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HW7-S07

# HW7-S07 - contributions from the acceleration of B in both...

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AEM 264-003/901 Homework #7 2/12/07 Due: Friday, 2/16/07 The six-step solution method, correct units and a reasonable number of significant digits (generally 3 or 4) are required for every problem solved in every homework assignment in this section of AEM 264. 1. Each of the blocks in the pulley system weighs 10 pounds. The pulleys have negligible weight compared to the blocks. Assuming no stretch in the cable and no friction on the pulleys, determine the accelerations of each of the blocks. Clearly indicate the direction of each block’s acceleration! 2. Problem #3.1.16 from Dynamics by Tongue and Sheppard Note that when the block B (or 2) is allowed to move, then the acceleration of A with respect to B ( B A x / ) is relative, not absolute. The absolute acceleration of block A has
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Unformatted text preview: contributions from the acceleration of B in both the X A/B and Y A/B directions as shown below. Use the kinematic definitions and the kinetics equations below to sum the forces on blocks A and B. B B X B Y B A Y / B A X / A B A B A r r r / r r r + = B A B A v v v / r r r + = B A B A a a a / r r r + = B A x / & & B x & & θ cos / B B A x x & & & & + sin B x & & − ( ) cos / / B B A A X x x m F B A & & & & + = + ∑ ( ) sin / B A Y x m F B A & & − = + ∑ B B X x m F B & & ∑ = + = = + ∑ B B Y y m F B & & 3. Problem #3.1.35 from Dynamics by Tongue and Sheppard 4. Problem #3.1.42 from Dynamics by Tongue and Sheppard • This is one of the few pulley problems that does NOT require a kinematics solution first. B A...
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