System of springs: Energy stored in different springs

You can assume that air resistance and other frictional forces can be ignored in this question

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a) Define a datum for the gravitational potential energy of particle P.
b) Write down the gravitational potential energy of particle P at a general point of motion.
c) Write down the kinetic energy of a particle Pat the same instant
d) Determine the potential energy stored n each spring at the same instant.
e) Write down an expression representing the total mechanical energy of the system at the same instant.

(a)
For all such problems the gravitational potential energy means the difference in potential energy of the particle from that at a particular reference level. Mostly the reference level is taken as the surface of earth and the gravitational potential energy of a particle of mass m, at a height h above the surface of earth, is given by m*g*h.
Here we may take the top level ...

Solution Summary

A particle is attached to three different springs such that two springs are in parallel and one in series with this parallel combination. The particle is in displaced position from its equilibrium position. The different parts of the question are solved for required energies.

... The potential energy of the two-spring systems are examined. ... is the potential energy of the two-spring system after the ... the lengths of the two springs in the ...

... PE stored in the spring = ½ k(h/2)^2 = kh2 ... By conservation of mechanical energy: 2.5v^2 + 6 + 3 ...Spring system with mass attached and dropped A spring (k = 400 N ...

Internal Energy of a Gas System: Partition, Conservation. ... long as the force exerted by the spring is less ... always be the same as the elastic energy stored by the ...

... the PE stored is zero. As mass-spring system is an isolated one and the spring's restoring force is a conservative force, total mechanical energy of the system...

... Discuss this system in terms of mechanical energy... moves down on the spring and the spring is compressed ... mass goes down, it loses its potential energy (mgh) which ...

... stable equilibrium point, it has no energy stored, thus all ... speed is attained when the kinetic energy is maximal ... speed of mass in a mass-spring system maximum? ...

... therefore, in order to find the total energy of the system I will find the energy at point A. I am able use the equation for the spring below because x is ...

... according to law of conservation for system of m2 ... is no friction, whole elastic potential energy initially stored in the compressed spring is utilized ...

... The platform and springs have negligible mass ... the system and hence the energy of the system is conserved ... the kinetic energy is zero but the spring is compressed ...