Home
Class 11
PHYSICS
A 50 -kg plank of length 6 m rests on th...

A 50 -kg plank of length 6 m rests on the ground at one end on a frictionless roller on the top of a wall of height h=3 m at the other end. The plank projects a little beyond the wall. It remains in equilibrium for any value `theta ge 70^(@)` , where `theta` is the angle made by the plank with the horizontal. Find the cofficient of friction between the plank and the ground.
[Hints : Apply the equilibrium conditon that `sumvectau=0 "and "sumvecf=0`.]

Text Solution

Verified by Experts

The correct Answer is:
0.33
Promotional Banner

Topper's Solved these Questions

  • MOMENT, TORQUE, EQUILIBRIUM OF BODIES

    NN GHOSH|Exercise Exercises|33 Videos

  • LAWS OF MOTION, FREE BODY DIAGRAM

    NN GHOSH|Exercise Exercise (B)|34 Videos

  • ROTATIONAL DYNAMICS, MOMENT OF INERTIA

    NN GHOSH|Exercise Exercises|42 Videos

Similar Questions

Explore conceptually related problems

A ladder is resting with one end is contact with the top of a wall of height 60 m and the other end on the ground is at a distance of 11 m form the wall. The length of the ladder is :

A box of mass 4 kg is placed on a wooden plank of length 1.5 m which is lying on the ground. The plank is lifted from one end along its length so that it becomes inclined. It is noted that when the vertical height of the top end of the plank from the ground becomes 0.5 m, the box begins to slide. Find the coefficient of friction between the box and the plank.

A plank with a box on it at one end is gradully raised about the other end. As the angle of inclination with the horizntal reaches 30^(@) , the box starts to slip and slide 4.0m down the plank in 4.0s . The coefficients of static and knitic friction between the box and the plank will be, respectively.

A plank of mass M is placed on a rough horizontal force F is applied on it A man of mass m rens on the plank find the acceleration of the man so that the plank does not move on the surface . The coefficent of friction between the plank and the surface is mu Assume that the man does not slip on the plank

A small block of mass m is placed at a distance r from one end of a plank. The plank is given a constant angular velocity omega about an axis passing through point O and perpendicular to the plane. The block starts sliding down the plane when the plank makes an angle theta with horizontal. Calculate the coefficient of friction between the particle and the plank.

A plank of length 4 m is inclined to the ground such that its one end is resting on the ground and the other end is 1 m above ground level. Calculate the effort that has to be applied to push a load of 48 N up the plank.

A man of mass M stands at one end of a plank of length L Which lies at rest on a frictionless surface . The man walks to the other end of the plank. If the mass of the plank is 3M, the distance that the man moves relative to the ground is

A man of mass M stands at one end of a stationary plank of length L, lying on a smooth surface. The man walks to the other end of the plank. If the mass of the plank is M//3 , the distance that the man moves relative to the ground is

NN GHOSH-MOMENT, TORQUE, EQUILIBRIUM OF BODIES-Exercises
  1. A flexible chain of weight W hangs between two fixed points A and B at...

    Text Solution

    |

  2. A thin horizontal bar AB of negligible mass and length l is hinged to ...

    Text Solution

    |

  3. A 50 -kg plank of length 6 m rests on the ground at one end on a frict...

    Text Solution

    |

  4. The step-ladder shown in figure 6.11 is 8 m long and hinged at C.BD i...

    Text Solution

    |

  5. Two particles P and Q are initially at rest and 1 m aparts. P has a ma...

    Text Solution

    |

  6. A table has a heavy circular top of radius 1 m and mass 20 kg . It ha...

    Text Solution

    |

  7. A pulley fixed to the ceiling carries a thread with bodies of masses ...

    Text Solution

    |

  8. A man weighting 60 kgis standing at the centre of a flat boat and he i...

    Text Solution

    |

  9. A block of mass M with a semicircualr of radius R, rests on a horizont...

    Text Solution

    |

  10. In the system shown in Figure 6.13 P and Q are in equilibrium . If P i...

    Text Solution

    |

  11. A cone of height h and semivertical angle alpha is just held in equili...

    Text Solution

    |

  12. What is the mechanical advantage of an inclined plane as a machine whe...

    Text Solution

    |

  13. The fulcrum of a lever of length 1 m is at its middle point. If the fu...

    Text Solution

    |

  14. In a wheel and axle machine the radii of the wheel and axle are 0.5 m ...

    Text Solution

    |

  15. A jack of pitch 4 mm is worked by a handle of length 50cm .There is fr...

    Text Solution

    |

  16. A pulley arrangement is shown in figure 6.14 .A has a diameter of 30 c...

    Text Solution

    |

  17. Show that a nonhomogeneous cylinder on a horizontal plane has a positi...

    Text Solution

    |

  18. A dump-bell consists of two weights W(1) and W(2)(W(2) gt W(1)) and is...

    Text Solution

    |

  19. A hemispherical cup of radius r with its centre of gravity at C distan...

    Text Solution

    |

  20. A cube of uniform density and edge a is balanced on a cylindrical surf...

    Text Solution

    |