(a) Explanation Given information: The weight of the rigid beam ( W ' ) is 240 lb . The weight of the block ( W ) is 60 lb . The block is dropped from the height ( h ) is 5 ft . The acceleration due to gravity ( g ) is 32.2 ft / s 2 . Calculation: Calculate the mass of the block ( m ) using the formula: W = m g m = W g Substitute 60 lb for W and 32.2 ft / s 2 for g . m = 60 32.2 = 1.8634 lb ⋅ s 2 / ft The initial kinetic energy of the block ( T 1 ) is zero. Calculate the initial potential energy ( V 1 ) of the block using the relation: V 1 = W h Substitute 60 lb for W and 5 ft for h . V 1 = 60 ( 5 ) = 300 lb ⋅ ft The expression for the final kinetic energy of the block ( T 2 ) as follows; T 2 = 1 2 m v 2 The final potential energy of the block ( V 2 ) is zero. Calculate the velocity ( v ) of the block just before impact using the relation: T 1 + V 1 = T 2 + V 2 Substitute 0 for T 1 , 300 lb ⋅ ft for V 1 , 1 2 m v 2 for T 2 and 0 for V 2 . 0 + 300 lb ⋅ ft= 1 2 m v 2 + 0 300 lb ⋅ ft = 1 2 m v 2 Substitute 1.8634 lb ⋅ s 2 / ft for m . 300 lb ⋅ ft= 1 2 ( 1.8634 ) v 2 v 2 = 2 ( 300 ) 1.8634 v = 2 ( 300 ) 1 (b) (a) To determine Find the initial impulse exerted on the chain ( F Δ t ) and the energy absorbed ( E ) by the chain when the beam are equivalent to two perfectly elastic springs.

VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)

12th Edition

ISBN: 9781260916942

Author: BEER

Publisher: MCG

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Chapter 13.3, Problem 13.154P

(a)

To determine

Find the initial impulse exerted on the chain (FΔt) and the energy absorbed (E) by the chain when the beam are perfectly rigid.

(b)

(a)

To determine

Find the initial impulse exerted on the chain (FΔt) and the energy absorbed (E) by the chain when the beam are equivalent to two perfectly elastic springs.

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Chapter 13.3, Problem 13.153P

Chapter 13.4, Problem 13.6CQ

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VEC MECH 180-DAT EBOOK ACCESS(STAT+DYNA)

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Find the initial impulse exerted on the chain ( F Δ t ) and the energy absorbed ( E ) by the chain when the beam are perfectly rigid.

Solution Summary: The author calculates the initial impulse exerted on the chain (FDelta t) and the energy absorbed ( E ) by the chains when the beam are perfectly rigid.