Question

A block of mass 1 kg is kept on smooth floor of a truck. One end of a spring of force constant 100 N/m is attached to the block and other end is attached to the body of truck as shown in the figure. At t=0, truck begins to move with constant acceleration 2 m/s${}^2$. The amplitude of oscillation of block relative to the floor of truck is:

• A. 0.06 m
• B. 0.02 m
• C. 0.04 m
• D. 0.03 m

Answer 1

The correct option is B 0.02 m

Let $x_0$ is the compression in equilibrium.

Then, $k{x}_0=ma$
$x_0=\frac{ma}{k}$ $=\frac{1\times 2}{100}$ $=0.02$ m
Amplitude$=x_0$ $=0.02$ m