A boy of mass 4 kg is standing on a piece of wood having mass 5 kg. If the coefficient of friction between the wood and the floor is 0.5, the maximum force that the boy can exert on the rope so that the piece of wood does not move from its place is . N.(Round off to the Nearest Integer) [Take g=10 ms -2 ]

Question

A boy of mass 4 kg is standing on a piece of wood having mass 5 kg. If the coefficient of friction between the wood and the floor is 0.5, the maximum force that the boy can exert on the rope so that the piece of wood does not move from its place is . N.(Round off to the Nearest Integer) [Take g=10 ms -2 ] <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/c9f2306c1bb8c670d8bd799e2ecaa4a2-.png" /> (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/e9d6f6095b5de723d608a54c6f3c4f81-.png" /> N + T =90 T =μ N =0.5(90- T ) 1.5 T =45 T =30

N+T=90 T=μN=0.5(90−T) 1.5T=45 T=30

$N + T = 90$
$T = μ N = 0.5 (90 - T)$
$1.5 T = 45$
$T = 30$