In arrangement shown in figure, mass of block B and A is 2,m and m respectively. Surface between B a

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4-2.Friction

hard

In the arrangement shown in the figure, mass of the block $B$ and $A$ is $2\,m$ and $m$ respectively. Surface between $B$ and floor is smooth. The block $B$ is connected to the block $C$ by means of a string pulley system. If the whole system is released, then find the minimum value of mass of block $C$ so that block $A$ remains stationary w.r.t. $B$. Coefficient of friction between $A$ and $B$ is $\mu$.

A$\frac{m}{\mu}$

B$\frac{2 m+1}{\mu+1}$

C$\frac{3 m}{\mu-1}$

D$\frac{6 m}{\mu+1}$

Solution

If $A$ and $B$ are moving without slipping
$m_c g-T=m_c a…….(i)$
$T =3 ma………(ii)$
w.r.t. $B$
$N=m a$
$m_c g=\mu m a$
$a=g / a$
$m_c g-\frac{3 m g}{u}=m_c g / \mu$
$m_c=\frac{3 m}{\mu-1}$

Standard 11

Physics

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

A block of mass $m$ is in contact with the cart $C$ as shown in the figure. The coefficient of static friction between the block and the cart is $\mu .$ The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies

medium

(AIPMT-2010)

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

normal

Two bodies $A$ and $B$ of masses $5 kg$ and $10 kg$ in contact with each other rest on a table against a rigid wall. The coefficient of friction between the bodies and the table is $0.15$. A force of 200 $N$ is applied hortzontally to $A$. What are $(a)$ the reaction of the partition $(b)$ the action-reaction forces between $A$ and $B ?$ What happens when the wall is removed? Does the answer to $(b)$ change, when the bodies are in motion? Ignore the difference between $\mu_{ s }$ and $\mu_{ k }$

hard

…….. $N$ the maximum force for which both the block will move with same acceleration.

medium

Solution

Similar Questions

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 …….. $N$

A block of mass $m$ is in contact with the cart $C$ as shown in the figure. The coefficient of static friction between the block and the cart is $\mu .$ The acceleration $\alpha$ of the cart that will prevent the block from falling satisfies

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

…….. $N$ the maximum force for which both the block will move with same acceleration.

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