Q1 The uniform rod AB, 16 mm in diameter, is made of brass for which oy = 125 MPa and E = 105GPa. Collar D moves along the rod and has a speed Vo = 3 m/s as it strikes a small plate attachedto end A of the rod. Using a factor of safety of four (with respect to the mass), determine thelargest allowable mass of the collar if the rod is not to be permanently deformed.AØ 16 mmD1.2 mB

Answered: A of the rod. Using a factor of safety…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Q1 The uniform rod AB, 16 mm in diameter, is made of brass for which oy = 125 MPa and E = 105
GPa. Collar D moves along the rod and has a speed Vo = 3 m/s as it strikes a small plate attached
to end A of the rod. Using a factor of safety of four (with respect to the mass), determine the
largest allowable mass of the collar if the rod is not to be permanently deformed.
A
Ø 16 mm
D
1.2 m
B

Expert Solution

Step 1

Given-Information:-

$D i a m e t e r o f t h e r o d A B, d_{A B} = 16 m m = 0.016 m S p e e d o f c o l l o r, v_{o} = 3 m / s M o d u l u s o f E l a s t i c i t y, E = 105 \times 10^{9} P a A l l o w a b l e S t r e s s i n r o d, σ_{y} = 250 M P a = 250 \times 10^{6} P a L e n g t h o f t h e r o d A B, L_{A B} = 1.2 m$

To-Determine:-

$L a r g e s t a l l o w a b l e m a s s o f t h e c o l l a r$

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