First slide

Applications of SHM

Question

A mass of 2kg attached to a spring of force constant 260 N $m^{- 1}$ makes 100 oscillations. What is the time taken for 100 oscillations?

Moderate

A

56.09 sec
B

54.09 sec
C

55.09 sec
D

58.09 sec

Solution

Time period of mass attached to a spring is
$t i m e p e r i o d = T = 2 π \sqrt{\frac{m}{K}} = 2 (3.14) \sqrt{\frac{2}{260}} = 0.5509 \sec w h e r e m = m a s s a t t a c h e d t o s p r i n g k = f o r c e c o n s \tan t T = 0.5509 i s t i m e t a k e n f o r 1 o s c i l l a t i o n$
Time taken for 100 oscillations = 0.5509 x 100 = 55.09 sec

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