Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Problem 001
Problem Determine the x and y components of the forces shown below in Fig P-001.
Solution 001
Rectangular Representation
From the above vector notation of forces, Fx is the coefficient of i and Fy is the coefficient of j.
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Problem 002
Compute the x and y components of each of the four forces shown in Fig. P-002.
Solution 002
Rectangular Representation
The coefficients of i and j from the vector notations are the respective x and y components of each force.
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Problem 005
Find the components in the x, y, u and v directions of the force P = 10 kN shown inFig. P-005.
Solution 005
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Problem 006
The force P of magnitude 50 kN is acting at 215° from the x-axis. Find the components of P in u 157°
from x, and v negative 69° from x.
Solution 006
From the figure:
Check:
(ok)
By Sine Law:
answer
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Problem 008
A force P = 800 N is shown in Fig. P-008.
a.
b.
c.
d.
Find the y-component of P with respect to x and y axis.
Find the y'-component of P with respect to x' and y' axis.
Find the y-component of P with respect to x' and y axis.
Find the y'-component of P with respect to x and y' axis.
Solution 008
Part (a)
y-component of P with respect to x and y axis
answer
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Part (b)
y'-component of P with respect to x' and y' axis
answer
Part (c)
y-component of P with respect to x' and y axis
The figure formed is in the shape of equilateral triangle. Thus,
answer
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Part (d)
y'-component of P with respect to x and y' axis
By Sine Law
answer
answer
Problem 010
The triangular block shown in Fig. P-010 is subjected to the loads P = 1600 lb and F = 600 lb. If AB = 8
in. and BC = 6 in., resolve each load into components normal and tangential to AC.
Solution 010
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
Problem 017
If the force F shown in Fig. P-017 is resolved into components parallel to the bars AB and BC, the magnitude of the
component parallel to bar BC is 4 kN. What are the magnitudes of F and its component parallel to AB?
Solution 017
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Level -4 Statics:210 GE/ Topic: Components of a force/Instructor:‫ ضياء الرحمن‬.‫م‬
By Sine law
answer
answer
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