To determine the spring constant of a spring by using the method of vertical oscillations

**SPRING CONSTANT OF A SPRING**

To
determine the spring constant of a spring by using the method of vertical
oscillations

Spring,
rigid support, hook, 50 g mass hanger, 50 g slotted masses, stop clock, metre
scale, pointer

Spring
constant of the spring k

where

M_{1},
M_{2} â†’ selected loads in kg

T_{1},
T_{2} â†’ time period corresponding to masses M_{1} and M_{2}
respectively in second

Â·
A spring
is firmly suspended vertically from a rigid clamp of a wooden stand at its upper
end with a mass hanger attached to its lower end. A pointer fixed at the lower
end of the spring moves over a vertical scale fixed.

Â· A suitable load M (eg; 100 g ) is added to the mass hanger and the reading on the scale at which the pointer comes to rest is noted. This is the equilibrium position.

Â·
The mass
in the hanger is pulled downward and released so that the spring oscillates
vertically on either side of the equilibrium position.

Â·
When the
pointer crosses the equilibrium position a stop clock is started and the time
taken for 10 vertical oscillations is noted. Then the period of oscillation T
is calculated.

Â·
The
experiment is repeated by adding masses in steps of 50 g to the mass hanger and
period of oscillation at each time is calculated.

Â·
For the
masses M_{1} and M_{2} ( with a difference of 50 g ), if T_{1}
and T_{2} are the corresponding periods, then the value M_{2} â€“
M_{1} / T_{2}^{2} â€“ T_{1}^{2} is
calculated and its average is found.

Â·
Using the
given formula the spring constant of the given spring is calculated.

Spring
constant of the spring k

The spring
constant of the given spring k = . . . . . . . . . . . . kg s^{-2}

Tags : Physics Laboratory Practical Experiment , 11th Physics : Practical Experiment

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11th Physics : Practical Experiment : Spring Constant of a Spring | Physics Laboratory Practical Experiment

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