Elementray Treatise On Kinematics And Dynamics

Cover Elementray Treatise On Kinematics And Dynamics
Elementray Treatise On Kinematics And Dynamics
James Gordon Macgregor
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Ans. (a) 5 v /3 radians per min. ; (b) 10 >/2 radians.
(4) A pendulum, suspended at a point in the polar axis of the earth, oscillates in a vertical plane. Find the motion of this plane relative to the earth, it being given that the earth rotates once a day about its polar axis from west to east.
Ans. It rotates about the polar axis from east to west at the rate of one complete rotation per day.
(5) A pendulum is hung at a place of latitude X and oscillates in a vertical plane. Find (a) the ang
...ular velocity of the plane of the pendulum's motion relative to the earth, and (b) the time in which this plane will make one complete revolution at a place in latitude 60 N. [A pendulum, so mounted that the angular velocity of the plane of its motion may be observed, is called Foucault's pendulum, the experiment having been first made by Foucault. That the experiment may be successful, the pendulum must be long, must have a very carefully made bob, and must be very carefully started. The agreement of the angular velocities deduced, as in this problem, from the assumption of the rotation of the earth on its axis once in 24 hours, with the actually observed angular velocities, is strong evidence for the rotation of the earth.

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