The mass of crate D is held in position by two blocks, Band C, which are attached to the ring at A. The angle that rope AC makes in a counterclockwise direction from the positive x-axis is theta = 30 degree as shown. The mass of block B is equal to that of C,  mB=mC=158 kg (i) Draw the free body diagram of the point of equilibrium (ii) Write down the static equilibrium equations (iii) Determine the angle phi and the weight of block D (iv) Why will point A be the midpoint between B and C? Explain (v) If all three weights are equal can equilibrium be maintained?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
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Problem 7.10P
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The mass of crate D is held in position by two blocks, Band C, which are attached to the ring at A. The angle that rope AC makes in a counterclockwise direction from the positive x-axis is theta = 30 degree as shown. The mass of block B is equal to that of C,  mB=mC=158 kg

(i) Draw the free body diagram of the point of equilibrium

(ii) Write down the static equilibrium equations

(iii) Determine the angle phi and the weight of block D

(iv) Why will point A be the midpoint between B and C? Explain

(v) If all three weights are equal can equilibrium be maintained?

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