The location + x , + y of point A .

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Chapter 2, Problem 91P

To determine

The location +x,+y of point A.

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The net force exerted on the piston by the exploding fuel-air mixture and friction is 5 kN to the left. A clockwise couple M = 200 N-m acts on the crank AB. The moment of inertia of the crank about A is 0.0003 kg-m2 . The mass of the connecting rod BC is 0.36 kg, and its center of mass is 40 mm from B on the line from B to C. The connecting rod’s moment of inertia about its center of mass is 0.0004 kg-m2 . The mass of the piston is 4.6 kg. The crank AB has a counterclockwise angular velocity of 2000 rpm at the instant shown. Neglect the gravitational forces on the crank, connecting rod, and piston – they still have mass, just don’t include weight on the FBDs. What is the piston’s acceleration?

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Problem 3 • Compute the coefficient matrix and the right-hand side of the n-parameter Ritz approximation of the equation d du (1+x)· = 0 for 0 < x < 1 dx dx u (0) = 0, u(1) = 1 Use algebraic polynomials for the approximation functions. Specialize your result for n = 2 and compute the Ritz coefficients.