Statics of Particle and Forces: Force resolution and representation, Equilibrium, Free-body diagram, etc. 1-1 The crate of mass m kg is hoisted using a pulley-ring connector and inextensible cables as shown. a) With a simple diagram, explain how a given 2-D rigid body with multiple concurrent forces can be treated as a particle- b) (i) Express EBC in its rectangular components using the Cartesian coordinates. (ii) Find the resultant of the weight of the crate and the tension in cable BC. (iii) Determine the magnitude of the tension in cable BD and the angle required for static equilibrium. c) Assess the condition of equilibrium if a small ring is used at B instead of the pulley and that cable BD is directed at 0= 40°. X B A DO

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Statics of Particle and Forces: Force resolution and representation, Equilibrium, Free-body diagram, etc.
1-1 The crate of mass m kg is hoisted using a pulley-ring
connector and inextensible cables as shown.
a) With a simple diagram, explain how a given 2-D
rigid body with multiple concurrent forces can be
treated as a particle-
b) (i) Express EFBc in its rectangular components using
the Cartesian coordinates. (ii) Find the resultant of
the weight of the crate and the tension in cable BC.
(iii) Determine the magnitude of the tension in
cable BD and the angle required for static
equilibrium.
c) Assess the condition of equilibrium if a small ring is
used at B instead of the pulley and that cable BD is
directed at 0= 40°.
[b) (i) Inc - 0.6mg i-0.8mg i N; (ii) R = -0.6mg i- 1.8mg i N; (iii) TBD =
1.9mg N and 0= 71.6°]
B
A
Transcribed Image Text:Statics of Particle and Forces: Force resolution and representation, Equilibrium, Free-body diagram, etc. 1-1 The crate of mass m kg is hoisted using a pulley-ring connector and inextensible cables as shown. a) With a simple diagram, explain how a given 2-D rigid body with multiple concurrent forces can be treated as a particle- b) (i) Express EFBc in its rectangular components using the Cartesian coordinates. (ii) Find the resultant of the weight of the crate and the tension in cable BC. (iii) Determine the magnitude of the tension in cable BD and the angle required for static equilibrium. c) Assess the condition of equilibrium if a small ring is used at B instead of the pulley and that cable BD is directed at 0= 40°. [b) (i) Inc - 0.6mg i-0.8mg i N; (ii) R = -0.6mg i- 1.8mg i N; (iii) TBD = 1.9mg N and 0= 71.6°] B A
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