(A) For the cube to tip about an edge,the torque due to the applied force $F$ about the edge must be greater than or equal to the torque due to the we

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(A) For the cube to tip about an edge,the torque due to the applied force $F$ about the edge must be greater than or equal to the torque due to the weight $Mg$ about the same edge.Taking torque about the edge of the base:$F \times \frac{3b}{4} = Mg \times \frac{b}{2}$$F = \frac{2}{3} Mg$For the cube not to slip,the applied force $F$ must be less than the maximum static friction force $f_{max} = \mu Mg$.So,$F Substituting the value of $F$ from the tipping condition:$\frac{2}{3} Mg $\mu > \frac{2}{3}$Thus,the coefficient of friction must be greater than $2/3$ for the cube to tip before it slips.

Class 11 Physics Newton's Laws of Motion and Friction Mix Examples-Newton's Laws of Motion and Friction

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$A$ uniform cube of side $b$ and mass $M$ rests on a rough horizontal table. $A$ horizontal force $F$ is applied normal to one of the faces at a point at a height $3b/4$ above the base. What should be the coefficient of friction $\mu$ between the cube and the table so that it will tip about an edge before it starts slipping?

A
$\mu > \frac{2}{3}$
B
$\mu > \frac{1}{3}$
C
$\mu > \frac{3}{2}$
D
None of these

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Class 11

Physics Questions

Chapter

Newton's Laws of Motion and Friction

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Mix Examples-Newton's Laws of Motion and Friction

Consider the following statements $A$ and $B$ and identify the correct answer:
$A$. When a person walks on a rough surface,the direction of the frictional force exerted by the surface on the person is in the same direction as his motion.
$B$. When a cycle is in motion,the force of friction exerted by the ground on the front wheel is in the backward direction.

MediumTS EAMCET 2004

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$A$ $\sqrt{34}\,m$ long ladder weighing $10\,kg$ leans on a frictionless wall. Its feet rest on the floor $3\,m$ away from the wall as shown in the figure. If $F_{f}$ and $F_{w}$ are the reaction forces of the floor and the wall,then the ratio of $F_{w}/F_{f}$ will be:
(Use $g=10\,m/s^{2}$)

DifficultJEE MAIN 2022

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$A$ bullet of mass $0.1\, kg$ is fired into a wooden block to pierce through it,but it stops after moving a distance of $50\, cm$ into it. If the velocity of the bullet before hitting the wood is $10\, m/s$ and it slows down with uniform deceleration,then the magnitude of the effective retarding force on the bullet is $'x'\, N$. The value of $'x'$ to the nearest integer is:

MediumJEE MAIN 2021

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On a stationary sail-boat,air is blown at the sails from a fan attached to the boat. The boat will

Easy

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$A$ truck starting from rest moves with an acceleration of $5\,m/s^2$ for $1\,sec$ and then moves with constant velocity. The velocity w.r.t. ground v/s time graph for the block in the truck is (Assume that the block does not fall off the truck and the coefficient of friction $\mu = 0.2$):

Difficult

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$A$ $\sqrt{34}\,m$ long ladder weighing $10\,kg$ leans on a frictionless wall. Its feet rest on the floor $3\,m$ away from the wall as shown in the figure. If $F_{f}$ and $F_{w}$ are the reaction forces of the floor and the wall,then the ratio of $F_{w}/F_{f}$ will be:(Use $g=10\,m/s^{2}$)

On a stationary sail-boat,air is blown at the sails from a fan attached to the boat. The boat will

$A$ truck starting from rest moves with an acceleration of $5\,m/s^2$ for $1\,sec$ and then moves with constant velocity. The velocity w.r.t. ground v/s time graph for the block in the truck is (Assume that the block does not fall off the truck and the coefficient of friction $\mu = 0.2$):

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$A$ $\sqrt{34}\,m$ long ladder weighing $10\,kg$ leans on a frictionless wall. Its feet rest on the floor $3\,m$ away from the wall as shown in the figure. If $F_{f}$ and $F_{w}$ are the reaction forces of the floor and the wall,then the ratio of $F_{w}/F_{f}$ will be:
(Use $g=10\,m/s^{2}$)