A pendulum made of a uniform wire of cross-sectional area A𝐴 has time period T.𝑇. When an additional mass M𝑀 is added to its bob, the time period changes TM.𝑇𝑀. If Young's modulus of the material of the wire is Y,𝑌, then 1Y1𝑌 is equal to (g=𝑔=gravitational acceleration

a) The period of a simple pendulum is T = 2𝜋L/g where L is the length of the pendulum and g is the acceleration due to gravity at the pendulum's location. Thus, if a pendulum has a period of T = 1.9 s on Earth where gEarth = 9.8 m/s2, its length isLEarth  =  gEarthT24𝜋2    =  m/s2 s 2 4𝜋2    =  m = cm

The bob of a pendulum is replaced by another bob of double its mass. Find the new time period. If initial time period is T

A scientist measures the time period of a simple pendulum as T in a lift at rest. If the lift moves up with a acceleration as one fourth of the acceleration of gravity, the new time period is

A grandfather clock uses a physical pendulum to keep time. The pendulum consists of a uniform thin rod of mass M = 1.61 kg and length L = 0.153 m that is pivoted freely about one end, with a solid disk of mass 3M and a radius of L4𝐿4 attached to the free end of the rod.  Determine the length L that gives a period of T = 2.45 s.

A simple pendulum has a length l and the mass of the bob is m. The bob is given a charge q coulomb. The pendulum is suspended between the vertical plates of a charged parallel plate capacitor. If E is the electric field strength between the plates, the time period of the pendulum is given by