FrictionMedium
Question
The block shown in figure remains at rest undisturbed. A man wishes to start the block by the rope. Given the ramp angle α and the coefficient of static friction μs,
Options
A.the value of the angle β that minimizes the force T is given by β = tan-1 μs
B.the value of the angle β that minimizes the force T is given by β = cot-1 μs
C.the minimum value of T in terms of α, μs, m and g is given by T = mg 
D.the minimum value of T in terms of α, μs, m and g is given by T = mg 
Solution
T cosβ + mg sin α = μs (mg cos α + T sin β)
T =
for T to be minimum
(cos β - μ sin β) = 0[tan β = μs]
β = tan-1(μs)
Tmin = mg
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