Question

A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm–1 . The mass is displaced by 10 mm from its equilibrium position and released, as shown in Figure 1. For the resulting vibration, calculate:

(a) (i)

the frequency of vibration;

2. (ii) the maximum velocity of the mass during the vibration;

3. (iii) the maximum acceleration of the mass during the vibration;

4. (iv) the mass required to produce double the maximum velocity

   calculated in (ii) using the same spring and initial deflection.

(b) Plot a graph of acceleration, a against displacement, x for a domain of

x = –10 mm to x = +10 mm

Figure 1

200 N m 0.3 kg 10 mm 0.3 kg Equilibrium position 10 mm 0.3 kg

Answer 1

reひenget Vibration 0.3 attn on Manin rom acceleration of ma48|ana») 11ジ Pory.mg河i 6.ケ ret» (red (Mn):2 IV mass

0 6666.724