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hey plus com ed ugen/ti/main uni Chapter 12, Problem 028 In the figure, suppose

ID: 1611790 • Letter: H

Question

hey plus com ed ugen/ti/main uni Chapter 12, Problem 028 In the figure, suppose the length L of the uniform bar is 2.6 m and its weight is 250 Also, the block's weight w- 340 N and the angle e 45 The wire can withstand a maximum tension of 410 N. (a) What is the maximum possible distance x before the wire breaks? With the block placed at this maximum are horizontal and (c) vertical components of the force on the bar from the hinge at A? (a) Number Units (b) Number (c) Number Units GO TUTORIAL LINK TO SAMPLE PROBLE LINK TO SAMPLE PROBLE LINK TO Version 4.22.3.4 Policy I 2000-2017 lohn Wley & Sons, Inc. All Rights Reserved. A Division of lohn Wiley. Sons, Inc. en/shared/assignment/test/aglist uninN10034 ENG 10:15 PM 4/23/2017

Explanation / Answer

given

w = 250 N
L = 2.6 m
W = 340 N
Tmax = 410 N
theta = 45 degrees
As the bar is in equilibrium, net force and net torque acting on it must be zero.

a)
Apply net torque about hinge, Tnet = 0

Tmax*L*sin(45) - w*(L/2)*sin(90) - W*x*sin(90) = 0

x = (Tmax*L*sin(45) - w*(L/2))/W

= (410*2.6*sin(45) - 250*2.6/2)/340

= 1.26 m   <<<<<<<<-------------------Answer

b) Apply, Fnetx = 0

Fhx - Tmax*sin(45) = 0

Thx = Tmax*sin(45)

= 410*sin(45)

= 290 N   <<<<<<<<-------------------Answer

c) Apply, Fnety = 0

Fhy + Tmax*cos(45) - w - W = 0

Fhy = w + W - Tmax*cos(45)

= 250 + 340 - 410*cos(45)

= 300 N <<<<<<<<-------------------Answer