S H M problem Time Period

JEE Main 2015 Guidance › Mechanics questions › S H M problem Time Period

In the given figure, the spring has spring constant k . The pulley is light and smooth , the spring and the string are light. The suspended block has a mass m. If the block is slightly displaced from its equilibrium position and then released.Find the time period of its vertical oscillation.

#Physics #Mechanics

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3 Answers

23

qwerty ·2011-04-11 03:58:01

just find by how much does the spring stretches when you displace the mass by x

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30

Ashish Kothari ·2011-04-11 05:19:43

Let the spring be stretched by x₀ and the block be displaced by x.

If the restoring force on the block be F_r.

Note, 2x₀=x ... (i)

2F_r = kx₀

x₀ = 2F_rk

Put in (i),

4F_rk=x

4mÏ‰²x = kx

Ï‰ = 12âˆš(k/m)

Time period = 4\pi \sqrt{\frac{m}{k}}

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Pratikshit Singh ·2011-04-11 07:18:53

Ohh thanks Ashish i did everything right except equating 2f_r=kx_o i equated
f_r=kx_o

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