For an underdamped system the higher the damping ratio the s

For an under-damped system the higher the damping ratio the smaller the frequency of vibration. (B) A three-degrees-of-freedom system has only three modes of vibration. (C) The smaller the damping coefficient the higher the damping ratio. (a) Statements (A) and (B) only are correct. (b) Statement (A) only is correct. (c) None of the statements is correct. (d) Statement (B) only is correct. (e) Statement (C) only is correct.

Solution

A MECHANICAL SYSTEM OF N DEGREES OF FREEDOM HAS EXACTLY N NATURAL MODES.

FOR AN UNDERDAMPED WD = SQRT( 1- sqr of DAMP RATIO * WN)

OPTION A IS CORRECT