Question

You can generate the series spring addition formula by considering a mass M attached
by a spring with constant k1
to a mass m which is attached by a spring with constant k2
to the wall.
Taking m → 0 eliminates the intermediate mass, leaving us with an effective force acting on M. To
extract that effective force and the effective spring constant it implies, write the equations of
motion for M and m ≠ 0, then take m → 0 and see what the equation of motion for M must become
– the constant in front of the distance to M defines the spring constant. Do you recover (4.3) for k1
= k2 ≡ k?

Answer 1

Answer:

In the case of series connection, the elastic force in each spring is equal to the force of gravity (without taking into account the weight of the springs). The total extension is the sum of the extensions of each spring: x=x1+x2.

Answer 2

Answer:

Hear this out loud

In the spring–mass system shown in its unstrained position in Fig. 15.27(a) the potential energy of the mass, m, is defined as the product of its weight and its height, h, above some arbitrary fixed datum. In other words, it possesses energy by virtue of its position.

Step-by-step explanation:

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