KinematicsHard

Question

A smooth block is released at rest on a 45o incline and then slides a distance d. The time take to slide is n times as much to slide on rough incline friction is

Options

A.μk =
B.μk =
C.μs =
D.

Solution


d = (g sin μ¸)t1,

d = (g sin μ¸ - μg cos μ¸)t2
t1 =
t2
According to qustion, t2 = nt1
n =
n = µ cos 45o = sin 45o =
               
d = (g sin θ)t1,

d = (g sin θ - μg cos θ)t2
t1 =

According to qustion, t2 = nt1
n =
n = ∵ cos 45o = sin 45o =
n2 =   or 1 - μk =

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