A pendulum is displaced to an angle `theta` from its equilibrium position, then it will pass through its mean position with a velocity v equal to

A pendulum bob of mass m is displaced through an angle theta from its equilibrium position and then released. What will be the tension in the string when the bob crosses the equilibrium position?

The velocity of a particle performing simple harmonic motion, when it passes through its mean position i

The velocity of a particle performing simple harmonic motion, when it passes through its mean position i

A small circular coil with a mass of m consists of N turns of fine wire and carries a current of I. The coil is located in a uniform magnetic field of B with the coil axis orginally parallel to the field direction. a. What is the period of small angle oscilations of the coil axis around its equilibrium position, assuming no friction and no mechanical force? b. If the coil is rotated through an angle of theta from its equilibrium position and then released, what will be its angular speed when it passes through equilibrium position?

A small circular coil with a mass of m consists of N turns of fine wire and carries a current of I. The coil is located in a uniform magnetic field of B with the coil axis orginally parallel to the field direction. a. What is the period of small angle oscilations of the coil axis around its equilibrium position, assuming no friction and no mechanical force? b. If the coil is rotated through an angle of theta from its equilibrium position and then released, what will be its angular speed when it passes through equilibrium position?

Show that a simple pendulum bob which has been pulled aside from its equilibrium position through an angle theta and the released will pass through an equilibrium position with speed v=sqrt(2gl(1-cos theta)) , where/is the length of the pendulum.