Question

Questions

1. A bar AB of weight W is hinged to a vertical wall at A

and supported at B by a string BC as shown in Figure. 

Find the magnitude of tensile force in the string BC.

Take α = 300

.

2. A 750 N man stands on the middle rung of a 250 N 

ladder, as shown in figure. Assuming the end B rest on 

the corner of a wall and a stop at A to prevent slipping, 

determine the reaction at A and B.

3. A right angled bar is supported by roller at B and a 

hinge at A, as shown in Figure. Find the reaction at A 

and B due to a load P applied as shown.

4. A roller of radius 100 mm and weight 200 N is to be 

publled over a curb of height 40 mm by a force P 

applied at the center O, as shown in Figure. Find the 

minimum force P required to start the roller over the 

curb.

Answer 1

As figure is not given in this so i am assuming figure for this question

In equilibrium condition we know that

$\Sigma F_x= 0, \Sigma F_y= 0$

and $\Sigma M=0$

So,

Now,

$R_x-Tcos 30^o=0, R_y+Tsin 30^0= 14.66$

and ,

$R_x.0+R_y.0-10(3.5-.12)-4.66\times 2.5 +Tcos30\times 0.25+Tsin 30^0\times 4.88=0$

on solving we get

T= 19.84 kN