Wave Mechanics Question 598
Question: Two springs, each of spring constant $ k=100N/m $ , are attached to a block of mass 2 kg as shown in the figure. The block can slide smoothly along a horizontal platform clamped to the opposite walls of the trolley of mass 5kg. If the block is displaced by x cm. and released, the period of oscillation in seconds is
Options:
A) $ T=2\pi \sqrt{\frac{1}{20}} $
B) $ T=2\pi \sqrt{\frac{7}{1000}} $
C) $ T=2\pi \sqrt{\frac{1}{140}} $
D) $ T=2\pi \frac{49}{100} $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ T=2\pi \sqrt{\frac{\mu }{2k}} $
$ \
Therefore \mu =\frac{m _{1}m _{2}}{m _{1}+m _{2}} $
$ T=2\pi \sqrt{\frac{10}{7\times 200}}=\frac{2\times 5}{7}=\frac{10}{7}=2\pi \sqrt{\frac{1}{140}} $
BETA
