For each of the following systems , state the number of physical degrees of free
ID: 1298427 • Letter: F
Question
For each of the following systems , state the number of physical degrees of freedom that the system has.
A) a pendulum consisting of an extensionless string and a point mass, constrained to swing in a vertical plane.
b) A pendulum consisting of an extensionless string and a point mass, allowed to swing in any direction.
c) Two pendula with extensionless strings and point masses, constrained to swing in the same vertical plane, with their masses connected by a spring.
d)Two pendula with extensionless strings and point masses, constrained to swing in the same vertical plane, with their masses connected by a rigid rod.
e) Two pendula with extensionless strings and point masses, allowed to swing in any direction, but with their masses connected by a rigid rod.
Explanation / Answer
(a) in vertical direction only one degree of freedom
(b)
In any direction it has three degrees of freedom.
(c)
It has one degrees of freedom
(d) it has fivedegree of freedom
(e)
It has six degrees of freedom
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