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The force required just to move a body up an inclined plane is doubled the force requires just to prevent the body sliding down. If the coefficient of friction is 0.25,the angle of inclination of the plane is

The force required just to move a body up an inclined plane is doubled the force requires just to prevent the body sliding down. If the coefficient of friction is 0.25,the angle of inclination of the plane is

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Grade:12

1 Answers

Arun
25750 Points
5 years ago
 

force required to prevent the body from sliding

F=mgsinθ-µmgcosθ

force required to just move the body up

5108-1858_7662_untitled2.JPG

F1=mgsinθ+µmgcosθ

it is given

F1=2f

mgsinθ+µmgcosθ=2(mgsinθ-µmgcosθ)

0r 3µmgcosθ=mgsinθ

tanθ=3µ

 

Hence tanθ = 3 *0.25 = 0.75 = 3/4

 

Hence

 

θ  = tan^-1 (3/4)

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