All Problems

Mechanical Oscillations

Problem 4.34

A body AA of mass m1=1.00 kgm_{1}=1.00 \mathrm{~kg} and a body BB of mass m2=m_{2}= =4.10 kg=4.10 \mathrm{~kg} are interconnected by a spring as shown in Fig. 4.9.4.9 . The body AA performs free vertical harmonic oscillations with amplitude a=1.6 cma=1.6 \mathrm{~cm} and frequency ω=25 s1\omega=25 \mathrm{~s}^{-1}. Neglecting the mass of the spring, find the maximum and minimum values of force that this system exerts on the bearing surface.

Reveal Answer
4.34.F=(m1+m2)g±±m1aω2=60 and 40 N.\begin{aligned} & 4.34 . & F=\left(m_{1}+m_{2}\right) g \pm \\ \pm & m_{1} a \omega^{2}=60 \text { and } 40 \mathrm{~N} . \end{aligned}