At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate Ο = 7 rad/s. Pin P on link OD slides in the slot BC of link ABC which is hinged at A, and causes a clockwise rotation of the link ABC. The magnitude of angular velocity of link ABC for this instant is _________ rad/s (rounded off to 2 decimal places).
![GATE ME 2024 Theory of Machines - Analysis of Plane Mechanisms Question 5 English](https://app-content.cdn.examgoal.net/fly/@width/image/6y3zli1lx72lrug/4d5c05c3-a576-4382-a54a-26b9241980de/6dc4ab80-261c-11ef-a279-4f9760cfcb83/file-6y3zli1lx72lruh.png?format=png)
The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity π1. A rigid bar PQ is pinned to the wheel at P while the end Q slides on the floor.
What is the angular velocity π2 of the bar PQ?
![GATE ME 2023 Theory of Machines - Analysis of Plane Mechanisms Question 1 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lz4ag8wx/2f4e6a5d-163e-4b43-b388-508d04e7bae0/31f0f910-4c2d-11ef-8da2-8d5e9df213cb/file-jaoe38c1lz4ag8wy.png?format=png)
In the configuration of the planar four-bar mechanism at a certain instant as shown in the figure, the angular velocity of the 2 cm long link is Ο2 = 5 rad/s. Given the dimensions as shown, the magnitude of the angular velocity Ο4 of the 4 cm long link is given by rad/s (round off to 2 decimal places).
![GATE ME 2022 Set 2 Theory of Machines - Analysis of Plane Mechanisms Question 2 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1m06itfmt/d8f5bfa2-5776-4c53-8a03-0adbdfcdda7a/b25cb060-6133-11ef-b362-5bd272b833e9/file-jaoe38c1m06itfmu.webp?format=webp)
A planar four-bar linkage mechanism with 3 revolute kinematic pairs and 1 prismatic kinematic pair is shown in the figure, where AB β₯ CE and FD β₯ CE. The T-shaped link CDEF is constructed such that the slider B can cross the point D, and CE is sufficiently long. For the given lengths as shown, the mechanism is
![GATE ME 2022 Set 1 Theory of Machines - Analysis of Plane Mechanisms Question 3 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lzqil9o3/44b587c2-4575-4c20-9531-9269add0e5b8/44e3e830-5866-11ef-94af-39d5f0b54eb8/file-jaoe38c1lzqil9o4.webp?format=webp)