Solucionario Beer Dinâmica 8 ed Cap. 16

Solucionario Beer Dinâmica 8 ed Cap. 16

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 1.

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 2.

Alternative eff:AM∑=∑ g a = o

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 3.

g a=

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 4.

See the free body diagram for problem 16.3 sinxFmgmaθ∑== sinagθ=

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 5. (a) If rear-wheel brakes fail to operate:

()eff:, xxBkBWFFFmaNag µΣ=Σ==

WWWa a g g

1212.227 ft/s

Uniformly accelerated motion

()()222202030 ft/s212.227 ft/svvaxx=+=−

36.8 ftx= ! (b) If front-wheel brakes fail to operate:

continued

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

()eff:, xxAkAWFFFmaNag µΣ=Σ==

WWWa a g g

1210.648 ft/s

Uniformly accelerated motion

()()222202030 ft/s210.648 ft/svvaxx=+=−

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 6. (a) Four-wheel drive:

0:0yABABFNNWNNWmgΣ=+−=+==

Thus: () 0.80AB k A k B k A B kFF N N N N W mgµµ µ µ+= + = + = =

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

(c) Front-wheel drive:

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 7. (a) Sliding impends:

() eff :s in30yyFF N mg maΣ= Σ − = °

;0.25; sin303.3333cos30
;0.3; 3.33Fdh

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 8. (a) Sliding impends:

() eff : cos30xxFF F maΣ= Σ = °

;0.3

Fm a

(b) Tipping impends:

;

()effGGMMΣ=Σ

2 hd F dFW Nh

;0.30; 3.33Fdh

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Vector Mechanics for Engineers: Statics and Dynamics, 8/e, Ferdinand P. Beer, E. Russell Johnston, Jr., Elliot R. Eisenberg, William E. Clausen, David Mazurek, Phillip J. Cornwell © 2007 The McGraw-Hill Companies.

Chapter 16, Solution 9.

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