Home
Class 12
PHYSICS
Consider the situation of the previous ...

Consider the situation of the previous problum. (a) Find the tension in the string in equilibrium. (b) Suppose the ball is slightly pushed aside and released. Find the time period of the small oscillations.

Text Solution

Verified by Experts

(a) Tension in the string in equilibrium
`T cos 60^@ = mg `
` T = (10^-1) xx 2 = 0.20 N.`
(b) Straightening the same fig, now the
resultant force 'R' induces the accln.on the
pendulum
` T = 2 pi (sqrt(i/g))`
` = 2 pi (sqrt(10 xx (10^-2)/9.8))`
` = 0.45 sec.` .
Promotional Banner

Topper's Solved these Questions

  • GAUSS LAW

    HC VERMA|Exercise Objective 2|8 Videos

  • ELECTROMAGNETIC WAVES

    HC VERMA|Exercise Exercises|9 Videos

  • GEOMETRICAL OPTICS

    HC VERMA|Exercise Exercises|77 Videos

Similar Questions

Explore conceptually related problems

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

In the following arrangements, bock is slightly displaced vertically down from its equilibrium position and released. Find time period of vertical oscillations. The pulley is light.

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

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.

Two identical small balls each of mass m are rigidly affixed at the ends of light rigid rod of length 1.5 m and the assmebly is placed symmetrically on an elevated protrusion of width l as shown in the figure. The rod-ball assmebly is titled by a small angle theta in the vertical plane as shown in the figure and released. Estimate time-period (in seconds) of the oscillation of the rod-ball assembly assuming collisions of the rod with corners of the protrusion to be perfectly elastic and the rod does not slide on the corners. Assume theta=gl (numerically in radians), where g is the acceleration of free fall.

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 solid sphere of radius R is floating in a liquid of density sigma with half of its volume submerged. If the sphere is slightly pushed and released , it starts axecuting simple harmonic motion. Find the frequency of these oscillations.

A ball is suspended by a thread of length l at the point O on an incline wall as shown. The inclination of the wall with the vertical is α.The thread is displaced through a small angle β away from the vertical and the ball is released. Find the period of oscillation of pendulum. Consider both cases a. alpha gt beta b. alpha lt beta Assuming that any impact between the wall and the ball is elastic.

Two identical rods each of mass m and length L , are tigidly joined and then suspended in a vertical plane so as to oscillate freely about an axis normal to the plane of paper passing through 'S' (point of supension). Find the time period of such small oscillations

One end of V-tube containing mercury is connected to a suction pump and the other end to atmosphere. The two arms of the tube are inclined to horizental at an angle of 45^(@) each. A small pressure difference is created between two columns when the suction pump is removed. Will the column of mercury in V-tube execute simple harmonic motion? Neglect capillary and viscous forces. Find the time period of oscillation.

HC VERMA-GAUSS LAW-Exercises
  1. A charge Q is placed at the centre of a cub. Find the flux of the elec...

    Text Solution

    |

  2. A charge Q is placed at a distance alpha/2 above the centre of a horiz...

    Text Solution

    |

  3. Find the fluz f the electric field through a spherical surface of radi...

    Text Solution

    |

  4. A charge Q is placed at the centre of an inaginary hemispherical surfa...

    Text Solution

    |

  5. A spherical volume contains a uniformaly distributed charge of densit...

    Text Solution

    |

  6. The radius of a gold nucleus (Z=79) is about 7.0 xx 10^9-15) m. Assume...

    Text Solution

    |

  7. A Charge Q is distributed uniformly within the material of a hollow sp...

    Text Solution

    |

  8. A charge Q is placed at the centre of an uncharged, hollow metallic sp...

    Text Solution

    |

  9. Consider the following very rough model of a beryllium atom. The nucle...

    Text Solution

    |

  10. Find the magnitude of the electric field at a point 4 cm away from a l...

    Text Solution

    |

  11. A long cylindrical wire carries a positive charge of linear density 2....

    Text Solution

    |

  12. A long cylindrical volume contains a uniformly distributed charge of d...

    Text Solution

    |

  13. A nonconducting sheet of large surface area and thickness d contains u...

    Text Solution

    |

  14. A charged partical having a charge of -2.0 xx 10^(-6) C is placed cl...

    Text Solution

    |

  15. One end of a 10 cm long silk thread is fixed to a large vertical surfa...

    Text Solution

    |

  16. Consider the situation of the previous problum. (a) Find the tension ...

    Text Solution

    |

  17. Two large conducting plates are placed parallel to each other with a ...

    Text Solution

    |

  18. Two large conducting plates are placed parallel to each other nad they...

    Text Solution

    |

  19. Two large conducting plates X and Y. each having large surface area A...

    Text Solution

    |

  20. Three inentical metal plates with large surface areas are kept paralle...

    Text Solution

    |