🔒 Closed BARTLEBY UNLOCK

Status
Not open for further replies.
You do not have permission to view the full content of this post. Log in or register now.

You do not have permission to view the full content of this post. Log in or register now.

eto pa po sir. baka kung pwede pa po. maraming salamat poo
Link 1

1624164228788.webp
 
You do not have permission to view the full content of this post. Log in or register now.

You do not have permission to view the full content of this post. Log in or register now.

eto pa po sir. baka kung pwede pa po. maraming salamat poo
Link 2


Step 1
Given:-
The mass of the ladder is mL= 40 kg
the length of the ladder is L = 10 m
The center of the mass of the ladder is 1/3 of the way up the ladder
The coefficient of the static friction between the ladder and the ground is 053
The carpenter climbs 85 % of the way up the ladder before it starts to slip
Find:-
The mass of the carpenter?

Step 2
Solution:-
We made a free body diagram for this and get
e77cd000-cb9e-11eb-ab69-2d397a356b2c_mceclip0.webp
000000&chl=N%20%3D%20%7Bm_L%7Dg%20%2B%20%7Bm_c%7Dg.webp
0&chl=N%20%3D%20g%28%7Bm_L%7D%20%2B%20%7Bm_c%7D%29.webp
FFFF00&chco=000000&chl=%7BF_r%7D%20%3D%20%5Cmu%20N.webp
20%3D%20%5Cmu%20g%28%7Bm_L%7D%20%2B%20%7Bm_c%7D%29.webp
The net torque of the ladder is zero

o=000000&chl=%5Csum%20%7B%5Ctau%20%20%3D%200%7D%20.webp
%7Bm_c%7Dg%7Bd_2%7D%20-%20%7BF_w%7D%20%5Ctimes%207.webp
The angle which ladder make with the horizontal ground surface is given as
=%5Csin%20%28%5Ctheta%20%29%20%3D%20%5Cfrac%7B%7B7.webp
theta%20%20%3D%20%7B%5Csin%20%5E%7B%20-%201%7D%7D0.webp
FFFFFF00&chco=000000&chl=%5Ctheta%20%20%3D%20%7B50.webp
now then form the figure
36%20%3D%20%5Cfrac%7B%7B10%7D%7D%7B3%7D%5Ccos%2050.webp
&chco=000000&chl=%7Bd_1%7D%20%3D%203.33%5Ccos%2050.webp
Now we know that the carpenter is climb at 85% of ladder means 8.5 m from the ground on ladder.
So
0&chco=000000&chl=%7Bd_2%7D%20%3D%208.5%5Ccos%2050.webp


208.5%5Ccos%2050.36%20-%20%7BF_w%7D%20%5Ctimes%207.webp
.36%20%2B%20%7Bm_c%7Dg%20%5Ctimes%208.5%5Ccos%2050.webp
Now we know that from figure

FFFF00&chco=000000&chl=%7BF_w%7D%20%3D%20%7BF_r%7D.webp

so then equating the both equation
.36%20%2B%20%7Bm_c%7Dg%20%5Ctimes%208.5%5Ccos%2050.webp
.36%20%2B%20%7Bm_c%7Dg%20%5Ctimes%208.5%5Ccos%2050.webp
%7Bm_L%7Dg%20%5Ctimes%203.33%5Ccos%2050.36%20-%207.webp
29%20%3D%20%7Bm_L%7Dg%283.33%5Ccos%2050.36%20-%207.webp
7B7.7%5Cmu%20g%20-%20g%20%5Ctimes%208.5%5Ccos%2050.webp
Ctimes%209.8%20-%209.8%20%5Ctimes%208.5%5Ccos%2050.webp
bg,s,FFFFFF00&chco=000000&chl=%7Bm_c%7D%20%3D%2058.webp
So the mass of the carpenter is 58.37 kg .
 
Lods pa unlock po

You do not have permission to view the full content of this post. Log in or register now.

You do not have permission to view the full content of this post. Log in or register now.

You do not have permission to view the full content of this post. Log in or register now.

You do not have permission to view the full content of this post. Log in or register now.

You do not have permission to view the full content of this post. Log in or register now.

You do not have permission to view the full content of this post. Log in or register now.
 
Status
Not open for further replies.

Similar threads

About this Thread

  • 43
    Replies
  • 251
    Views
  • 16
    Participants
Last reply from:
papay1234

Trending Topics

Online now

Members online
1,201
Guests online
1,896
Total visitors
3,097

Forum statistics

Threads
2,286,145
Posts
29,035,926
Members
1,217,806
Latest member
abihikari1
Back
Top