If force F is increasing with time and at t = 0 , F = 0 where will slipping first start?

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4-2.Friction

normal

If force $F$ is increasing with time and at $t = 0 , F = 0$ where will slipping first start?

between $3 kg$ and $2 kg$

between $2 kg$ and $1 kg$

between $1 kg$ and ground

both $(a)$ and $(b)$

Solution

Minimum force required for slipping to occur between $3 \mathrm{kg}$ and

$2 \mathrm{kg}=\mu N_{1}=0.5 \times$ $30=15 N$

Minimum force required for slipping to occur between $2 \mathrm{kg}$ and

$1 \mathrm{kg}=\mu N_{1}=0.3 \times$ $(30+20)=15 N$

Minimum force required for slipping to occur between $1 \mathrm{kg}$ and ground

$=\mu N_{1}=0.1 \times$ $(30+20+10)=6 N$

Thus slipping takes place first at the surface for which minimum force required is least. Thus slipping starts between $1 \mathrm{kg}$ block and ground.

Standard 11

Physics

Shown in the diagram is a system of two bodies, a block of mass $m$ and a disc of mass $4\ m$ , held in equilibrium. If the string $3$ is burnt, find the acceleration of the disc. Neglect the masses of the pulleys $P$ and $Q$ . The co-efficient of friction between the block and horizontal surface is $0.5$ and friction between disc and string is zero …….. $m/s^2$

hard

In the shown arrangement mass of $A = 1\,\,kg$ mass of $B = 2\,\,kg.$ Coefficient of friction between $A $ and $B = 0.2.$ There is no friction between $B$ and ground. The frictional force exerted by $A$ on $B$ equals to

medium

If force $F$ is increasing with time and at $t=0, F=0$ where will slipping first start?

normal

A block $A$ of mass $100\, kg$ rests on another block $B$ of mass $200\, kg$ and is tied to a wall as shown in the figure. The coefficient of friction between $A$ and $B$ is $0.2$ and that between $B$ and the ground is $0.3$. The minimum force $F$ required to move the block $B$ is…….. $N$ . $(g = 10\, m/s^2)$