Analysis Of Pendulum

Minimum thickness of cylinder, t=(PD)/2ϭ C. Design of pendulum :
When the pendulum is allowed to drop downwards, it keeps losing its potential energy, but it gains velocity and in that way it transforms potential energy into kinetic energy. When a body is moving along a curved path, it is subject to both, centripetal and centrifugal force. They have the same intensity but in the opposite directions. In practice, the tension force and the reaction acting on the pivot are the same forces, but we will use only force T. The formula for the tension force in the pendulum rod, with fixed pivot point, is shown below:
T = Mg (3cos(φ) - 2cos(φo)),N (1)
Where, φo is the angle of initial position 1, and φ is the angle from a vertical line i.e.

That component will also decrease with the increase of the angle φ, independently from the decrease of tension force T. The formula for the vertical component of the tension force is:
Ty = T cos (φ) = Mg (3cos(φ) - 2cos(φo)) cos (φ) (2)
Working:
The working principle of the water pump with a pendulum: oscillation of the physical pendulum (1) is maintained with a minimum engaging hand. A variation of inertial forces causes the oscillation of two-armed lever (2), which is associated with a piston pump (3), and there is a spring (4). To get the water running out of the pump, the pendulum needs to be out of balance. After that, based on gravitational potential, the piston starts oscillating and the continuous stream of water is coming out of the output pipe. The pendulum should be occasionally pushed, to maintain the amplitude.
Hand water pump with a pendulum for pumping water out from wells or reservoirs consists of a cylinder (1) with a piston (2), lever system (3), a seesaw (4), a pendulum (5), a reservoir (6) and output water pipe (7).Initially, the pendulum is at rest. When we supply the mechanical energy to it through hand or other means, it starts oscillating about its mean position, according to the Newton’s second law of

As the installation cost of water pump with pendulum is low it is useful for poor people. It can be installed in all the public places. It can be operated by children or old people as the force required by the pump is low.
VII. CONCLUSION AND DISCUSSION
The free energy of the machine based on oscillation of the pendulum-lever system, is defined in this study, as a difference between the output energy of the machine and the energy input from the environment. Existing free energy defined in this way is not in accordance with the energy conservation law, but it has been verified experimentally and it can be explained and proven.
The system takes its energy from available surrounding i.e. gravity. So if, along with the input energy, the energy from surrounding is also considered, then the efficiency of the system is less than 100 % and if only input is considered then its efficiency would be greater than 100 % for a certain time. If the pendulum motion is kept by giving some external media then the energy is transfer through pivoted joint of lever towards pump shaft. In this way we conclude the energy flow of system.

VIII.