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Question

The figure shows a man standing stationary with respect to a horizontal conveyor belt. If the coefficient of static friction between the man's shoes and the belt is 0.2, upto what acceleration of the belt can the man continue to be stationary relative to the belt? Mass of the man =65 kg. (g=10 m/s2)


Your Answer
A
10 m/s2
Your Answer
B
5 m/s2
Your Answer
C
4 m/s2
Correct Answer
D
2 m/s2

Solution

The correct option is D 2 m/s2
Given coefficient of friction, μ=0.2
Limiting friction, fL=μmg
If the man remains stationary with respect to the maximum acceleration a0 (say) of the belt, then
ma0=fL=μmg
a0=μg=0.2×10 m/s2=2 m/s2

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