You are riding in an automobile of mass 3000 kg . Assuming that you are examining the oscillation characterisitics of its suspension system. The suspension sags 15 cm when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 50% during one complete oscillation. Estimate thevalue of spring constant k .

You are riding in an automobile of mass 3000 kg . Assuming that you ar

1.	You are riding in an automobile of mass 3000 kg . Assuming that you are examining the oscillation characterisitics of its suspension system. The suspension sags 15 cm when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 50% during one complete oscillation. Estimate thevalue of spring constant k .
Answer» Solution :F= mg = `3000 XX 10 = 3xx10^4 N` `x=-15 xx 10^(-2) m` 4 springs in parallel `K= 4K, F=-(4K) x` `K =-F/(4x) =(-3xx 10^4)/(4(-15xx10^(-2))) = 5 xx 10^4 N//m`