A block of mass M is placed on a horizontal s | vedclass

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

Question

(A) For the block $m$ to remain stationary,the tension $T$ in the string must be equal to the weight of the block $m$,so $T = mg$.For the block $M$ (w

Vedclass · Accepted Answer

$\frac{m}{\mu} - M$

Vedclass · Answer

(A) For the block $m$ to remain stationary,the tension $T$ in the string must be equal to the weight of the block $m$,so $T = mg$.For the block $M$ (with $m_0$ on top) to remain stationary,the tension $T$ must be balanced by the maximum static friction force $f_{max}$ acting between block $M$ and the horizontal surface.The normal force $N$ acting on the surface is $N = (M + m_0)g$.The maximum static friction force is $f_{max} = \mu N = \mu(M + m_0)g$.For equilibrium,$T = f_{max}$,which implies $mg = \mu(M + m_0)g$.Dividing both sides by $g$,we get $m = \mu(M + m_0)$.Rearranging for $m_0$,we have $\frac{m}{\mu} = M + m_0$,which gives $m_0 = \frac{m}{\mu} - M$.

Similar Questions

If the coefficient of friction is $\sqrt{3}$,what is the angle of friction between the two surfaces in contact (in $^{\circ}$)?

$A$ block of mass $2\,kg$ is at rest on a floor. The coefficient of static friction between the block and the floor is $0.54$. $A$ horizontal force of $2.8\,N$ is applied to the block. What will be the frictional force between the block and the floor (in $.8$)? $(g = 10\,m/s^2)$

$A$ force of $19.6\, N$ when applied parallel to the surface just moves a body of mass $10\, kg$ kept on a horizontal surface. If a $5\, kg$ mass is kept on the first mass,the force applied parallel to the surface to just move the combined body is........ $N.$

$A$ force $\vec{F}=\hat{i}+4 \hat{j} \, N$ acts on the block of mass $1 \, kg$ shown in the figure. The coefficient of friction between the block and the surface is $\mu = 0.3$. The force of friction acting on the block is (Take $g = 10 \, m/s^2$)

$A$ block of mass $m$ rests on a horizontal table with a coefficient of static friction $\mu$. What minimum force must be applied on the block to drag it on the table?

Vedclass Test Series

Exam Paper Generator

Online Exam Module