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a 10 kg body is suspended by a rope is pulled by means of horizontal force to make 60 degree with vertical. horizontal force is ?

 Apr 18, 2016
 #1
avatar+37146 
0

Is the 10kg objest being pulled up a 60 degree incline?  Or is the pulling force acting in a 60 degree direction (NOT horizontal) as the object is dragged along a flat surface?

 Apr 18, 2016
 #2
avatar+33661 
+5

I assume this is a pendulum bob held in equilibrium by a horizontal force, F.

 

The forces acting on the Bob are those of gravity (mg), the tension, T, in the string, and F.

 

Resolve forces horizontally and vertically.

 

Horizontal:  F = T*sin(60)

 

Vertical:       T*cos(60) = 10*g

 

Can you take it from here?

 Apr 18, 2016
 #3
avatar+6 
0

Alan can you please elaborate to solution.

HrishavJha  Apr 19, 2016
 #4
avatar+33661 
0

From the vertical component divide both sides by cos(60):  T = 10g/cos(60)

 

ut this into the horizontal component:  F = (10g/cos(60)) * sin(60) → 10g *tan(60)

 

Now tan(60) = sqrt(3)  so  F = 10*sqrt(3)*g   (g = 9.81 m/s^2)  

 

I would call this F = 98.1*sqrt(3) N.

 Apr 19, 2016

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