Home
Class 12
PHYSICS
In the figure shown the time period and ...

In the figure shown the time period and the amplitude respectively, when `m` is left from rest when spring is relaxed are (the inclined plane is smooth)

A

`2pisqrt((m)/(k))`.`(mgsintheta)/(k)`

B

`2pisqrt((msintheta)/(k))`.`(2msintheta)/(k)`

C

`2pisqrt((m)/(k))`.`(mgcostheta)/(k)`

D

None of the these

Text Solution

Verified by Experts

The correct Answer is:
A

Mean position occurs when net force on block =0 `Rightarrow mgsintheta=kxRightarrow x=(mgsintheta)/(k)`
Amplitude = Distance between mean position and extreme position = `x-0=(mgsintheta)/(k)`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise LEVEL (2)|40 Videos
  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise 6-previous year question|56 Videos
  • SIMPLE HARMONIC MOTION

    VMC MODULES ENGLISH|Exercise LEVEL 0 LONG ANSWER TYPE|2 Videos
  • ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive) (True/False Type)|3 Videos
  • SYSTEM OF A PARTICLES & ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE F|10 Videos

Similar Questions

Explore conceptually related problems

Two blocks A and B are shown in figure have masses 5 kg and 4kg respectively. The system is released from rest. The speed of B after A has travelled the distance 1 m along the incline is (take g= 10m/s^2 ,pulleys and strings are ideal and plane is smooth)

A mass is suspended separately by two different springs in successive order then time period is t_1 and t_2 respectively. If it is connected by both spring as shown in figure then time period is t_0 , the correct relation is : -

A mass M is attached to a horizontal spring of force constant k fixed one side to a rigid support as shown in figure. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass M is in equilibrium position, another mass m is gently placed on it. When will be the new amplitude of ocillation?

A block of mass m connected with a smooth prismatic wedge of mass M is released from rest when the spring is relaxed. Find the angular frequency of oscillation.

A block of mass m is attached to a cart of mass 4m through spring of spring constant k as shown in the figure. Friction is absent everywhere. The time period of oscillations of the system, when spring is compressed and then released, is

Blocks A and B shown in the figure are having equal masses m. The system is released from rest with the spring unstretched. The string between A and ground is cut, when there is maximum extension in the spring. The acceleration of centre of mass of the two blocks at this instant is

When body slides down from rest along smooth inclined plane making angle of 45^(@) with the horizontal, it takes time T When the same body slides down from rest along a rough inclined plane making the same angle and through the same distance it is seen to take time pT , where p is some number greater that 1. Calculate late the coefficient of friction beween the body and the rough plane. .

When body slides down from rest along smooth inclined plane making angle of 45^(@) with the horizontal, it takes time T When the same body slides down from rest along a rough inclined plane making the same angle and through the same distance it is seen to take time pT , where p is some number greater that 1. Calculate late the coefficient of friction beween the body and the rough plane. .

Three blocks A, B and C of masses 5 kg, 5 kg and 10 kg respectively are connected with two light strings, one of them is passing over an ideal pulley The system is released from rest on smooth inclined plane of inclination 30" as shown in figure. The value of tension T_1 /T_2 is

Find the time period of mass M when displaced from its equilibrium position and then released for the system shown in figure.

VMC MODULES ENGLISH-SIMPLE HARMONIC MOTION -LEVEL (1)
  1. A spring of force constant k is cut into two pieces such that one piec...

    Text Solution

    |

  2. A spring of spring constant k is cut into n equal parts, out of which ...

    Text Solution

    |

  3. In the figure shown the time period and the amplitude respectively, wh...

    Text Solution

    |

  4. Find the time period of oscillation of block of mass m. Spring, and pu...

    Text Solution

    |

  5. A pendulum has a period T for small oscillations. An obstacle is place...

    Text Solution

    |

  6. The time period of a simple pendulum of length L as measured in an ele...

    Text Solution

    |

  7. A pendulum suspended from the ceiling of the train has a time period o...

    Text Solution

    |

  8. A simple pendulum has time period T = 2s in air. If the whole arrangem...

    Text Solution

    |

  9. The bob of a simple pendulum is displaced from its equilibrium positio...

    Text Solution

    |

  10. Cylindrical piece of cork of density of base area A and height h float...

    Text Solution

    |

  11. An ice-cube of edge is 10 cm floating in water. Time period of small v...

    Text Solution

    |

  12. A small ball of density rho(0) is released from the surface of a liqui...

    Text Solution

    |

  13. A point mass m is supended at the end of a massless wire of length Lan...

    Text Solution

    |

  14. A cylindrical piston of mass M slides smoothly inside a long cylinder ...

    Text Solution

    |

  15. Assume that as narrow tunnel is dug between two diametrically opposite...

    Text Solution

    |

  16. Time period of a simple pendulum of length L is T(1) and time period o...

    Text Solution

    |

  17. Find time period of uniform disc of mass m and radius r suspended thro...

    Text Solution

    |

  18. A solid sphere of mass m is attached to a light spring of force consta...

    Text Solution

    |

  19. A uniform rod of mass m and length l is suspended through a light wire...

    Text Solution

    |

  20. Which of the following is not simple harmonic function ?

    Text Solution

    |