A thin rod of mass $m$ and length $l$ is oscillating about horizontal axis through its one  end. Its maximum angular speed is $\omega$. Its centre of mass will rise upto maximum  height :-

  • A

    $\frac{1}{6} \frac{l \omega}{g}$

  • B

    $\frac{1}{2} \frac{l^2 \omega^2}{g}$

  • C

    $\frac{1}{6} \frac{l^2 \omega^2}{g}$

  • D

    $\frac{1}{3} \frac{l^2 \omega^2}{g}$

Similar Questions

A solid cylinder of mass $20 \;kg$ rotates about its axis with angular speed $100\; rad s ^{-1}$ The radius of the cylinder is $0.25 \;m$. What is the kinetic energy associated with the rotation of the cylinder? What is the magnitude of angular momentum of the cylinder about its axis?

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities $\omega_1$ and $\omega_2$ They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is 

  • [NEET 2017]

A solid square plate is spun around different axes with the same angular speed. In which of the following choice of axis of rotation will the kinetic energy of the plate be the largest?

  • [KVPY 2009]

A solid sphere rolls without slipping and presses a spring of spring constant $k$ as shown in figure. Then, the maximum compression in the spring will be

A rod of length $l$ is hinged from one end. It is brought to a horizontal position and released. The angular velocity of the rod when it is in the vertical position is