Home
Class 12
PHYSICS
Two springs, each of spring constant k, ...

Two springs, each of spring constant `k`, are attached to a block of mass `m` as shown in the figure. The block can slide smoothly alongs a horizontal platform clamped to the oppsite walls of the trolley of mass `M`. If the block is displaced by `x cm` and released, the period of oscillaion is :

A

`T = 2pisqrt((Mm)/(2k))`

B

`T = 2pisqrt(((M + m))/(kmM))`

C

`T = 2pisqrt((mM)/(2k(M + m)))`

D

`T = 2pi((M + m))/(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 2, PART - II|1 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 2, PART - III|12 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 1, PART - II|37 Videos

  • SEMICONDUCTORS

    RESONANCE|Exercise Exercise 3|88 Videos

  • TEST PAPERS

    RESONANCE|Exercise FST-3|30 Videos

Similar Questions

Explore conceptually related problems

Two springs, each of spring constant k = 100N/m are attached to a block of mass 2kg as shown in figure. The block can slide smoothly along horizontal platform clamped to the opposite walls of a trolley of mass 5kg. The block is slightly displace dand then released. The period of oscillation is (in seconds). (all surfaces are smooth)

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation is

A block of mass 1 kg is placed inside a car of mass 5 kg , as shown . The block can slide smoothly along horizontal direction. If block is displaced slightly and released , then time period of osciallation is

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force.

Tow identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrum position by a distance x towards right, find the restoring force.

Two springs are in a series combination and are attached to a block of mass 'm' which is in equilibrium. The spring constants and extension in the springs are as shown in the figure. Then the force exerted by the spring on the block is :

Spring of spring constant k is attached with a block of mass m_(1) , as shown in figure. Another block of mass m_(2) is placed angainst m_(1) , and both mass masses lie on smooth incline plane. Find the compression in the spring when lthe system is in equilibrium.

A block of mass m is pushed against a spring of spring constant k fixed at one end to a wall.The block can slide on a frictionless table as shown in the figure. The natural length of the spring is L_0 and it is compressed to one fourth of natural length and the block is released.Find its velocity as a function of its distance (x) from the wall and maximum velocity of the block. The block is not attached to the spring.

A block of mass m compresses a spring iof stifffness k through a distacne l//2 as shown in the figure .If the block is not fixed to the spring the period of motion of the block is

A block is placed on a frictionless horizontal table. The mass of the block is m and springs are attached on either side with force constants K_(1) and K_(2) . If the block is displaced a little and left to oscillate, then the angular frequency of oscillation will be

RESONANCE-SIMPLE HARMONIC MOTION -Exercise- 2, PART - I
  1. A solid ball of mass m is made to fail from a height H on a pan suspen...

    Text Solution

    |

  2. Two plates of some mass are attached rigidly to the two ends of a spri...

    Text Solution

    |

  3. Two springs, each of spring constant k, are attached to a block of mas...

    Text Solution

    |

  4. The right block in figure moces at a speed V towards the left block pl...

    Text Solution

    |

  5. The bob of a simple pendulum of length L is released at time t = 0 fro...

    Text Solution

    |

  6. The period of small oscillations of a simple pendulum of length l if i...

    Text Solution

    |

  7. A simple pendulum , a physical pendulum, a torsional pendulum and a sp...

    Text Solution

    |

  8. A rod of mass M and length L is hinged at its one end and carries a pa...

    Text Solution

    |

  9. A particle moves along the X-axis according to the equation x = 10 sin...

    Text Solution

    |

  10. The amplitide of a particle due to superposition of following S.H.Ms. ...

    Text Solution

    |

  11. Two particles P and Q describe S.H.M. of same amplitude a, same freque...

    Text Solution

    |

  12. A street car moves rectilinearly from station A (here car stops) to th...

    Text Solution

    |

  13. A particle is oscillating in a stright line about a centre of force O,...

    Text Solution

    |

  14. Assuming all the surfaces to be smoth, if the time period of motion of...

    Text Solution

    |

  15. A particle of mass m is attached with three springs A,B and C of equal...

    Text Solution

    |

  16. In the figure shown mass 2m is at rest and in equilibrium. A particle ...

    Text Solution

    |

  17. For given spring mass system, if the time period of small oscillations...

    Text Solution

    |

  18. For the arrangement shown in figure, the spring is initially compresse...

    Text Solution

    |

  19. A 1kg block is eecuting simpe hrmonic motion of ampliltude 0.1 m m on ...

    Text Solution

    |

  20. The period of oscillation of a simple pendulum of length L suspended f...

    Text Solution

    |