Published by:
CGP EDU Academic Team
Published on: September 12, 2026
What is the minimum value of force (in following two cases) required to pull a block of mass m on a horizontal surface having coefficient of friction µ? Also find the angle this force makes with the horizontal.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
μ mg
, tan –1 μ .
Sol.
N = mg – F sin θ
F cos θ = μ N = μ [mg – F sin θ ]
F = 
F is minimum when cos θ + μ sin θ is max
⇒ 
(cos θ + μ sin θ ) = 0
⇒ – sin θ + μ cos θ = 0
⇒ μ = tan θ
or θ = tan –1 μ
also, cos θ + μ sin θ
= 
for θ = tan -1 μ
thus F min = 
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