Spring Force is considered one of the most asked concept.
12 Questions around this concept.
A spring whose unstretched length is I has a force constant k. The spring is cut into two pieces of unstretched lengths $l_1$ and $l_2$ where $l_1=n l_2$ and n is an integer. The ratio $k_1 / k_2$ of the corresponding force constants, $k_1$ and $k_2$ will be:
In Series combination, the effective spring constant is given by
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A spring is compressed by 0.2 m, and it exerts a force of 10 N. What will be the force exerted by the spring if it is compressed by 0.4 m?
A block of mass 1 kg is placed over a frictionless bar as shown in the figure. Initially, the block was at rest, and spring was in its natural length. If a horizontal bar starts rotating about a vertical axis about its one end with constant angular velocity of 10 rad/s. Then the required spring constant to keep the block in equilibrium:

Spring force is given by:
$F_{s p}=-k \Delta x$
where,
Fsp=spring force
k= spring constant
Δx=net elongation or compression in the spring
2. Force at every point in a massless spring remains the same, so we can solve questions of spring by considering it as string and spring force as tension.
3. Spring constant:-
$k \alpha \frac{1}{l}$
Where, k=spring constant
l=length of spring
4. Combination of Spring:-
Series combination:-


$\frac{1}{k_{e q}}=\frac{1}{k_1}+\frac{1}{k_2}$
Parallel combination:-




$k_{e q}=k_1+k_2$
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