213_Dynamics 11ed Manual

213_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Unformatted text preview: Engineering Mechanics - Dynamics Chapter 13 Given: M = 50 kg θ' = 1.5 rad s r0 = 4 m b = 0.5 m Solution: z = b sin ( θ ) z' = b cos ( θ ) θ' z'' = −b sin ( θ ) θ' 2 F z − M g = M z'' ( F z = M g − b sin ( θ ) θ' 2) ( 2 F zmin = M( g − bθ' ) 2 ) F zmax = M g + bθ' F zmax = 547 N F zmin = 434 N Problem 13-90 The particle of weight W is guided along the circular path using the slotted arm guide. If the arm has angular velocity θ' and angular acceleration θ'' at the instant θ = θ1, determine the force of the guide on the particle. Motion occurs in the horizontal plane . θ 1 = 30 deg Given: W = 0.5 lb a = 0.5 ft rad b = 0.5 ft θ' = 4 θ'' = 8 s rad 2 s Solution: g = 32.2 ft 2 s θ = θ1 ( a)sin ( θ ) = b sin ( φ ) φ = asin ⎛ sin ( θ )⎞ ⎜ ⎟ a ⎝b 211 ⎠ φ = 30 deg ...
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