**
**When there is a reduction in amplitude over every cycle of vibration, then the body is said to have

When there is a reduction in amplitude over every cycle of vibration, then the body is said to have

**(A)**

free vibration

**(B)**

forced vibration

**(C)**

damped vibration

**(D)**

none of the mentioned

**C**

**
**When there is a constant amplitude over every cycle of vibration, then the body is said to have

When there is a constant amplitude over every cycle of vibration, then the body is said to have

**(A)**

free vibration

**(B)**

forced vibration

**(C)**

undamped vibration

**(D)**

none of the mentioned

**C**

**
**In under damped vibrating system, if x1 and x2 are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to

In under damped vibrating system, if x1 and x2 are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to

**(A)**

$$\frac{x_1}{x_2}$$

**(B)**

$$\ln\left(\frac{x_1}{x_2}\right)$$

**(C)**

$$\log_e\left(\frac{x_1}{x_2}\right)$$

**(D)**

$$\log\left(\frac{x_1}{x_2}\right)$$

**B**

**
**The ratio of the maximum displacement of the forced vibration to the deflection due to the static force, is known as

The ratio of the maximum displacement of the forced vibration to the deflection due to the static force, is known as

**(A)**

damping factor

**(B)**

damping coefficient

**(C)**

logarithmic decrement

**(D)**

magnification factor

**D**

**
**Two springs have spring stiffness of 1500 N/m and 2000 N/m respectively. If they are connected in series, what is the spring stiffness of an equivalent system.

Two springs have spring stiffness of 1500 N/m and 2000 N/m respectively. If they are connected in series, what is the spring stiffness of an equivalent system.

**(A)**

3500 N/m

**(B)**

1166 N/m

**(C)**

857.63 N/m

**(D)**

None of the above

**C**