Two blocks A and B of masses m_A = 1,kg and m | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) For block $A$ not to slide over $B$,the maximum acceleration $a$ of the system is limited by the friction between $A$ and $B$.The maximum friction

Vedclass · Accepted Answer

$16$

Vedclass · Answer

(B) For block $A$ not to slide over $B$,the maximum acceleration $a$ of the system is limited by the friction between $A$ and $B$.The maximum frictional force on $A$ is $f_{max} = \mu_1 m_A g = 0.2 	imes 1 	imes 10 = 2\,N$.This friction provides the maximum acceleration to block $A$: $a_{max} = \frac{f_{max}}{m_A} = \frac{2}{1} = 2\,m/s^2$.Now,consider the whole system $(A+B)$ moving with acceleration $a_{max}$. The external force $F$ must overcome the friction between $B$ and the table surface $(f_{table})$ and provide the required acceleration to both blocks.The friction between $B$ and the table is $f_{table} = \mu_2 (m_A + m_B) g = 0.2 	imes (1 + 3) 	imes 10 = 0.2 	imes 4 	imes 10 = 8\,N$.Applying Newton's second law to the system $(A+B)$: $F - f_{table} = (m_A + m_B) a_{max}$.$F - 8 = (1 + 3) 	imes 2$.$F - 8 = 4 	imes 2 = 8$.$F = 8 + 8 = 16\,N$.

Similar Questions

The coefficient of static friction between two blocks is $0.5$ and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is $\ldots \ldots N$. (take $g=10 \, m/s^2$)

The value of $\theta$ is increased gradually from $\theta = 0$. At $\theta = \tan^{-1}(1/2)$,both blocks just start slipping. Then the value of $\mu_2$ is: $(g = 10 \ m/s^2)$

Two blocks $A$ and $B$ of masses $4 \ kg$ and $6 \ kg$ are as shown in the figure. $A$ horizontal force of $12 \ N$ is required to make $A$ slip over $B$. Find the maximum horizontal force $F_B$ that can be applied on $B$ so that both $A$ and $B$ move together. (Take $g=10 \ m \ s^{-2}$) (in $N$)

$A$ body $B$ lies on a smooth horizontal table and another body $A$ is placed on $B$. The coefficient of friction between $A$ and $B$ is $\mu$. What acceleration given to $B$ will cause slipping to occur between $A$ and $B$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module