3.minor arc AB of a vertical circle with centre O and radius / m, as shown in the diagram.particle P of mass m kg. The particle P is set in motion so that it moves back and forth along theOne end of a light rod of length / m is attached to a fixed point O and the other end is attached to aPBCWhen P is at its lowest point C, its speed is u ms and the tension in the rod is 2mg N.(a) Show that u = √gl.(b) The speed of P when OP makes an angle 8 with the vertical is denoted by v ms. Show thatv² = gl (2cos8 - 1).(c) Find the greatest value of 8.(d) Find the value of 0 when the tension in the rod is mg N.

Given: The tension at C, T= 2mg

3. minor arc AB of a vertical circle with centre O and radius I m, as shown in the diagram. particle P of mass m kg. The particle P is set in motion so that it moves back and forth along the One end of a light rod of length / m is attached to a fixed point O and the other end is attached to a 0 B C When P is at its lowest point C, its speed is u ms" and the tension in the rod is 2mg N.

3. minor arc AB of a vertical circle with centre O and radius I m, as shown in the diagram. particle P of mass m kg. The particle P is set in motion so that it moves back and forth along the One end of a light rod of length / m is attached to a fixed point O and the other end is attached to a 0 B C When P is at its lowest point C, its speed is u ms" and the tension in the rod is 2mg N.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

3.
minor arc AB of a vertical circle with centre O and radius / m, as shown in the diagram.
particle P of mass m kg. The particle P is set in motion so that it moves back and forth along the
One end of a light rod of length / m is attached to a fixed point O and the other end is attached to a
P
B
C
When P is at its lowest point C, its speed is u ms and the tension in the rod is 2mg N.
(a) Show that u = √gl.
(b) The speed of P when OP makes an angle 8 with the vertical is denoted by v ms. Show that
v² = gl (2cos8 - 1).
(c) Find the greatest value of 8.
(d) Find the value of 0 when the tension in the rod is mg N.

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