Download App
A block of mass $m$ lying on a rough horizontal plane is acted upon by a horizontal force $P$ and another force $Q$ inclined an at an angle $\theta $ to the vertical. The minimum value of coefficient of friction between the block and the surface for which the block will remain in equilibrium is
  • A$\frac{{P\, + \,Q\,\sin \,\theta }}{{mg\, + \,Q\,\cos \,\theta }}$
  • B$\frac{{P\,\cos \,\theta \, + \,Q\,}}{{mg\, - \,Q\,\sin \,\theta }}$
  • C$\frac{{P\, + \,Q\,\cos \,\theta }}{{mg\, + \,Q\,\sin \,\theta }}$
  • D$\frac{{P\,sin\,\theta \, - \,Q\,}}{{mg\, - \,Q\,\cos \,\theta }}$
Medium
art

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.*
Download App

Similar Questions

  • 1
    The maximum tension which an inextensible ring of mass $0.1\, kg/m$ can bear is $10\,N$. The maximum velocity in $m/s$ with which it can be rotated is ........ $m/s.$
    View Solution
  • 2
    What is the maximum value of the force $F$ such that the block shown in the arrangement, does not move ........ $N$
    View Solution
  • 3
    Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is $v_0$, then the ratio of tensions in the three sections of the string is
    View Solution
  • 4
    A box is placed on an inclined plane and has to be pushed down. The angle of inclination is
    View Solution
  • 5
    Find the maximum velocity for skidding for a car moved on a circular track of radius $100\, m$. The coefficient of friction between the road and tyre is $0.2$ ....... $m/s$
    View Solution
  • 6
    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 $(s)$
    View Solution
  • 7
    A cart moves with a constant speed along $a$ horizontal circular path. From the cart, $a$ particle is thrown up vertically with respect to the cart
    View Solution
  • 8
    A block of mass $M = 5\,kg$ is resting on a rough horizontal surface for which the coefficient of friction is $0.2$. When a force $F = 40\,\,N$ is applied, the acceleration of the block will be  ........ $m/\sec^2$ $(g = 10\,\,m/{\sec^2})$
    View Solution
  • 9
    A car is moving on a horizontal circular track of radius $0.2 \,km$ with a constant speed. If coefficient of friction between tyres of car and road is $0.45$, then speed of car may be ........ $m / s$ [Take $g=10 \,m / s ^2$ ]
    View Solution
  • 10
    A rectangular block has a square base measuring $a \times a$ and its height is $h$. It moves on a  horizontal surface in a direction perpendicular to one of the edges.  The coefficient of  friction is $\mu$. It will topple if
    View Solution