Question

MATLAB can solve for the locations of all objects in a mechanism. Test calculations are important to be able to check if the MATLAB calculations are correct. For this assignment, you are not to use MATLAB to calculate your answers. For Problems 1 and 2, determine the unknowns in Table 1 based upon a Four- Bar Linkage. If the problem asks for the minimum or maximum value determines these values as well. 04 Figure 1 - Four-Bar Linkage Table 1 - Values for Problems 1 and 2 (in) (in) (in) 02 (deg) 8 (des) (des) 0.5 1.5 1.5 Unknown Unknown Minimum value 0.5 1.5 1.5 Unknown Unknown Maximum value Problem ni(in) 1.2 1.2 2

Answer 1

The Grashoff's law St LLPtQ Given mechanism is a Crank rocker mechanism. so at Extreme position of link 4 rocker the angular velocity of link u will be zero. As angular accederation of link o 2 is zero. so angular acceleration of tin a all links will be zero. Now to get angular Velocity of link 3 at these positions we can use Kenedys theores of instantaneous co cantees canters .. . wm I mn- Imag= wn{Inm- Ina} Kenedys theorem also tell us that for any three links their relative instantaneous Centers must be Collinear. Al right Extreme position of line u IL42912 1 Ily as (Ixs-] a, (In - Isr]

2(100) = W, (400) we = 0.5 rad's and we ao Direction of angular velocity opposite seuse to to was will be in & Izy - II 10 124 1 633 = (I23 - 121] - w [132-13] 2(100) = (400) W3 = 0.5 rad's we will be in Direction of angular velocity Same sense to a