A rope passes through a small hole made on a smooth horizontal table. Two particles of equal mass are tied one at each end of the string. One of the particles hangs vertically and the other remains on the table at a distance a from the hole. The particle on the table is projected with a velocity ga perpendicular to the chord. Show that the hanging particle remains at rest. If the hanging particle is slightly disturbed in the vertical

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A rope passes through a small hole made on a smooth horizontal table. Two particles of equal mass
are tied one at each end of the string. One of the particles hangs vertically and the other remains on
the table at a distance a from the hole. The particle on the table is projected with a velocity Vga
perpendicular to the chord.
Show that the hanging particle remains at rest. If the hanging particle is slightly disturbed in the vertical
direction. Show that the period of the small oscillations is 2n/2a/3g.
Transcribed Image Text:A rope passes through a small hole made on a smooth horizontal table. Two particles of equal mass are tied one at each end of the string. One of the particles hangs vertically and the other remains on the table at a distance a from the hole. The particle on the table is projected with a velocity Vga perpendicular to the chord. Show that the hanging particle remains at rest. If the hanging particle is slightly disturbed in the vertical direction. Show that the period of the small oscillations is 2n/2a/3g.
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