Question

Instructions: Solve the following problems. Use short bond papers for the solution and box all final answers. Scan or take a photo of your solution and upload it in Canvas Note: USE A SUITABLE SCALE FOR THE DRAWING Problem 1: Determine the angular velocity (in rad/s) of link CD if link AB rotates at 120 rpm using: a) By Instantaneous Center Method b) By Relative Velocity Method 360 mm AD 600 mmm

Answer 1

Given: N_BA = 120 r.p.m. or w_BA = 2 pi times 120/60 = 12.568 rad/s. Since the length of crank AB = 300 nm = 0.3 m, therefore velocity of B with respect to A or velocity of B. [Because A is a Fixed point]. V_BA = V_B = w_BA times AB = 12.568 times 0.3 = 3.7704 m/s. First of all, draw the space diagram to some suitable scale, as shown in fig. (A), Now the velocity diagram as shown in fig. (B), is drawn as discussed below: - \r\n 1. Since the Link AD is Fixed. Therefore points a and a are taken as as one point in the velocity diagram. Draw vector ab perpendicular to BA, to some suitable scale, to represent the velocity of B with respect to A or simply velocity of B such that Vector ab = V_BA = V_B = 3.7704 m/s