Write down the equations of constraint/s for the following systems and classify them as holonomic/nonholonomic and scleronomic/rheonomic:
i) a particle of mass m sliding down the surface of a sphere of radius R without friction, under the action of gravity.
ii) a simple pendulum of length L for which the point of support is oscillating vertically with an angular speed and amplitude A.
For each of the given systems, let's write the equations of constraint and classify them as holonomic/nonholonomic and scleronomic/rheonomic:
i) A ___ _____ ________ ______ __________ ___ _____ _____ _______ _____ _________ ______.
___ _________ __________ ___ _________ _______ _________ ______ ___ ____ ______ __________.
_______ __________ __________ ___ ________ ___ _____ ______ _______ _________ ________.
____ ___ ________ ________ __________ ____ __________ _______ ____ _________.
_____ ___ _______ _________ ____.
__________ ________ _________ ______ _________ _________ _______ _______ __________ _____ _________ ______.
_____ ________ ____ _________ _________ ____ ___ _________ ___ ____.
_______ ____ _____ ____ _____ _____ _________.
______ __________ ___ ________ __________.
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Write down the equations of constraint/s for the following systems and classify them as holonomic/nonholonomic and scleronomic/rheonomic:
i) a particle of mass m sliding down the surface of a sphere of radius R without friction, under the action of gravity.
ii) a simple pendulum of length L for which the point of support is oscillating vertically with an angular speed and amplitude A.