4020-F2011-HW7Solutions - MSE 4020 HW7-SOLUTION 11/10/2011...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1 MSE 4020 HW7-SOLUTION 11/10/2011 Problem 1 Force applied on the shank is, F SN = ! D 2 4 2K ( ) = ! D 2 K 2 ! D "#" K = F SN = ! D 2 K 2 $ # = D 2 $ # = # = D 2 / 1 n = D " n 2
Background image of page 1

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

View Full DocumentRight Arrow Icon
2 Problem 2 First, divide the whole system into blocks A, B, C and D (see sketch above), and analyze the their relative displacement q (with different indices) between contacting blocks. Angle α is to be determined. W = F t q A = 4 l AB ! q AB + l BD ! q BD ( ) ! K From triangular geometry: q AB sin30 ° = q A sin45 ° ! q AB = 1 2 q A 1/ 2 = 2 2 q A q BD sin75 ° = q AB sin " 2 ! q BD = sin75 ° # q AB sin " 2 = 2 2 q A # sin75 ° sin " 2 l AB # sin75 ° = 2.5t ! l AB = 2.5t sin75 ° l BD # sin " 2 = 0.5t ! l BD = 0.5t sin " 2
Background image of page 2
! F t = 4 q A 2.5t sin75 ° " 2 2 q A + 2 2 " 0.5t sin # 2 " sin75 ° sin # 2 q A $ % ' ( ) ) ) ) " K = 2 2 t 2.5 sin75 ° + 0.5 " sin75 ° sin 2 # 2 $ % ' ( ) ) ) ) " K Also from geometry, tan30 ° = 2t l ! l = 2t tan30 ° = 2 3 t ! 2.5t
Background image of page 3

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

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/05/2011 for the course MSE 4020 at Cornell University (Engineering School).

Page1 / 6

4020-F2011-HW7Solutions - MSE 4020 HW7-SOLUTION 11/10/2011...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online