Home
Class 12
PHYSICS
Pull down in the middle a heavy chain, f...

Pull down in the middle a heavy chain, fixed at both ends, in such a way that it forms a triangle. Does the centre of mass takes up a higher or lower position?

A

Centre of mass comes down

B

Centre of mass goes up

C

Centre of mass remains stationary

D

Cannot be predicted

Text Solution

Verified by Experts

The correct Answer is:
B
Ans.(2)
system always want to maintain the states of lowest PE. So, disturbing the system will result in increase of PE
So, potential enery of the system increases, hence centre of mas goes up.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two wires are together end to end . The wires are made of the same material , but the diameter of one is twice that of the other . They are subjected to a tension of 4.60 N . The thin wire has a length of 40.0 cm and a linear mass density of 2.00 g//m . The combination is fixed at both ends and vibrated in such a way that two antinodes are present , with the node between them being precisely at the weld . (a) What is the frequency of vibration ? (b) Find the length of the thick wire .

A light rod of length l is pivoted at the upper end. Two masses (each m), are attached to the rod, one at the middle and the other at the free end. What horizontal velocity must be imparted to the lower end mass, so that the rod may just take up the horizontal position ?

Estimation of frequency of a wave forming a standing wave represented by y = A sin kx cos t can be done if the speed and wavelength are known using speed = "Frequency" xx "wavelength" . Speed of motion depends on the medium properties namely tension in string and mass per unit length of string . A string may vibrate with different frequencies . The corresponding wavelength should be related to the length of the string by a whole number for a string fixed at both ends . Answer the following questions: Speed of a wave in a string forming a stationary wave does not depend on

A solid ball of mass m and radius R is released from the position shown in a large hollow shell of same mass m and radius 3R as shown in figure. The displacement of the centre of mass of the system from its initial position when the solid ball ball touches the lower surface of the hollow shell is : (centres of both the spheres coincide intially) :

A body of mass m is attached ot one end of a massless spring which is suspended vertically form a fixed point. The mass is held in hand, so that the spring is neither stretched nor compressed. The lowest position attained by the mass during oscillation is 4 cm below the point, where it was held in hand. (a) What is the amplitude of oscillation? (b) Find the frequency of oscillation?

Three identical spheres of mass M each are placed at the corners of an equilateral triangle of side 2 m. Taking one of the corners as the origin, the position vector of the centre of mass is

A stationary light, smooth pulley can rotate without friction about a fixed horizontal axis. A light rope passes over the pulley. One end of the rope supports a ladder with man and the other end supports a counterweight of mass M . Mass of the man is m . initially, the centre of mass of the counterweight is at a height h from that of man as shown in Fig. If the man starts to climb up the ladder slowly, calculate work done by him to reach his centre of mass in level with that of the counterweight.

A particle of mass 5kg is free to slide on a smooth ring of radius r=20cm fixed in a vertical plane. The particle is attached to one end of a spring whose other end is fixed to the top point O of the ring. Initially, the particle is at rest at a point A of the ring such that /_OCA=60^@ , C being the centre of the ring. The natural length of the spring is also equal to r=20cm . After the particle is released and slides down the ring, the contact force between the particle and the ring becomes zero when it reaches the lowest position B. Determine the force constant (i n xx 10^2Nm^-1) of the spring.

A metre scale of mass 100 gm is suspended freely at its end. It is pulled aside and swung about a horizontal axis with an angular velocity 5 rad/s. Calculate the height to which the centre of mass of the scale rises above its lowest position, assuming that there is no friction and air resistance. (given : length of meter scale used = 1m )

Estimation of frequency of a wave forming a standing wave represented by y = A sin kx cos t can be done if the speed and wavelength are known using speed = "Frequency" xx "wavelength" . Speed of motion depends on the medium properties namely tension in string and mass per unit length of string . A string may vibrate with different frequencies . The corresponding wavelength should be related to the length of the string by a whole number for a string fixed at both ends . Answer the following questions: A string fixed at both ends having a third overtone frequency of 200 Hz while carrying a wave at a speed of 30 ms^(-1) has a length of

ALLEN-TEST PAPER-Exercise (Physics)
  1. Mass centers of a system of three particles of masses 1,2,3kg is at th...

    Text Solution

    |

  2. A machinist starts with three identical square plates but cuts one cor...

    Text Solution

    |

  3. Pull down in the middle a heavy chain, fixed at both ends, in such a w...

    Text Solution

    |

  4. Particles of masses m, 2m, 3m, …….., nm are placed on the same line at...

    Text Solution

    |

  5. To form a jeep, two squares of side length 10cm & 20cm and two circles...

    Text Solution

    |

  6. Three rods of the same mass are placed as shown in the figure. Calcula...

    Text Solution

    |

  7. A uniform wire frame ABC is in the shape of an equilateral triangle in...

    Text Solution

    |

  8. The figure below depicts the paths of two colliding steel balls, A and...

    Text Solution

    |

  9. A uniform chain of mass m and length l hanges on a thread and touches ...

    Text Solution

    |

  10. Two forces F(1) and F(2) are applied simultaneously on a 2kg block res...

    Text Solution

    |

  11. A 6.0kg mass is moving to the right at 10 m//s. A 0.25kg mass is fired...

    Text Solution

    |

  12. Two identical balls moving in opposite directions in free space collid...

    Text Solution

    |

  13. In figure, determine the character of the collision. The masses of the...

    Text Solution

    |

  14. A rod has non uniform mass distribution. The mass increases uniformly ...

    Text Solution

    |

  15. A solid hemisphere and a hemisphereical shell are joined as shown. Bot...

    Text Solution

    |

  16. In a system of four thin uniform rods are each of mass inas shown. If ...

    Text Solution

    |

  17. A vertical rectangular door with its centre of gravity at O (see figur...

    Text Solution

    |

  18. A rectangular metal plate ABCD is supported by two hinges P(1) and P(2...

    Text Solution

    |

  19. A uniform beam of weight W is attached to a verical wall by a hings H....

    Text Solution

    |

  20. A body is free to rotate about an axis parallel to y-axis. A force of ...

    Text Solution

    |