A bench seat is attached to a wall by hinges and supported from above by two rop
ID: 2143449 • Letter: A
Question
A bench seat is attached to a wall by hinges and supported from above by two ropes, as shown in the figure below. The seat weighs 138 N and is designed to support a person weighing up to 1235 N, sitting on the edge. How much tension must each rope be able to withstand? (Let? = 32.5
A bench seat is attached to a wall by hinges and supported from above by two ropes, as shown in the figure below. The seat weighs 138 N and is designed to support a person weighing up to 1235 N, sitting on the edge. How much tension must each rope be able to withstand? (Let? = 32.5 degree .)Explanation / Answer
set the verticle component of tension in the ropes is equal to the total force applied,
since there's two ropes.
2*Ft*cos(32.5)=1235 +138(1/2)
because the tension and applied force are on the edge
and the weight should be concentrated about the center and
this becomes a tourqe problem which is why the 138 N is multiplied by one half,
because it has a tourque arm that's half the length of the rest of the applied forces.
then
Ft=1304/(2*cos(32.5)
Ft=773.06966 N
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