Theory of Machines - 1
Total time: --
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary
i) Relative velocity method
ii) Instantaneous centre method
In the toggle mechanism, as shown in figure is constrained to move on a horizontal path. The dimensions of various links are AB=200 mm, OC=150 mm, BD=450 mm and BC=300 mm. The crank OC is rotating in a counter clockwise direction at a speed of 180 rpm, increasing at the rate of 50 rad/sec2. Find for the given configuration -
i) Velocity and acceleration of D.
ii) Angular velocity and angular acceleration of BD.
i) The number of teeth on the pinion to avoid interference on it and the corresponding number of teeth on the wheel.
ii) The length of path and arc of contact.
iii) The number of pairs of teeth in contact.