The acceleration of the 10, kg block when F = | vedclass

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(A) Given: Mass of upper block $m_1 = 10\, kg$,mass of lower block $m_2 = 5\, kg$,coefficient of friction between blocks $\mu_1 = 0.1$,coefficient of

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(A) Given: Mass of upper block $m_1 = 10\, kg$,mass of lower block $m_2 = 5\, kg$,coefficient of friction between blocks $\mu_1 = 0.1$,coefficient of friction between lower block and ground $\mu_2 = 0.3$,and applied force $F = 30\, N$.First,calculate the maximum static friction force between the two blocks: $f_{max1} = \mu_1 m_1 g = 0.1 	imes 10 	imes 10 = 10\, N$.Next,calculate the maximum static friction force between the lower block and the ground: $f_{max2} = \mu_2 (m_1 + m_2) g = 0.3 	imes (10 + 5) 	imes 10 = 0.3 	imes 150 = 45\, N$.Since the applied force $F = 30\, N$ is less than the force required to move the entire system $(f_{max2} = 45\, N)$,the lower block will not move.Now,check if the upper block moves relative to the lower block: The applied force $F = 30\, N$ is greater than the maximum friction $f_{max1} = 10\, N$ between the blocks.Therefore,the upper block will slide over the lower block. The net force on the $10\, kg$ block is $F_{net} = F - f_{max1} = 30 - 10 = 20\, N$.The acceleration of the $10\, kg$ block is $a = \frac{F_{net}}{m_1} = \frac{20}{10} = 2\, m/s^2$.

The acceleration of the $10\, kg$ block when $F = 30\, N$ is applied as shown in the figure is ........ $m/s^2$.

Similar Questions

The acceleration of block $A$ varies with time as shown in the figure. Find the value of the coefficient of kinetic friction between block $A$ and block $B$.

If the acceleration of block $A$ is $2 \, m/s^2$,which is provided by the frictional force from block $B$,then the magnitude of the frictional force applied by block $B$ on block $A$ is ......... $N$.

When $F = 2\,N$,the frictional force between the $10\,kg$ block and the $5\,kg$ block is $..........\,N$. (Given: $\mu_s = 0.1$ between blocks,$\mu_s = 0.3$ between $5\,kg$ block and ground).

Imagine a situation in which the horizontal surface of block $M_0$ is smooth and its vertical surface is rough with a coefficient of friction $\mu$. Identify the correct statement$(s)$.

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