Question 3

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Lau Kai Kwong
Username: lkk

Registered: 04-2003
Posted on Sunday, April 13, 2003 - 12:32 am:   

A uniform ladder rests in equilibrium with one end against a smooth vertical wall and the other end against a smooth plane inclined at 30° to the horizontal. Find the inclination of the ladder to the horizontal.

Please post your solution.
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971911
Username: 971911

Registered: 04-2003
Posted on Tuesday, April 15, 2003 - 10:11 pm:   

in equi
R2sin120=R1----1
take moment about mg
R1*l*cos60=R2*l*(90-£c)---2
on solving 1&2
tan£c=sin120
£c=40.9
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971911
Username: 971911

Registered: 04-2003
Posted on Tuesday, April 15, 2003 - 10:33 pm:   

oh how to post the picture????????
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Lau Kai Kwong
Username: lkk

Registered: 04-2003
Posted on Tuesday, April 15, 2003 - 11:13 pm:   

See the replies in Question 1. ªá has asked this question before.
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971911
Username: 971911

Registered: 04-2003
Posted on Tuesday, April 15, 2003 - 11:22 pm:   

description
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971911
Username: 971911

Registered: 04-2003
Posted on Tuesday, April 15, 2003 - 11:29 pm:   

description
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Lau Kai Kwong
Username: lkk

Registered: 04-2003
Posted on Tuesday, April 15, 2003 - 11:48 pm:   

From your figure, there is only forces to the right direction, but no forces to the left direction. So it is not in equilibrium.
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971911
Username: 971911

Registered: 04-2003
Posted on Wednesday, April 16, 2003 - 04:26 pm:   

R1 =R2cos60-----1
W =R2sin 60-----2
take moment about R2
R1 * 2 Lsin £c=W * Lcos£c-----3
on solving 1,2& 3
tan£c=(tan60)/2
£c=40.9
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971911
Username: 971911

Registered: 04-2003
Posted on Wednesday, April 16, 2003 - 04:28 pm:   

description
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Lau Kai Kwong
Username: lkk

Registered: 04-2003
Posted on Wednesday, April 16, 2003 - 06:57 pm:   

Okay. But how can you take moment about a force (R2)?

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