Damped Oscillations
Trending Questions
For the damped oscillator shown, the mass m of the block is 200 g, k = 90 N m−1 and the damping constant b is 40 g s−1. What is the period of oscillation, time taken for its amplitude of vibrations to drop to half of its initial value.
1s, 6.93s
0.3s, 6.93s
0.6s, 6.93s
0.3s, 3s
For the damped oscillator system shown with m = 250g, k = 85 N/m, and b = 70 g/s, what is the ratio of the oscillation amplitude at the end of 20 cycles to the initial oscillation amplitude?
1:2
19:50
20:21
5:6
You are riding in an automobile of mass 3000 kg. Assuming that you are examining the oscillation characteristics of its suspension system, the suspension hangs 15 cm when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 50% during one complete oscillation. The values of the spring constant k and the damping constant b for the spring and shock absorber system of one wheel (assuming that each wheel supports 750 kg) are:
2 × 105 Nm-1, 1.8 kg s-1
5 × 104 Nm-1, 8.1 kg s-1
2 × 105 Nm-1, 1344 kg s-1
5 × 104 Nm-1, 1344 kg s-1
- True
- False
- increase
- decrease
- remains same
- greater than natural frequency
- less than natural frequency
- equal to natural frequency
- both (a) and (b)
(Ao is initial amplitude)
- Ao4
- Ao2
- Ao
- √3Ao2
- 4
- 8
- 16
- 32
- n1
- n2
- n1+n22
- (n1+n2)
- Decreases sinusoidally
- Decreases exponentially
- Always remains constant
- Decreases linearly