Home
Class 12
PHYSICS
A heavy ball of mass m is tied to a weig...

A heavy ball of mass m is tied to a weightless thread of length 1. The friction of the ball against air is proportional to its velocity relative to the air: `F_(lr) = muv`. A strong horizontal wind is blowing at a constant velocity v. Determine the period T of small oscillations, assuming that the oscillations of the ball attenuate in a time much longer than the period of oscillations.

Promotional Banner

Topper's Solved these Questions

  • ELECTROSTATICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise All Questions|42 Videos
  • OPTICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Exercise|2 Videos

Similar Questions

Explore conceptually related problems

Two blocks having mass m and 2m and connected by a spring of rigidity k lie on a horizontal plane. Determine the period T of small longitudinal oscillations of the ystem, neglecting friction.

A small ball of mass m suspended from the ceiling at a point O by a thread of length l moves along a horizontal circle with a constant angular velocity omega . Relative to which points does the angular momentum M of the ball remain constant? Find the magnitude of the increment of the vector of the ball's angular momentum relative to the point O picked up during half a revolution.

A body of mass m is situated in a potential field U(x) = V_(0)(1-cos ax) when U_(0) and alpha are constants. Find the time period of small oscillations.

A load of mass M is on horizontal rails. A pendulum made of a ball of mass m tied to a weightless inextensible thread is suspended to the load. The load can move only along the rails. Determine the ratio of the periods T_(2)//T_(1) of small oscillations of the pendulum in vertical planes parallel and perpendicular to the rails.

A ball is tied by a weightless inextensible thread to a fixed cylinder of radius r. At the initial moment the thread is wound so that the ball touches the cylinder. Then the ball acquires a velocity v in the raidal direction, and the thread starts unwinding (Fig). Determine the length l of the upwound segment of the thread by the instant of time t, neglecting the force of gravity.

A ball of mass m kept at the centre of a string of length L is pulled from centre in perpendicular direction and released. Prove that motion of ball is simple harmonic and determine time period of oscillation

A solid rubber ball orf density d and radius R falls vertically through air. Assume that the air resistance acting on the ball is F=KRV where K is constant and V is its velocity. Because of this air resistance the ball attains a constant velocity called terminal velocity v_(T) after some time. Then V_(T)

IE IRODOV, LA SENA & SS KROTOV-MECHANICS-Mechanics Problems
  1. Two heavy balls are simultaneously shot from two spring toy-guns arran...

    Text Solution

    |

  2. A light spring of length l and rigidity k is placed vertically on a ta...

    Text Solution

    |

  3. A heavy ball of mass m is tied to a weightless thread of length 1. The...

    Text Solution

    |

  4. A rubber string of mass m and rigidity k is suspended at one end. Dete...

    Text Solution

    |

  5. For the system at rest shown in Fig., determine the accelerations of a...

    Text Solution

    |

  6. A person hoists one of two loads of equal mass at a constant velocity ...

    Text Solution

    |

  7. A block can slide along an inclined plane in various directions (Fig. ...

    Text Solution

    |

  8. A block is pushed upwards along the roof forming an angle a with the h...

    Text Solution

    |

  9. Two balls are placed as shown in Fig. on a "weightless" support formed...

    Text Solution

    |

  10. A cylinder of mass m and radius r rests on two supports of the same he...

    Text Solution

    |

  11. cylinder and a wedge with a vertical face, touching each other, move a...

    Text Solution

    |

  12. A weightless rod of length l with a small load of mass m at the end is...

    Text Solution

    |

  13. A homogeneous rod AB of mass m and length l leans with its lower end a...

    Text Solution

    |

  14. Two rigidly connected homogeneous rods of the same length and mass m(1...

    Text Solution

    |

  15. A ball moving at a velocity v = 10 m//s hits the foot of a football pl...

    Text Solution

    |

  16. A body of mass m freely falls to the ground. A heavy bullet of mass M ...

    Text Solution

    |

  17. Two bodies of mass m(1) = 1kg and m(2) = 2kg move towards each other i...

    Text Solution

    |

  18. Two identical wedges of mass M are smoothly conjugated . The wedges ar...

    Text Solution

    |

  19. A wedge of mass m1 with its upper surface hemispherical in shape, as s...

    Text Solution

    |

  20. A round box of inner diameter D containing a washer of radius r lies o...

    Text Solution

    |