A pendulum with a mass of 0.100kg was released. The string made a 7.0 degree ang

Question

A pendulum with a mass of 0.100kg was released. The string made a 7.0 degree angle with the verticle. The bob of the pendulum returns to its lowest point every 0.10 s.
a)What is its period? What is its frequency?




b) The pendulum is replaced by one with a mass of 0.300kg and set to swing with a 15 degree angle. Do the following quantities increase, decrease, or remain the same?

period:
frequency:
total energy:
speed at the lowest point:


I DO NOT UNDERSTAND PHYSICS AT ALL!! I AM STUCK FROM THE BEGINNING TO END OF THIS PROBLEM

Explanation / Answer

The bob of the pendulum returns to its lowest point every 0.10 s.
a) timeperiod of oscillation           T = 2 t               = 2 * 0.1               = 0.2 s b) frequency            f = 1/ T               = 1 / 0.2               = 5Hz The pendulum is replaced by one with a mass of 0.300kg and set to swing with a 15 degree angle a) time period and frequency is independent on mass and angle       b)   total energy    E = kinetic energy + potential energy       According to law of conservation of energy         potential energy at height   is equal to kinetic energy at lowest point .         total energy is remains same . c) kinetic energy at lowest point is             K.E = (1/2) m v2   = m g h                              v = 2 g h                                  = 2 g L ( 1- cos )     angle in creses   speed of mass at lowest poin increases        

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