Impending state of motion is a critical border line between static and dynamic states of a body. A block of mass m is supported on a rough vertical wall by applying a force F as shown in figure. Coefficient of static friction between block and wall is µ S . The block under the influence of F sin θ may tend to move upward or it may be assumed that F sin θ just prevents downward fall of the block. Read the above passage carefully and answer the following questions.
(i) The minimum value of force F required to keep the block stationary is:
Text Solution
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(i) F sin θ + f = mg
and F cos θ = N
for minimum; f = μ N = μ F cos θ
∴ F min. = 
(ii) As f = 0 ∴ F sin θ = mg
F = 
(iii)
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