Which of the following is correct, when a person walks on a rough surface
IIT 1981, Easy
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- 1A block of mass $m$ is on an inclined plane of angle $\theta$. The coefficient of friction between the block and the plane is $\mu$ and $\tan \theta>\mu$. The block is held stationary by applying a force $\mathrm{P}$ parallel to the plane. The direction of force pointing up the plane is taken to be positive. As $\mathrm{P}$ is varied from $\mathrm{P}_1=$ $m g(\sin \theta-\mu \cos \theta)$ to $P_2=m g(\sin \theta+\mu \cos \theta)$, the frictional force $f$ versus $P$ graph will look likeView Solution
- 2In the figure, a ladder of mass $m$ is shown leaning against a wall. It is in static equilibrium making an angle $\theta$ with the horizontal floor. The coefficient of friction between the wall and the ladder is $\mu_1$ and that between the floor and the ladder is $\mu_2$. The normal reaction of the wall on the ladder is $N_1$ and that of the floor is $N_2$. If the ladder is about to slip, thenView Solution
$Image$
$(A)$ $\mu_1=0 \mu_2 \neq 0$ and $N _2 \tan \theta=\frac{ mg }{2}$
$(B)$ $\mu_1 \neq 0 \mu_2=0$ and $N_1 \tan \theta=\frac{m g}{2}$
$(C)$ $\mu_1 \neq 0 \mu_2 \neq 0$ and $N _2 \tan \theta=\frac{ mg }{1+\mu_1 \mu_2}$
$(D)$ $\mu_1=0 \mu_2 \neq 0$ and $N _1 \tan \theta=\frac{ mg }{2}$
- 3A block slides down on an inclined surface of inclination $30^o$ with the horizontal. Starting from rest it covers $8\, meter$ in the first two seconds. The coefficient of friction is $(g = 10\, ms^{-2})$View Solution
- 4View SolutionThe maximum static frictional force is
- 5The coefficient of static friction, ${\mu _s},$ between block $A$ of mass $2\, kg$ and the table as shown in the figure is $0.2$. ........ $kg$ would be the maximum mass value of block $B$ so that the two blocks do not move. The string and the pulley are assumed to be smooth and massless. $(g = 10\,m/{s^2})$View Solution
- 6Two blocks $( m =0.5\, kg$ and $M =4.5\, kg$ ) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is $\frac{3}{7} .$ Then the maximum horizontal force that can be applied on the larger block so that the blocks move together is ......... $N.$ (Round off to the Nearest Integer) [Take g as $9.8\, ms ^{-2}$ ]View Solution
- 7A block rests on a rough inclined plane making an angle of ${30^o}$ with the horizontal. The coefficient of static friction between the block and the plane is $0.8$. If the frictional force on the block is $10 \,N$, the mass of the block (in kg) is (take $g = 10\,\,m/{s^2})$View Solution
- 8A uniform chain of $6\, m$ length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is $0.5$, the maximum length of the chain hanging from the table is.......$m.$View Solution
- 9In the shown arrangement if $f_A\,,\, f_B$ and $T$ be the frictional forces on $A$ Block, $B$ Block and tension in the string respectively, then their values areView Solution
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