If the mass of A=10 kg , coefficient of static friction =0.22, coefficient of kinetic friction =0.2, then minimum mass of B to start motion is

Question

If the mass of A=10 kg , coefficient of static friction =0.22, coefficient of kinetic friction =0.2, then minimum mass of B to start motion is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-frgbo94dj3m0.png" /> (A) 2kg (B) 2.2 kg (C) 4.8kg (D) 3.4kg

Tardigrade Admin · Accepted Answer

Let the minimum mass of B is MB. Force applied by it F=MB g Friction force on block A f=μ MA g For motion to start MB g=μ MA g MB=0.22× 10 =2.2 kg

Q. If the mass of $A = 10 k g$ , coefficient of static friction $= 0.22,$ coefficient of kinetic friction $= 0.2,$ then minimum mass of $B$ to start motion is

$2 k g$

$2.2 k g$

$4.8 k g$

$3.4 k g$

Let the minimum mass of B is $M_{B} .$
Force applied by it $F = M_{B} g$
Friction force on block $A$
$f = μ M_{A} g$
For motion to start
$M_{B} g = μ M_{A} g$
$M_{B} = 0.22 \times 10$
$= 2.2 k g$

Q. If the mass of A=10kg , coefficient of static friction =0.22, coefficient of kinetic friction =0.2, then minimum mass of B to start motion is

2kg

2.2kg

4.8kg

3.4kg