The hydraulic cylinder BD exerts on member ABC a force P directed along line BD. Knowing that P must have a 750-N component perpendicular to member ABC, determine (a) the magnitude of the force P, (b) its component parallel to ABC?

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1 Answer
A08
May 24, 2018

(a) We need to find out #angle DBC#. From the figure

  1. #angle BDC=90-50=40^@#
  2. #angle BCD=90+(90-60)=120^@#
  3. #angle DBC+angle BCD+angle CDB=180^@#
    #=>angle DBC+120+40=180^@#
    #=>angle DBC=20^@#

    Given
    #P\ sin 20^@=750\ N#
    #=>P =750/sin 20^@\ N#
    #=>P =2193\ N#

(b) Component of #P# which is parallel to #ABC#, #P_(||)#

#P_(||)=P\ cos20^@=2193xxcos20^@=2061\ N#

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