First slide

Application of Newtons laws

Question

Initially the spring is undeformed. Now the force F is applied to B as shown in the figure. When the displacement of B w.r.t. A is x towards right in some time then the
relative acceleration of B w.r.t. A at that moment is

Moderate

A

$\frac{F}{2 m}$
B

$\frac{F - k x}{m}$
C

$\frac{F - 2 k x}{m}$
D

none of these

Solution

$F - k x = m b and k x = m a$
$Hence m (b - a) = F - 2 k x or b - a = \frac{F - 2 k x}{m}$

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