Home
Class 11
PHYSICS
A simple pendulum of length l and having...

A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period ?

Text Solution

Verified by Experts

`T=2pisqrt(l/(sqrt(g^(2)+v^(4)//R^(2))))` Hint: Effective acceleration due to gravity will get reduced due to radial acceleration `v^(2)//R` acting in the horizontal plane.
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    NCERT GUJARATI|Exercise Additional Exercises|6 Videos

  • OSCILLATIONS

    NCERT GUJARATI|Exercise Additional Exercises|6 Videos

  • MOTION IN A STRAIGHT LINE

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISES|5 Videos

  • PHYSICAL WORLD

    NCERT GUJARATI|Exercise EXERCISES|8 Videos

Similar Questions

Explore conceptually related problems

A simple pendulum of length l and having a bob of mass M is suspended ina car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium, what will be its time period ?

Consider a conical pendulum having bob is mass m is suspended from a ceiling through a string of length L. The bob moves in a horizontal circle of radius r. Find (a) the angular speed of the bob and (b) the tension in the string.

A small ring of mass m_(1) is connected by a string of length l to a small heavy bob of mass m_(2) . The ring os free to move (slide) along a fixed smooth horizontal wire. The bob is given a small displacement from its equilibrium position at right angles to string. Find period of small oscillations.

A simple pendulum of length L is constructed form a point object of mass m suspended by a massless tring attached to a fixed pivot point. A small peg is placed a distance 2L//3 directly below the fixed pivot point. A small peg is placed a distance 2L//3 directly below the fixed pivot point so that the pendulum would wing as shown in the figure. the mass is displaced 5 degrees form the vertical and released. How does it take to return to its starting position.

A simple pendulum of length l and bob mass m is hanging in front of a large nonconducting sheet having surface charge density sigma . If suddenly a charge +q is given to the bob & it is released from the position shown in figure. Find the maximum angle through which the string is deflected from vertical . .

A uniform cylinder of length L and mass M having cross - sectional area A is suspended , with its length vertical from a fixed point by a massless spring , such that it is half submerged in a liquid of density sigma at equilibrium position . The extension x_(0) of the spring when it is in equilibrium is .

Figure shows a pulley block system in which a block A is hanging one side of pulley and an other side a small bead B of mass m is welded on pe=ulley. The moment of intertia of pulley is I and the sytem is in equilibrium position when bead is at an angle alpha from the vertical. If the system is slightly disturbed from its equlibrium position, find the time period of its oscillations.

A simple pendulum has a length L and a bob of mass m. The bob is oscillating with amplitude A. Show that the maximum tension (T) in the string is (for small angular displacement). T_("max") =mg [1+(A/L)^(2)] .

A car is moving on circular path of radius 100m such that its speed is increasing at the rate of 5m//s^(2) . At t=0 it starts from rest. What is the radial acceleration of car at the instant it makes one complete round trip ?

A uniform cylinder of length (L) and mass (M) having cross sectional area (A) is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half - submerged in a liquid of density (rho) at equilibrium position. When the cylinder is given a small downward push and released it starts oscillating vertically with small amplitude. If the force constant of the spring is (k), the prequency of oscillation of the cylindcer is.

NCERT GUJARATI-OSCILLATIONS-Exercises
  1. A particle is in linear simple harmonic motion between two points, A a...

    Text Solution

    |

  2. A particle is in linear simple harmonic motion between two points, A a...

    Text Solution

    |

  3. Which of the following relationships between the acceleration a and th...

    Text Solution

    |

  4. The motion of a particle executing simple harmonic motion is described...

    Text Solution

    |

  5. A spring balance has a scale that reads from 0 to 50 kg. The length of...

    Text Solution

    |

  6. A spring having with a spring constant 1200 N m^(-1) is mounted on a h...

    Text Solution

    |

  7. In Exercise 14.9, let us take the position of mass when the spring is ...

    Text Solution

    |

  8. Figures 14.25 correspond to two circular motions. The radius of the ci...

    Text Solution

    |

  9. Plot the corresponding reference circle for each of the following simp...

    Text Solution

    |

  10. Figure 14.26 (a) shows a spring of force constant k clamped rigidly at...

    Text Solution

    |

  11. Figure 14.26 (a) shows a spring of force constant k clamped rigidly at...

    Text Solution

    |

  12. The piston in the cylinder head of a locomotive has a stroke (twice th...

    Text Solution

    |

  13. The acceleration due to gravity on the surface of moon is 1.7 m s^(-2)...

    Text Solution

    |

  14. Answer the following question : Time period of a particle in SHM dep...

    Text Solution

    |

  15. Answer the following question : The motion of a simple pendulum is a...

    Text Solution

    |

  16. Answer the following question : A man with a wristwatch on his hand ...

    Text Solution

    |

  17. Answer the following question : What is the frequency of oscillation...

    Text Solution

    |

  18. A simple pendulum of length l and having a bob of mass M is suspended ...

    Text Solution

    |

  19. A cylindrical piece of cork of density of base area A and height h flo...

    Text Solution

    |

  20. One end of a U-tube containing mercury is connected to a suction pump ...

    Text Solution

    |