Oscillations - Result Question 60

65. A mass m is suspended from a two coupled springs, connected in series. The force constant for springs are k1 and k2. The time period of the suspended mass will be

[1990]

(a) T=2πmk1k2

(b) T=2πmk1k2k1+k2

(c) T=2πmk1+k2

(d) T=2πm(k1+k2)k1k2

Topic 4: Damped SHM, Forced Ocillations

& Resonance66. The damping force on an oscillator is directly proportional to the velocity. The unit of the constant of proportionality is:

(a) kgms1

(c) kgs1

(b) kgms2

(d) kgs

[2012]

Show Answer

Solution:

  1. (d) The effective spring constant of two springs in series; K=k1k2k1+k2.

Time period,

T=2πmK=2πm(k1+k2)k1k2



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