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In one dimensional problem, each node has _________ degrees of freedom.

(a) 2 degrees of freedom

(b) 3 degrees of freedom

(c) No degrees of freedom

(d) 1 degree of freedom

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The correct answer is (d) 1 degree of freedom

Easy explanation: A degrees of freedom may be defined as, the number of parameters of system that may vary independently. It is the number of parameters that determines the state of a physical system. In one dimensional problem, every node is permitted to displace only in the  direction. Thus each node has only one degree of freedom.

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