Home
Class 12
PHYSICS
A thin rod of length 0.75 m and mass 0.4...

A thin rod of length 0.75 m and mass 0.42 kg is suspended freely from one end. It is pulled to one side and then allowed to swing like a pendulum, passing through its lowest position with angular speed 3.5 rad/s. Neglecting friction and air resistance, find (a) the rod's kinetic energy at its lowest position and (b) how far above that position the center of mass rises.

Text Solution

Verified by Experts

(a) 0.48 J, (b) `~~0.12m`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS - I

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (SINGLE CORRECT CHOICE TYPE)|43 Videos
  • RIGID BODY DYNAMICS - I

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (MORE THAN ONE CORRECT CHOICE TYPE)|7 Videos
  • RIGID BODY DYNAMICS - I

    RESNICK AND HALLIDAY|Exercise CHECKPOINT|18 Videos
  • RELATIVITY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|5 Videos
  • RIGID BODY DYNAMICS-II

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|2 Videos

Similar Questions

Explore conceptually related problems

A thin rod of mass m and length l is suspended from one of its ends. It is set into oscillation about a horizontal axis. Its angular speed is omega while passing through its mean position. How high will its centre of mass rise from its lowest position ?

A rod of mass M and length l is suspended freely from its endandit canoscillate in the vertical plane about the point of suspension. It is pulled to one side and then released. It passes through the equilibrium position withangular speed omega . What is the kinetic energy while passing through the mean position ?

A uniform rod of length 1m and mass 0.5 kg rotates at angular speed of 6 rad//sec about one of its ends. What is the KE (in joule) of the rod ?

A uniform rod of mas m and length l is kept vertical with the lower end clamed. It is slightly pushed to let it fall down under gravity. Find its angular speed when the rod is passing through its lowest positon. Neglect any friction at the clamp. What will be the linear speed of the free end at this instant?

A rod of length 2 m, has a mass of 0.12 kg. Its moment of inertia about an axis passing through its one end and perpendicular to the length of the rod is

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

A uniform thin rod of length l and mass m is hinged at a distance l//4 from one of the end and released from horizontal position as shown in Fig. The angular velocity of the rod as it passes the vertical position is

The density of a thin rod of length l varies with the distance x from one end as rho=rho_0(x^2)/(l^2) . Find the position of centre of mass of rod.

A thin uniform copper rod of length l and mass m rotates uniformly with an angular velocity omega in a horizontal plane about a vertical axis passing through one of its ends. Determine the tension in the rod as a function of the distance r from the rotation axis. Find the elongation of the rod.

RESNICK AND HALLIDAY-RIGID BODY DYNAMICS - I-PROBLEMS
  1. (a) If R = 15 cm, M = 350 g, and m = 50 g in Fig. 10-19, find the spee...

    Text Solution

    |

  2. A uniform metal pole of height 30.0 m and mass 100 kg is initially sta...

    Text Solution

    |

  3. A thin rod of length 0.75 m and mass 0.42 kg is suspended freely from ...

    Text Solution

    |

  4. A metre stick is held vertically with one end on the floor and is then...

    Text Solution

    |

  5. A uniform cylinder of radius 12 cm and mass 25 kg is mounted so as to ...

    Text Solution

    |

  6. A tall, cylindrical chimney falls over when its base is ruptured. Trea...

    Text Solution

    |

  7. A uniform spherical shell of mass M = 4.5 kg and radius R = 8.5 cm can...

    Text Solution

    |

  8. Figure shows a rigid assembly of a thin hoop (of mass m and radius R =...

    Text Solution

    |

  9. In unit vector notation, find the net torque about the origin on a par...

    Text Solution

    |

  10. In unit vector notation, find the torque about a point at coordinates ...

    Text Solution

    |

  11. In unit vector notation, what is the torque about the origin on a part...

    Text Solution

    |

  12. A particle moves through an xyz coordinate system while a force acts o...

    Text Solution

    |

  13. Force vecF=(2.0N)hati-(3.0N)hatk acts on a pebble with position vector...

    Text Solution

    |

  14. A force vecF=(6.00hati-4.00hatj)N acts on a particle with position vec...

    Text Solution

    |

  15. At the instant of Figure, a 2.0 kg particle P has a position vector ve...

    Text Solution

    |

  16. A particle of mass m is shot from ground level at initial speed u and ...

    Text Solution

    |

  17. A 3.0 kg particle-like object moves in a plane with velocity component...

    Text Solution

    |

  18. Two particles each of mass m and speed v, travel in opposite direction...

    Text Solution

    |

  19. At the instant the displacement of a 1.50 kg object relative to the or...

    Text Solution

    |

  20. In Fig. 10-72, a 0.400 kg ball is shot directly upward at initial spee...

    Text Solution

    |