a length of 2 m. If the (mass/volume) density of concrete is 2.45 Mg/m3, determine the weight of the column in pounds.
Evaluate each of the following to three significant figures and express each answer in SI units using an appropriate prefix: (a) (212 mN)2(b) (52800 ms)2(c) [548(106)1/2 ms.
he density (mass volume) of aluminum is 5.26 slug/ft3. Determine its density in SI units. Use an appropriate prefix.
Evaluate each of the following to three significant figures and express each answer in SI units using an appropriate prefix: (a) (684 μm)/(43 ms)(b) (28ms)(0.0458 Mm)/(348 mg)(c) (2.68 mm)(426
Represent each of the following with SI units having an appropriate prefix: (a) 8653 ms, (b) 8368 N, (c) 0.893 kg.
Represent each of the following combinations of units in the correct SI form: (a) GN•mm, (b) kg/mm, (c) N/ks2, (d) kN/μs.
Represent each of the following combinations of units in the correct SI form using an appropriate prefix: (a) m/ms(b) μkm(c) ks/mg(d) km•μN
Represent each of the following combinations of units in the correct SI form using an appropriate prefix:(a) Mg/mm, (b) mN/μs, (c) μm•Mg
Round off the following numbers to three significant figures: (a) 58.342 m, (b) 68.534 s, (c) 2553 N, (d) 7555 kg.
Represent each of the following as a number between 0.1 and 1000 using an appropriate prefix: (a) 45320 kN, (b) 568(105) mm, (c) 0.00563 mg.
Convert: (a) 200 lb ft to N.m(b) 350 lb/ft3 to kN/m3(c) Express the result to three significant figures. Use an appropriate prefix.
Represent each of the following combinations of unit in the correct SI form: (a) Mg/ms, (b) N/mm, (c) mN/(kg•μs).
What is the weight in newtons of an object that has a mass of (a) 8 kg, (b) 0.04 kg, (c) 760 Mg
Ruiz and his two brothers founded a social club called the Last Snake Inn in 1991. They want to take advantage of a new state law that lets them serve beer, liquor, and wine to their patrons on

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