# HW33 - p a _ B ‘9“! fog 7 N / f .r l " (7,";...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: p a _ B ‘9“! fog 7 N / f .r l " (7,"; “‘l/ i f 9 I z ,2 A ’w PROBLEM 10.17 Derive an expression for the magnitude of the couple M required to maintain the equilibrium of the linkage shown. SOLUTION Have x5 : lsinﬂ 5x3 = 10051960 y“, = [0050 514 = —l sina966 Virtual Work: 5U = 0; M69 — P519; + P5y4 : 0 Mé‘ﬂ — P(lcos€56) + P(7lsin¢966) = 0 M = Pl(sin6 + 9056) 4 PROBLEM 10.20 A couple M of magnitude 75 lb'ft is applied as shown to the crank of the engine system. Knowing that AB = 2.5 in. and BC : 10 in, determine the force P required to maintain the equilibrium of the system when (a) 0 = 60°, (11) 9 = 120°. SOLUTION Bsin(0 + ¢) P From the analysis of Problem 10.19, M 2 A cos¢ Now, with M = 751b-ft = 9001b-in. (a) For 6 : 60° sin¢ = Zlégsin 60°, ¢ = 12504" (900113411) = (2.5 MW c0512.504° (P) or P 2 368.5 lb P = 3691b -> 4 (b) For 6 2 120° sin¢ = %sin120°, ¢ : 12.504° sin(120° + 12.504°) c0512.504° (P) (900 lein.) = (2.5 in.) or P=476.7 1b P : 4771b -+ 4 PROBLEM 10.29 Two rods AC and CE are connected by a pin at C and by a spring AE. The constant of the spring is k, and the spring is unstretched when 0 : 30°. For the loading shown, derive an equation in R63, 1, and k that must be satisﬁed when the system is in equilibrium. s rwmwmmww-TE P SOLUTION yE = 10059 6yE = —lsin6l§t9 Unstretched length = 21 x = 2(ZIsin6l) = 4lsint9 5x = 4Zcos€50 F = k(x — 21) F = k(4lsin€ — 21) Virtual Work: 6U = 0: Pb‘yE —F6x = 0 P(—lsin¢9§0) — k(4lsint9 — 21)(41c05050) = 0 —Psinl9 — 8k1(2sin0 —1)cos6 = 0 or i=(l—23in9)césg L=—;23ing‘ 8k] sml9 8k] tam9 ...
View Full Document

## This note was uploaded on 05/18/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

### Page1 / 3

HW33 - p a _ B ‘9“! fog 7 N / f .r l " (7,";...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online