For a conical pendulum,time period is given by (r is radius of circular path,`theta` is the angle made by the string with vertical)?

Fig. show a conical pendulum. If the length of the pendulum is l , mass of die bob is m and theta is the angle made by the string with the vertical show that the angular momentum of the pendulum about the point of support is: L = sqrt((m^(2)gl^(3) sin^(4)theta)/(cos theta))

A smalll bob attached to a string of length l is suspended from a rigid support and rotates with uniform speed along a circle in a horizontal plane. Let theta be the angle made by the string with the vertical, then the length of a simple pendulum having the same period is

A car is moving with constant speed of 10m/s on a horizontal circular path of radius 10sqrt(3m) . A bob of mass m suspended through a light string from the roof of the car. What is the angle made by the string with the vertical if the bob is stationary with respect to the car? (g = 10 m/ s^(2) )

A pendulum is hanging from the ceiling of a car having an acceleration a_0 with respect to the road. Find the angle made by the string with the vertical.

A simple pendulum having a bob of mass m under goes small oscillations with amplitude theta_0 Find the tension in the string as a function of the angle made by the string with the vertical. When in this tension maximum, and when is it minimum?

A pendulum is hanging from the ceiling of a car having an acceleration a_(0) with respect to the road. Find the angle made by the string with vertical at equilibrium. Also find the tension in the sting in this position

A simple pendulum is suspended from the ceiling of a car taking a turn of radius 10 m at a speed of 36 km/h. Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turn. Take g=10 m/s^2 .

A charge particle is moving in a uniform magnetic field ib a circular path. The energy of the particle is doubled . If the initial radius of he circular path was R , the radius of the new circular path after the energy is doubled will be

What is a conical pendulum ? Derive an expression for its time period ?

In a conical pendulum arrangement, a string of length 1 m is fixed at one end with a bob of mass 100 g and the string makes 2 π r v s − 1 around a vertical axis through a fixed point. The angle of inclination of the string with vertical is: (Take g = 10 m s − 1 )