Categorize each of the following constraints as either scleronomic and rheonomic. i. A simple pendulum with its length changing with time as a given function l(t). ii. A cylinder rolling without slipping on a rough inclined plane of angle a. iii. A particle sliding down the inner surface of a paraboloid of revolution having its axis vertical and vertex downward.
Categorize each of the following constraints as either scleronomic and rheonomic. i. A simple pendulum with its length changing with time as a given function l(t). ii. A cylinder rolling without slipping on a rough inclined plane of angle a. iii. A particle sliding down the inner surface of a paraboloid of revolution having its axis vertical and vertex downward.
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Categorize each of the following constraints as either scleronomic and rheonomic.
i. A simple pendulum with its length changing with time as a given function l(t).
ii. A cylinder rolling without slipping on a rough inclined plane of angle a.
iii. A particle sliding down the inner surface of a paraboloid of revolution having its axis vertical and vertex downward.
iv. A bead is free to move along the length of a spoke in a bicycle wheel. The wheel is rotating about its axis with a constant angular speed.
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