{"id":901,"date":"2024-07-06T16:21:30","date_gmt":"2024-07-06T10:51:30","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=901"},"modified":"2025-07-16T15:00:40","modified_gmt":"2025-07-16T09:30:40","slug":"theory-of-instantaneous-centre","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/me\/theory-of-machines\/theory-of-instantaneous-centre","title":{"rendered":"Theory of Instantaneous Centre"},"content":{"rendered":"

Instantaneous centre of rotation or virtual centre.<\/p>\r\n

Let a plane body \u2018P<\/em>\u2019 having non-linear motion relative to another plane body Q<\/em>. At any instant, the linear velocities of the point \u2018A<\/em>\u2019 and \u2018B <\/em>\u2019 on the body \u2018P <\/em>\u2019 are \u2018V<\/em>a<\/em>\u2019 and \u2018V<\/em>b<\/em>\u2019 respectively.<\/p>\r\n

If a line is drawn perpendicular to the direction of V<\/em>a <\/em>at \u2018A<\/em>\u2019, the\u00a0body can be imagined to rotate about some point on this line. Similarly it is for point B<\/em>.<\/p>\r\n

If the intersection of the two lines is at \u2018I <\/em>\u2019, the body \u2018P <\/em>\u2019 will be rotating about I <\/em>at the instant.<\/p>\r\n

This point \u2018I<\/em>\u2019 is known as instantaneous centre of velocity.<\/p>\r\n

\"Instantaneous<\/p>\r\n

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