Two blocks $A$ and $B$ of masses $6\, kg$ and $3\, kg$ rest on a smooth horizontal surface as shown in the figure. If coefficient of friction between $A$ and $B$ is $0.4$, the maximum horizontal force which can make them without separation is ........ $N$
Medium
Download our app for free and get started
Frictional force on block $B$
$=\mu \mathrm{m}_{\mathrm{B}} \mathrm{g}=0.4 \times 3 \times 10=12 \mathrm{N}$
Hence, acceleration $=\frac{12}{3}=4 \mathrm{ms}^{-2}$
Hence, maximum force
$F=\left(\mathrm{m}_{\mathrm{A}}+\mathrm{m}_{\mathrm{B}}\right) \mathrm{a}=(6+3) \times 4=36 \mathrm{N}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A circular road of radius $1000 \,m$ has banking angle ${45^o}$. The maximum safe speed of a car having mass $2000 \,kg$ will be, if the coefficient of friction between tyre and road is $0.5$ ....... $m/s$View Solution
- 2Shown 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 ........ $m/s^2$View Solution
- 3At time $t=0$, a disk of radius $1 m$ starts to roll without slipping on a horizontal plane with an angular acceleration of $\alpha=\frac{2}{3} rad s ^{-2}$. A small stone is stuck to the disk. At $t=0$, it is at the contact point of the disk and the plane. Later, at time $t=\sqrt{\pi} s$, the stone detaches itself and flies off tangentially from the disk. The maximum height (in $m$ ) reached by the stone measured from the plane is $\frac{1}{2}+\frac{x}{10}$. The value of $x$ is. . . . . . .[Take $g=10 m s ^{-2}$.]View Solution
- 4A wooden block of mass $M$ resting on a rough horizontal surface is pulled with a force $F$ at an angle $\phi $ with the horizontal. If $\mu $ is the coefficient of kinetic friction between the block and the surface, then acceleration of the block isView Solution
- 5A body is sliding down an inclined plane (angle of inclination $45^o$). If the coefficient of friction is $0.5$ and $g = 9.8\, m/s^2$. then the acceleration of the body downwards in $m/s^2$ isView Solution
- 6Figure shows two block system, $4 \,kg$ block rests on a smooth horizontal surface, upper surface of $4 \,kg$ is rough. A block of mass $2 \,kg$ is placed on its upper surface. The acceleration of upper block with respect to earth when $4 \,kg$ mass is pulled by a force of $30 \,N$, is ......... $m / s ^2$View Solution
- 7A block slides down on an inclined surface of inclination $30^o$ with the horizontal. Starting from rest it covers $8\, meter$ in the first two seconds. The coefficient of friction is $(g = 10\, ms^{-2})$View Solution
- 8$A$ block of mass $M$ is placed on $a$ horizontal surface and it is tied with an inextensible string to $a$ block of mass, as shown in figure. A block of mass $m_0$ is also placed on $M$ If there is no friction between any two surfaces, thenView Solution
- 9The maximum $"F"$ which will not cause motion of any of the blocks. ...... $N$View Solution
- 10A marble block of mass $2\, kg$ lying on ice when given a velocity of $6\, m/s$ is stopped by friction in $10s$. Then the coefficient of friction is-View Solution