A 698 N uniform boom is supported by a cable as shown. The boom is pivoted at th
ID: 2213159 • Letter: A
Question
A 698 N uniform boom is supported by a cable as shown. The boom is pivoted at the bottom, and a 1230 N object hangs from its end. The boom has a length of 15 m and is at an angle of 53? above the horizontal. A support cable is attached to the boom at a distance of 0.74L from the foot of the boom and its tension is perpendicular to the boom. 1. Find the tension in the cable holding up the boom. Answer in units of N 2. Find the horizontal component of the reaction force on the boom by the ?oor. Answer in units of N 3. Find the vertical components of the reaction force on the boom by the ?oor. Answer in units of N
A 698 N uniform boom is supported by a cable as shown. The boom is pivoted at the bottom, and a 1230 N object hangs from its end. The boom has a length of 15 m and is at an angle of 53? above the horizontal. A support cable is attached to the boom at a distance of 0.74L from the foot of the boom and its tension is perpendicular to the boom. 1. Find the tension in the cable holding up the boom. Answer in units of N 2. Find the horizontal component of the reaction force on the boom by the ?oor. Answer in units of N 3. Find the vertical components of the reaction force on the boom by the ?oor. Answer in units of NExplanation / Answer
let reaction by floor=Rx and Ry tension in string=T Rx=T*sin(53) T*cos(53)+Ry=698+1230=1928 N moment about hinge 698*7.5*cos(53)+1230*15*cos(53)=T*11.1 T=1284.14 N Rx=1025.56 N Ry=1155.26 N
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