The time taken by a body to slide down a rough 45 degrees inclined plane is twice that required to slide down a smooth 45 degrees inclined plane.the coefficent of friction between the object and rough plane is given by : a. 1/3 b. 3/4 c. root 3/4 d. root 4/3 rply pls...

rohan bhatia Grade: 11

        The time taken by a body to slide down a rough 45 degrees inclined plane is twice that required to slide down a smooth 45 degrees inclined plane.the coefficent of friction between the object and rough plane is given by :

a. 1/3

b. 3/4

c. root 3/4

d. root 4/3

rply pls...

8 years ago

Answers : (3)

Badiuddin askIITians.ismu Expert

147 Points

										hi rohan bhatia
 

 

 
accelarion along the downward direction of wedge
 a1=(mgsin45-μmgcos45)/m
    =(1-μ)g/√2
let total time taken is t
s=0*t +.5(a1)t^2
 when wedge is frictionles
then acceleration
a2=g/√2
s=0*t/2 +.5(a2)*(t/2)^2
equate both value of s
μ=3/4



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Badiuddin

8 years ago

manoj jangra

8 Points

										hey ans is 3/4
when you compare
let x be length of the wedge
X = 1/2 gsinθ t²           for smooth plane
X = 1/2 (gsinθ-μcosθ)4t^{2    foe rough plane}
you will get ams 3/4

8 years ago

rohan bhatia

18 Points

thank u very much sir for solving my problems.

q. a block of mass m is resting on a wedge of angle θ with what minimum acceleration a should the wedge move so that the mass m falls freely ?

8 years ago

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