A loop of rope is used to diagonally support a granite block on a 60-degree smooth...
A loop of rope is used to diagonally support a granite block on a 60-degree smooth incline (measured from the horizontal). The loop is connected between a hook at the top of the incline and a second hook on the block. In between the block and the incline itself is a frictionless spring with a constant of 3 kN/m and a compression distance of 1 cm. Find the tension in the rope.
Homework Answers
The component of weight of granite block perpendicular to the surface on the spring Mg cos(60) = kx
Component of weight along the incline Mg sin(60) = tension T
T = kx tan(60) = 3000*0.01*√3 = 51.96 N
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