Question

The linkage shown below has the known dimensions of a, b, cand d. It can be shown by geometry that the relationship between the angles a and B is (d-acos α-bcos β)2 + (a sin α + bsin β)2-C2-0 For a given value ofa, we can solve this transcendental equation for β by one ofthe root-finding methods we learned in the class. This had been done with a-0, 5, 10.30, the results being α (deg) 0 β (rad) 1.6595 | 1.5434 | 1.4186 | 1.2925 | 1.1712 | 1.0585 | 0.9561 5 10 15 20 25 30 If link AB rotates with the constant angular velocity (da/ dt) of 25 rad/s (1) Use finite difference approximations of O(h2) to tabulate the angular velocity dß/dt of link BC against a.(3 points (2) Calculate dpdt at α = 15-using the Richardson Extrapolation Formula (2 points)

Answer 1

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