A block weighs $W$ is held against a vertical wall by applying a horizontal force $F$. The minimum value of $F$ needed to hold the block is
Medium
Download our app for free and get started
(c) Here applied horizontal force $F$ acts as normal reaction.
For holding the blockForce of friction = Weight of block
$f = W$ $⇒$ $\mu \,R = W$ $⇒$ $\mu \,F = W$
$⇒$ $F = \frac{W}{\mu }$ As $\mu < 1$
$\therefore \;\;\;F > W$
Download our app
and get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
In figure, two blocks $M$ and $m$ are tied together with an inextensible and light string. The mass $M$ is placed on a rough horizontal surface with coefficient of friction $\mu$ and the mass $m$ is hanging vertically against a smooth vertical wall. The pulley is frictionless. When the downward acceleration of the elevator becomes equal to $g$, then
A road is banked at an angle of $30^o$ to the horizontal for negotiating a curve of radius $10\sqrt 3 m$. At what velocity will a car experience no friction while negotiating the curve? ............... $km/hr$
A steel block of $10\, {kg}$ rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the block and cylinders go down with an acceleration $0.2\, {m} / {s}^{2}$. The normal reaction ${R}$ by the floor if mass of the iron cylinders are equal and of $20\, {kg}$ each, is .....$N.$ [Take ${g}=10\, {m} / {s}^{2}$ and $\mu_{{s}}=0.2$ ]
A particle of mass $m$ is at rest at the origin at time $t = 0$. It is subjected to a force $F(t) = F_0e^{-bt}$ in the $x$ -direction. Its speed $v(t)$ is depicted by which of the following curves ?
A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force $2\,N$ down the inclined plane. The maximum external force up the inclined plane that does not move the block is $10\,N.$ The coefficient of static friction between the block and the plane is : [Take $g = 10\,m/s^2$ ]
A car is moving with a constant speed of $20\,m / s$ in a circular horizontal track of radius $40\,m$. A bob is suspended from the roof of the car by a massless string. The angle made by the string with the vertical will be : (Take $g =10$ $\left.m / s ^2\right)$
A girl holds a book of mass $m$ against a vertical wall with a horizontal force $F$ using her finger, so that the book does not move. The frictional force on the book by the wall is
A block of mass $M$ rests on a rough horizontal table. A steadily increasing horizontal force is applied such that the block starts to slide on the table without toppling. The force is continued even after sliding has started. Assume the coefficients of static and kinetic friction between the table and the block to be equal. The correct representation of the variation of the frictional force $f$, exerted by the table on the block with time $t$ is given by
$A$ block of mass $M$ is placed on $a$ horizontal surface and it is tied with an inextensible string to $a$ block of mass, as shown in figure. A block of mass $m_0$ is also placed on $M$ If $\mu < \mu_{min}$ (the minimum friction required to keep the block $m$ stationary), then the downward acceleration of $m$ is
A railway line is taken round a circular arc of radius $1000\ m$, and is banked by raising the outer rail $h\ m$ above the inner rail. If the lateral force on the inner rail when a train travels round the curve at $10 \ ms^{-1}$ is equal to the lateral force on the outer rail when the train's speed is $20\ ms^{-1}$. The value of $4g\ tan\theta$ is equal to : (The distance between the rails is $1.5 \ m$).