a) 51 kg

b) 26 kg

c) 46 kg

d) 32 kg

Tension in the rope T

$T=Mg$

N normal reaction between man and ground

$N=60 g-T \sin 60$

$f=\mu N=T \cos 60 ^{\circ}$

$N=600-10 M \large\frac{\sqrt 3}{2}$

$f=\large\frac{1}{2}$$\bigg[600-10 M \large\frac{\sqrt 3}{2} \bigg]$$=M \times 10 \times \large\frac{1}{2}$

Solving we get $M=32.15 kg$

Hence d is the correct answer

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