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Question

A man of mass 63 kg is pulling a mass M by an inextensible light rope passing through a smooth and massless pulley as shown in figure. The coefficient of friction between the man and the ground is μ=3/5. Find the maximum value of M that can be pulled by the man without slipping on the ground,
1166342_d166d293931d490a869ff4b1684ae829.PNG

A
63 kg
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B
7 kg
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C
35 kg
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D
70 kg
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Solution

The correct option is C 35 kg
Solution
REF.Image.
FBD will be as
At max value of F,
Fcos(53)=μN
3F5=35N
F=N
N+Fsin(53)=mg
F+F(45)=mg
F=59mg=(59)(63)g=35g
At min values of M such that it
does not get pulled away,
F=Mg
35g=Mg
M=35kg
35kg is the minimum required of the
mass M such that it can not pulled or in
other words the maximum mass at which it
gets pulled away without man slipping

1145611_1166342_ans_6ebfb2e3424341498bf4b7adae219139.jpg

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