Home
Class 11
PHYSICS
A small block of mass 100 g moves wth un...

A small block of mass 100 g moves wth uniform speed n a horizontal circular groove, with vertical side walls, of radisu 25 cm.If the block takes 2.0 s to complete ne round, find the normal contact force by tehside wall of the groove.

Text Solution

Verified by Experts

The speed of the block is
`v=(2pixx(25cm))/(2.0s)=0.785 m/s`
The accelerationof the block is
`a=v^2/r=((0.785m/s)^2)/(0.25m)=2.5m/s^2
towards the centre. The only force in this directionis the norma contact force due toteh side walls. Thus, from Newton's second law, this force is
`N=ma=(0.100kg)(2.5m/s^2)=0.25N`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    HC VERMA|Exercise worked out Examples|13 Videos

  • CIRCULAR MOTION

    HC VERMA|Exercise Question for short Answer|10 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM, COLLISION

    HC VERMA|Exercise Exercises|64 Videos

  • FLUID MECHANICS

    HC VERMA|Exercise All Questions|96 Videos

Similar Questions

Explore conceptually related problems

A car moving at a speed of 36 km/hr is taking a turn on a circular road of radius 50 m. A small wooden plate is kept on the seat with its plane perpendicular to the radius of the circular road figure. A small bock of mass 100 g is kept on the seat which rests against the plate. The friction coefficient between the block and the plate is mu=0.58. a. Find the normal contact force exerted by the plate on the block. b. The plate is slowly turned so that the angle between the normal to the plate and the radius of the road slowly increases Find the angle at which the block will just start sliding on the plate.

A block is mass m moves on as horizontal circle against the wall of a cylindrical room of radius R. The floor of the room on which the block moves is smooth but the friction coefficient between the wall and the block is mu . The block is given an initial speed v_0 . As a function of the speed v write a. the normal force by the wall on the block. b. the frictional force by the wall and c. the tangential acceleration of the block. d. Integrate the tangential acceleration ((dv)/(dt)=v(dv)/(ds)) to obtain the speed of the block after one revoluton.

A block of mass 100g is moved with a speed of 5.0 m/s at the highest point in a closed circular tube of radius 10 cm kept in a vertical plane. The cross section of the tube is such that the block just fits in it. The block makes several oscillations inside the tube and finally stops at the lowest point. find the work done by the tube on the block during the process

A small block of mass 100 g is pressed against a horizontal spring fixed at one end to compress the spring through 5.0 cm. The spring constant is 100 N/m. When released, the block moves horizontally till it leaves the spring. Where will it hit the ground 2 m below the spring?

A uniform ladder of mass 10 kg leans against a smooth vertical wall making an angle of 53^0 with it. The other end rests on a rough horizontal floor. Find the normal force and the frictional force that the floor exerts on the ladder

A smooth block loosely fits in a circular tube placed on a horizontal surface. The block moves in as uniform circular motion along the tube figure. Which wall (inner or outer) will exert a nonzero normal contact force on the block? .

A block of mass 2 kg is pushed against a rough vertical wall with a force is 40 N. Coefficient of static friction being 0.5. Another horizontal force is 15 N, is applied on the block in a direction parallel to the wall. Will the block move? If yes in which direction? If no, find the frictional force exerted by the wall on the block.

The body of mass 400 g slides on a rough horizontal surface. If the frictional force is 3.0 N, find the angle made by the contact force on the body with the vertical. Take g=10 m/s^2

A bullet of mass 20 g travelling horizontally with a speed of 500 m/s passes through a wooden block of mass 10.0 kg initially at rest on a level surface. The bulet emerges with speed of 100 m/s and the block slides 20 cm on the surface before coming to rest. Find the friction cioefficient between the block and the surface figure.

A block of mas 2.0 kg is pulled up on a smooth incline of angle 30^0 with the horizontal. If the block moves wth an acceleration of 1.0 m/s^2 , find the power delivered by the pulling force at a time 4.0 s after the motion starts. What is the average power delivered during the 4.0 s after the motion starts?

HC VERMA-CIRCULAR MOTION-Exercises
  1. A small block of mass 100 g moves wth uniform speed n a horizontal cir...

    Text Solution

    |

  2. Find the accelerationof the moon with respect to the eath from the fol...

    Text Solution

    |

  3. Find the acceleration of a particle placed on the surface of the earth...

    Text Solution

    |

  4. A particle moves in circle of radius 1.0 cm at a speed given by v=2.0...

    Text Solution

    |

  5. A scooter weighing 150 g together with its rider moving at 36 km/hr is...

    Text Solution

    |

  6. A scooter weighing 150 kg together with its rider moving at 36 km/hr i...

    Text Solution

    |

  7. A park has a radis of 10 m. If a vehicle goes round it at an averge sp...

    Text Solution

    |

  8. If the road of the previous problem is horizontal (no banking), what s...

    Text Solution

    |

  9. A circular road of radius 50 m has the angel of banking equal to 30^0....

    Text Solution

    |

  10. In the Bohr model of hydrogen atom, the electron is treated as a parti...

    Text Solution

    |

  11. A stone is fastened to one end of a string and is whirled in a verticl...

    Text Solution

    |

  12. A ceiling fan has a diameter (of the circle through the outer edges of...

    Text Solution

    |

  13. As mosquito is sitting on an L.P. record disc rotating on a trun tabel...

    Text Solution

    |

  14. A simple pendulum is suspended from the ceiling of a car taking a turn...

    Text Solution

    |

  15. The bob of a simple pendulum of length 1 m has mass 100g and a speed o...

    Text Solution

    |

  16. Suppose the bob of the previous problem has a speed of 1.4 m/s when th...

    Text Solution

    |

  17. Suppose the amplitude of a simple pendulum having a bob of mass m is t...

    Text Solution

    |

  18. A person stands on a spring balance at the equator. a) By what fractio...

    Text Solution

    |

  19. What is the stopping distance for a vehicle of mass m moving with spee...

    Text Solution

    |

  20. A motorcycle has to move with a consatnt speed on an overbridge which ...

    Text Solution

    |

  21. A car starts rest, on a horizontal circular road of radius R, the tang...

    Text Solution

    |