Question

take take angular v to be 10

8. In the Figure below, bar AB rotates with a clockwise angular velocity of 5 rad/s. Points A and D are fixed (VA= Vp=0). Find: a) The velocity of point B b) The angular velocity of BC and DC c) The vertical velocity VR of the rack in the rack-and-pinion gear (35 points) B 12 in 10 in 10 rad/s A 6 in IVR -- 6 in 16 in 6 in

Answer 1

Here, the angular velocity of AB is taken 10m/s.

All angles and lengths indicated, have been found by simple geometry.

Procedure is as follows:

1) Find the value of Va, and draw ab vector (of length ab) perpendicular to AB.

2) From b, draw a line perpendicular to BC.

3) From a, draw a line perpendicular to CD

4) Suppose the line drawn from 2 and 3 step, intersect each other at at point c.

5) Then measure the length of bc, and multiply it by the scale of figure choosen. It gives us Vc.

Rest is explained in the solution. However, if still any doubt or confusion arises, feel free to ask in the comments section. I'll be happy to help you out with that.

201 Tirupati. Date II Page Sol we will solve the problem by_quapbical method: So, here_Since_the_points_A_and_D_are_fixed. Therefore, they can be considered as a single_boint Nad hete Velocity of B, VB: WB(AB) 104_0B) 13-4X10 =134 inculseci 50° A8=16)2+(1232 = 180 = 13.4 inches Scale For 400 as B link diagram C 1.2 scale For velocity diagram = 1:20 to 134 inch sec 150° 200 13.4 inches 60° 462:50 日 { By measuring si le get Veda Vc = bcxzo be] = 7.5x20 - 150 inc/s Now Veer TeX CD Wen. Vco/CD 150/1004 = 14:42 rad/sec Therefore VR z tongential belonty_at_teeth of gear 14:42 X 6 VR 86.5 inches/sec