%3Cp%3E%3Cspan%20style%3D%22color%3A%26nbsp%3Brgb(51%2C%26nbsp%3B51%2C%26nbsp%3B
ID: 2280294 • Letter: #
Question
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/ Answer
First, the energy of the sliding crate be absorbed by the spring
0.5*k*x^2=1520*7.6*sin22-569*7.6 .......................(1)
and the force of the compressed spring be equal to the parallel component of the weight of the crate plus static friction
k*x=1520*sin22+569
solve for k
k=(1520*sin22+569)/x ..................(2)
in equation (1) value of k put it the equation to evaluate x..........
so, x = 2*(1520*7.6*sin22-569*7.6) / (1520*sin22+569) = 5.37*10^-3
now value of x put in equation (2) for evaluate k..........
so, k = (1520*sin22+569)/5.37*10^-3 = 212 KN/m
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